PR contents

(last sync)

feat(analysis/inner_product_space): the adjoint for unbounded operators (#18820)

Diff

@@ -470,6 +470,8 @@ def to_pmap (f : E →ₗ[R] F) (p : submodule R E) : E →ₗ.[R] F :=
 @[simp] lemma to_pmap_apply (f : E →ₗ[R] F) (p : submodule R E) (x : p) :
   f.to_pmap p x = f x := rfl
 
+@[simp] lemma to_pmap_domain (f : E →ₗ[R] F) (p : submodule R E) : (f.to_pmap p).domain = p := rfl
+
 /-- Compose a linear map with a `linear_pmap` -/
 def comp_pmap (g : F →ₗ[R] G) (f : E →ₗ.[R] F) : E →ₗ.[R] G :=
 { domain := f.domain,

(first ported)

Changes in mathlib3port

mathlib3

mathlib3port

bump to nightly-2024-04-06-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

e34029c9

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2020 Yury Kudryashov All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov, Moritz Doll
 -/
-import LinearAlgebra.Basic
+import Algebra.Module.Submodule.Ker
 import LinearAlgebra.Prod
 
 #align_import linear_algebra.linear_pmap from "leanprover-community/mathlib"@"8b981918a93bc45a8600de608cde7944a80d92b9"

bump to nightly-2024-03-17-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

22f01ce4

Diff

@@ -353,7 +353,7 @@ private theorem sup_aux (f g : E →ₗ.[R] F)
     dsimp [fg]
     rw [add_comm, ← sub_eq_sub_iff_add_eq_add, eq_comm, ← map_sub, ← map_sub]
     apply h
-    simp only [← eq_sub_iff_add_eq] at hxy 
+    simp only [← eq_sub_iff_add_eq] at hxy
     simp only [AddSubgroupClass.coe_sub, coe_mk, coe_mk, hxy, ← sub_add, ← sub_sub, sub_self,
       zero_sub, ← H]
     apply neg_add_eq_sub
@@ -431,7 +431,7 @@ protected theorem sup_le {f g h : E →ₗ.[R] F}
 theorem sup_h_of_disjoint (f g : E →ₗ.[R] F) (h : Disjoint f.domain g.domain) (x : f.domain)
     (y : g.domain) (hxy : (x : E) = y) : f x = g y :=
   by
-  rw [disjoint_def] at h 
+  rw [disjoint_def] at h
   have hy : y = 0 := Subtype.eq (h y (hxy ▸ x.2) y.2)
   have hx : x = 0 := Subtype.eq (hxy.trans <| congr_arg _ hy)
   simp [*]
@@ -565,7 +565,7 @@ private theorem Sup_aux (c : Set (E →ₗ.[R] F)) (hc : DirectedOn (· ≤ ·)
     rintro x
     apply Classical.indefiniteDescription
     have := (mem_Sup_of_directed (cne.image _) hdir).1 x.2
-    rwa [bex_image_iff, SetCoe.exists'] at this 
+    rwa [bex_image_iff, SetCoe.exists'] at this
   set f : Sup (domain '' c) → F := fun x => (P x).val.val ⟨x, (P x).property⟩
   have f_eq : ∀ (p : c) (x : Sup (domain '' c)) (y : p.1.1) (hxy : (x : E) = y), f x = p.1 y :=
     by
@@ -777,19 +777,19 @@ theorem smul_graph (f : E →ₗ.[R] F) (z : M) :
   by
   ext x; cases x
   constructor <;> intro h
-  · rw [mem_graph_iff] at h 
+  · rw [mem_graph_iff] at h
     rcases h with ⟨y, hy, h⟩
-    rw [LinearPMap.smul_apply] at h 
+    rw [LinearPMap.smul_apply] at h
     rw [Submodule.mem_map]
     simp only [mem_graph_iff, LinearMap.prodMap_apply, LinearMap.id_coe, id.def,
       LinearMap.smul_apply, Prod.mk.inj_iff, Prod.exists, exists_exists_and_eq_and]
     use x_fst, y
     simp [hy, h]
-  rw [Submodule.mem_map] at h 
+  rw [Submodule.mem_map] at h
   rcases h with ⟨x', hx', h⟩
   cases x'
   simp only [LinearMap.prodMap_apply, LinearMap.id_coe, id.def, LinearMap.smul_apply,
-    Prod.mk.inj_iff] at h 
+    Prod.mk.inj_iff] at h
   rw [mem_graph_iff] at hx' ⊢
   rcases hx' with ⟨y, hy, hx'⟩
   use y
@@ -805,19 +805,19 @@ theorem neg_graph (f : E →ₗ.[R] F) :
   by
   ext; cases x
   constructor <;> intro h
-  · rw [mem_graph_iff] at h 
+  · rw [mem_graph_iff] at h
     rcases h with ⟨y, hy, h⟩
-    rw [LinearPMap.neg_apply] at h 
+    rw [LinearPMap.neg_apply] at h
     rw [Submodule.mem_map]
     simp only [mem_graph_iff, LinearMap.prodMap_apply, LinearMap.id_coe, id.def,
       LinearMap.neg_apply, Prod.mk.inj_iff, Prod.exists, exists_exists_and_eq_and]
     use x_fst, y
     simp [hy, h]
-  rw [Submodule.mem_map] at h 
+  rw [Submodule.mem_map] at h
   rcases h with ⟨x', hx', h⟩
   cases x'
   simp only [LinearMap.prodMap_apply, LinearMap.id_coe, id.def, LinearMap.neg_apply,
-    Prod.mk.inj_iff] at h 
+    Prod.mk.inj_iff] at h
   rw [mem_graph_iff] at hx' ⊢
   rcases hx' with ⟨y, hy, hx'⟩
   use y
@@ -830,11 +830,11 @@ theorem neg_graph (f : E →ₗ.[R] F) :
 theorem mem_graph_snd_inj (f : E →ₗ.[R] F) {x y : E} {x' y' : F} (hx : (x, x') ∈ f.graph)
     (hy : (y, y') ∈ f.graph) (hxy : x = y) : x' = y' :=
   by
-  rw [mem_graph_iff] at hx hy 
+  rw [mem_graph_iff] at hx hy
   rcases hx with ⟨x'', hx1, hx2⟩
   rcases hy with ⟨y'', hy1, hy2⟩
-  simp only at hx1 hx2 hy1 hy2 
-  rw [← hx1, ← hy1, SetLike.coe_eq_coe] at hxy 
+  simp only at hx1 hx2 hy1 hy2
+  rw [← hx1, ← hy1, SetLike.coe_eq_coe] at hxy
   rw [← hx2, ← hy2, hxy]
 #align linear_pmap.mem_graph_snd_inj LinearPMap.mem_graph_snd_inj
 -/
@@ -860,9 +860,9 @@ theorem mem_domain_iff {f : E →ₗ.[R] F} {x : E} : x ∈ f.domain ↔ ∃ y :
   · use f ⟨x, h⟩
     exact f.mem_graph ⟨x, h⟩
   cases' h with y h
-  rw [mem_graph_iff] at h 
+  rw [mem_graph_iff] at h
   cases' h with x' h
-  simp only at h 
+  simp only at h
   rw [← h.1]
   simp
 #align linear_pmap.mem_domain_iff LinearPMap.mem_domain_iff
@@ -882,7 +882,7 @@ theorem image_iff {f : E →ₗ.[R] F} {x : E} {y : F} (hx : x ∈ f.domain) :
   · use⟨x, hx⟩
     simp [h]
   rcases h with ⟨⟨x', hx'⟩, ⟨h1, h2⟩⟩
-  simp only [Submodule.coe_mk] at h1 h2 
+  simp only [Submodule.coe_mk] at h1 h2
   simp only [← h2, h1]
 #align linear_pmap.image_iff LinearPMap.image_iff
 -/
@@ -891,17 +891,17 @@ theorem image_iff {f : E →ₗ.[R] F} {x : E} {y : F} (hx : x ∈ f.domain) :
 theorem mem_range_iff {f : E →ₗ.[R] F} {y : F} : y ∈ Set.range f ↔ ∃ x : E, (x, y) ∈ f.graph :=
   by
   constructor <;> intro h
-  · rw [Set.mem_range] at h 
+  · rw [Set.mem_range] at h
     rcases h with ⟨⟨x, hx⟩, h⟩
     use x
     rw [← h]
     exact f.mem_graph ⟨x, hx⟩
   cases' h with x h
-  rw [mem_graph_iff] at h 
+  rw [mem_graph_iff] at h
   cases' h with x h
   rw [Set.mem_range]
   use x
-  simp only at h 
+  simp only at h
   rw [h.2]
 #align linear_pmap.mem_range_iff LinearPMap.mem_range_iff
 -/
@@ -924,8 +924,8 @@ theorem le_of_le_graph {f g : E →ₗ.[R] F} (h : f.graph ≤ g.graph) : f ≤
   rintro ⟨x, hx⟩ ⟨y, hy⟩ hxy
   rw [image_iff]
   refine' h _
-  simp only [Submodule.coe_mk] at hxy 
-  rw [hxy] at hx 
+  simp only [Submodule.coe_mk] at hxy
+  rw [hxy] at hx
   rw [← image_iff hx]
   simp [hxy]
 #align linear_pmap.le_of_le_graph LinearPMap.le_of_le_graph
@@ -1011,14 +1011,14 @@ noncomputable def toLinearPMap (g : Submodule R (E × F))
         have hadd := (g.map (LinearMap.fst R E F)).add_mem v.2 w.2
         have hvw := val_from_graph_mem hg hadd
         have hvw' := g.add_mem (val_from_graph_mem hg v.2) (val_from_graph_mem hg w.2)
-        rw [Prod.mk_add_mk] at hvw' 
+        rw [Prod.mk_add_mk] at hvw'
         exact (exists_unique_from_graph hg hadd).unique hvw hvw'
       map_smul' := fun a v =>
         by
         have hsmul := (g.map (LinearMap.fst R E F)).smul_mem a v.2
         have hav := val_from_graph_mem hg hsmul
         have hav' := g.smul_mem a (val_from_graph_mem hg v.2)
-        rw [Prod.smul_mk] at hav' 
+        rw [Prod.smul_mk] at hav'
         exact (exists_unique_from_graph hg hsmul).unique hav hav' }
 #align submodule.to_linear_pmap Submodule.toLinearPMap
 -/
@@ -1038,7 +1038,7 @@ theorem toLinearPMap_graph_eq (g : Submodule R (E × F))
     (g.toLinearPMap hg).graph = g := by
   ext
   constructor <;> intro hx
-  · rw [LinearPMap.mem_graph_iff] at hx 
+  · rw [LinearPMap.mem_graph_iff] at hx
     rcases hx with ⟨y, hx1, hx2⟩
     convert g.mem_graph_to_linear_pmap hg y
     rw [Subtype.val_eq_coe]

bump to nightly-2023-11-29-11

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

049e2cad

Diff

@@ -255,11 +255,11 @@ theorem neg_apply (f : E →ₗ.[R] F) (x) : (-f) x = -f x :=
 instance : LE (E →ₗ.[R] F) :=
   ⟨fun f g => f.domain ≤ g.domain ∧ ∀ ⦃x : f.domain⦄ ⦃y : g.domain⦄ (h : (x : E) = y), f x = g y⟩
 
-#print LinearPMap.apply_comp_ofLe /-
-theorem apply_comp_ofLe {T S : E →ₗ.[R] F} (h : T ≤ S) (x : T.domain) :
-    T x = S (Submodule.ofLe h.1 x) :=
+#print LinearPMap.apply_comp_inclusion /-
+theorem apply_comp_inclusion {T S : E →ₗ.[R] F} (h : T ≤ S) (x : T.domain) :
+    T x = S (Submodule.inclusion h.1 x) :=
   h.2 rfl
-#align linear_pmap.apply_comp_of_le LinearPMap.apply_comp_ofLe
+#align linear_pmap.apply_comp_of_le LinearPMap.apply_comp_inclusion
 -/
 
 #print LinearPMap.exists_of_le /-
@@ -292,7 +292,7 @@ def eqLocus (f g : E →ₗ.[R] F) : Submodule R E
 -/
 
 instance : Inf (E →ₗ.[R] F) :=
-  ⟨fun f g => ⟨f.eqLocus g, f.toFun.comp <| ofLe fun x hx => hx.fst⟩⟩
+  ⟨fun f g => ⟨f.eqLocus g, f.toFun.comp <| inclusion fun x hx => hx.fst⟩⟩
 
 instance : Bot (E →ₗ.[R] F) :=
   ⟨⟨⊥, 0⟩⟩
@@ -305,7 +305,7 @@ instance : SemilatticeInf (E →ₗ.[R] F) where
   le_refl f := ⟨le_refl f.domain, fun x y h => Subtype.eq h ▸ rfl⟩
   le_trans := fun f g h ⟨fg_le, fg_eq⟩ ⟨gh_le, gh_eq⟩ =>
     ⟨le_trans fg_le gh_le, fun x z hxz =>
-      have hxy : (x : E) = ofLe fg_le x := rfl
+      have hxy : (x : E) = inclusion fg_le x := rfl
       (fg_eq hxy).trans (gh_eq <| hxy.symm.trans hxz)⟩
   le_antisymm f g fg gf := eq_of_le_of_domain_eq fg (le_antisymm fg.1 gf.1)
   inf := (· ⊓ ·)
@@ -707,7 +707,7 @@ theorem coprod_apply (f : E →ₗ.[R] G) (g : F →ₗ.[R] G) (x) :
 #print LinearPMap.domRestrict /-
 /-- Restrict a partially defined linear map to a submodule of `E` contained in `f.domain`. -/
 def domRestrict (f : E →ₗ.[R] F) (S : Submodule R E) : E →ₗ.[R] F :=
-  ⟨S ⊓ f.domain, f.toFun.comp (Submodule.ofLe (by simp))⟩
+  ⟨S ⊓ f.domain, f.toFun.comp (Submodule.inclusion (by simp))⟩
 #align linear_pmap.dom_restrict LinearPMap.domRestrict
 -/
 
@@ -723,7 +723,7 @@ theorem domRestrict_domain (f : E →ₗ.[R] F) {S : Submodule R E} :
 theorem domRestrict_apply {f : E →ₗ.[R] F} {S : Submodule R E} ⦃x : S ⊓ f.domain⦄ ⦃y : f.domain⦄
     (h : (x : E) = y) : f.domRestrict S x = f y :=
   by
-  have : Submodule.ofLe (by simp) x = y := by ext; simp [h]
+  have : Submodule.inclusion (by simp) x = y := by ext; simp [h]
   rw [← this]
   exact LinearPMap.mk_apply _ _ _
 #align linear_pmap.dom_restrict_apply LinearPMap.domRestrict_apply

bump to nightly-2023-09-24-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451

5655435f

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2020 Yury Kudryashov All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov, Moritz Doll
 -/
-import Mathbin.LinearAlgebra.Basic
-import Mathbin.LinearAlgebra.Prod
+import LinearAlgebra.Basic
+import LinearAlgebra.Prod
 
 #align_import linear_algebra.linear_pmap from "leanprover-community/mathlib"@"8b981918a93bc45a8600de608cde7944a80d92b9"

bump to nightly-2023-08-17-09

mathlib commit https://github.com/leanprover-community/mathlib/commit/32a7e535287f9c73f2e4d2aef306a39190f0b504

60285dcc

Diff

@@ -478,7 +478,7 @@ instance [SMul M N] [IsScalarTower M N F] : IsScalarTower M N (E →ₗ.[R] F) :
 instance : MulAction M (E →ₗ.[R] F) where
   smul := (· • ·)
   one_smul := fun ⟨s, f⟩ => ext' <| one_smul M f
-  mul_smul a b f := ext' <| mul_smul a b f.toFun
+  hMul_smul a b f := ext' <| hMul_smul a b f.toFun
 
 end Smul

bump to nightly-2023-08-02-01

mathlib commit https://github.com/leanprover-community/mathlib/commit/63721b2c3eba6c325ecf8ae8cca27155a4f6306f

7aca3f15

Diff

@@ -879,7 +879,7 @@ theorem image_iff {f : E →ₗ.[R] F} {x : E} {y : F} (hx : x ∈ f.domain) :
     y = f ⟨x, hx⟩ ↔ (x, y) ∈ f.graph := by
   rw [mem_graph_iff]
   constructor <;> intro h
-  · use ⟨x, hx⟩
+  · use⟨x, hx⟩
     simp [h]
   rcases h with ⟨⟨x', hx'⟩, ⟨h1, h2⟩⟩
   simp only [Submodule.coe_mk] at h1 h2

bump to nightly-2023-07-20-09

mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345

9c56d0dd

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2020 Yury Kudryashov All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov, Moritz Doll
-
-! This file was ported from Lean 3 source module linear_algebra.linear_pmap
-! leanprover-community/mathlib commit 8b981918a93bc45a8600de608cde7944a80d92b9
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.LinearAlgebra.Basic
 import Mathbin.LinearAlgebra.Prod
 
+#align_import linear_algebra.linear_pmap from "leanprover-community/mathlib"@"8b981918a93bc45a8600de608cde7944a80d92b9"
+
 /-!
 # Partially defined linear maps

bump to nightly-2023-06-28-01

mathlib commit https://github.com/leanprover-community/mathlib/commit/8b981918a93bc45a8600de608cde7944a80d92b9

c13c40e8

Diff

@@ -644,10 +644,12 @@ theorem toPMap_apply (f : E →ₗ[R] F) (p : Submodule R E) (x : p) : f.toPMap
 #align linear_map.to_pmap_apply LinearMap.toPMap_apply
 -/
 
+#print LinearMap.toPMap_domain /-
 @[simp]
 theorem toPMap_domain (f : E →ₗ[R] F) (p : Submodule R E) : (f.toPMap p).domain = p :=
   rfl
 #align linear_map.to_pmap_domain LinearMap.toPMap_domain
+-/
 
 #print LinearMap.compPMap /-
 /-- Compose a linear map with a `linear_pmap` -/

bump to nightly-2023-06-27-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/8b981918a93bc45a8600de608cde7944a80d92b9

b5e0c440

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov, Moritz Doll
 
 ! This file was ported from Lean 3 source module linear_algebra.linear_pmap
-! leanprover-community/mathlib commit ee05e9ce1322178f0c12004eb93c00d2c8c00ed2
+! leanprover-community/mathlib commit 8b981918a93bc45a8600de608cde7944a80d92b9
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -644,6 +644,11 @@ theorem toPMap_apply (f : E →ₗ[R] F) (p : Submodule R E) (x : p) : f.toPMap
 #align linear_map.to_pmap_apply LinearMap.toPMap_apply
 -/
 
+@[simp]
+theorem toPMap_domain (f : E →ₗ[R] F) (p : Submodule R E) : (f.toPMap p).domain = p :=
+  rfl
+#align linear_map.to_pmap_domain LinearMap.toPMap_domain
+
 #print LinearMap.compPMap /-
 /-- Compose a linear map with a `linear_pmap` -/
 def compPMap (g : F →ₗ[R] G) (f : E →ₗ.[R] F) : E →ₗ.[R] G

bump to nightly-2023-06-13-21

mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423

829520ac

Diff

@@ -51,7 +51,6 @@ structure LinearPMap (R : Type u) [Ring R] (E : Type v) [AddCommGroup E] [Module
 #align linear_pmap LinearPMap
 -/
 
--- mathport name: «expr →ₗ.[ ] »
 notation:25 E " →ₗ.[" R:25 "] " F:0 => LinearPMap R E F
 
 variable {R : Type _} [Ring R] {E : Type _} [AddCommGroup E] [Module R E] {F : Type _}
@@ -64,11 +63,14 @@ open Submodule
 instance : CoeFun (E →ₗ.[R] F) fun f : E →ₗ.[R] F => f.domain → F :=
   ⟨fun f => f.toFun⟩
 
+#print LinearPMap.toFun_eq_coe /-
 @[simp]
 theorem toFun_eq_coe (f : E →ₗ.[R] F) (x : f.domain) : f.toFun x = f x :=
   rfl
 #align linear_pmap.to_fun_eq_coe LinearPMap.toFun_eq_coe
+-/
 
+#print LinearPMap.ext /-
 @[ext]
 theorem ext {f g : E →ₗ.[R] F} (h : f.domain = g.domain)
     (h' : ∀ ⦃x : f.domain⦄ ⦃y : g.domain⦄ (h : (x : E) = y), f x = g y) : f = g :=
@@ -79,44 +81,62 @@ theorem ext {f g : E →ₗ.[R] F} (h : f.domain = g.domain)
   obtain rfl : f = g := LinearMap.ext fun x => h' rfl
   rfl
 #align linear_pmap.ext LinearPMap.ext
+-/
 
+#print LinearPMap.map_zero /-
 @[simp]
 theorem map_zero (f : E →ₗ.[R] F) : f 0 = 0 :=
   f.toFun.map_zero
 #align linear_pmap.map_zero LinearPMap.map_zero
+-/
 
+#print LinearPMap.ext_iff /-
 theorem ext_iff {f g : E →ₗ.[R] F} :
     f = g ↔
       ∃ domain_eq : f.domain = g.domain,
         ∀ ⦃x : f.domain⦄ ⦃y : g.domain⦄ (h : (x : E) = y), f x = g y :=
   ⟨fun EQ => EQ ▸ ⟨rfl, fun x y h => by congr; exact_mod_cast h⟩, fun ⟨deq, feq⟩ => ext deq feq⟩
 #align linear_pmap.ext_iff LinearPMap.ext_iff
+-/
 
+#print LinearPMap.ext' /-
 theorem ext' {s : Submodule R E} {f g : s →ₗ[R] F} (h : f = g) : mk s f = mk s g :=
   h ▸ rfl
 #align linear_pmap.ext' LinearPMap.ext'
+-/
 
+#print LinearPMap.map_add /-
 theorem map_add (f : E →ₗ.[R] F) (x y : f.domain) : f (x + y) = f x + f y :=
   f.toFun.map_add x y
 #align linear_pmap.map_add LinearPMap.map_add
+-/
 
+#print LinearPMap.map_neg /-
 theorem map_neg (f : E →ₗ.[R] F) (x : f.domain) : f (-x) = -f x :=
   f.toFun.map_neg x
 #align linear_pmap.map_neg LinearPMap.map_neg
+-/
 
+#print LinearPMap.map_sub /-
 theorem map_sub (f : E →ₗ.[R] F) (x y : f.domain) : f (x - y) = f x - f y :=
   f.toFun.map_sub x y
 #align linear_pmap.map_sub LinearPMap.map_sub
+-/
 
+#print LinearPMap.map_smul /-
 theorem map_smul (f : E →ₗ.[R] F) (c : R) (x : f.domain) : f (c • x) = c • f x :=
   f.toFun.map_smul c x
 #align linear_pmap.map_smul LinearPMap.map_smul
+-/
 
+#print LinearPMap.mk_apply /-
 @[simp]
 theorem mk_apply (p : Submodule R E) (f : p →ₗ[R] F) (x : p) : mk p f x = f x :=
   rfl
 #align linear_pmap.mk_apply LinearPMap.mk_apply
+-/
 
+#print LinearPMap.mkSpanSingleton' /-
 /-- The unique `linear_pmap` on `R ∙ x` that sends `x` to `y`. This version works for modules
 over rings, and requires a proof of `∀ c, c • x = 0 → c • y = 0`. -/
 noncomputable def mkSpanSingleton' (x : E) (y : F) (H : ∀ c : R, c • x = 0 → c • y = 0) : E →ₗ.[R] F
@@ -140,13 +160,17 @@ noncomputable def mkSpanSingleton' (x : E) (y : F) (H : ∀ c : R, c • x = 0 
         simp only [mul_smul, Classical.choose_spec (mem_span_singleton.1 _)]
         apply coe_smul }
 #align linear_pmap.mk_span_singleton' LinearPMap.mkSpanSingleton'
+-/
 
+#print LinearPMap.domain_mkSpanSingleton /-
 @[simp]
 theorem domain_mkSpanSingleton (x : E) (y : F) (H : ∀ c : R, c • x = 0 → c • y = 0) :
     (mkSpanSingleton' x y H).domain = R ∙ x :=
   rfl
 #align linear_pmap.domain_mk_span_singleton LinearPMap.domain_mkSpanSingleton
+-/
 
+#print LinearPMap.mkSpanSingleton'_apply /-
 @[simp]
 theorem mkSpanSingleton'_apply (x : E) (y : F) (H : ∀ c : R, c • x = 0 → c • y = 0) (c : R) (h) :
     mkSpanSingleton' x y H ⟨c • x, h⟩ = c • y :=
@@ -157,13 +181,17 @@ theorem mkSpanSingleton'_apply (x : E) (y : F) (H : ∀ c : R, c • x = 0 → c
   simp only [sub_smul, one_smul, sub_eq_zero]
   apply Classical.choose_spec (mem_span_singleton.1 h)
 #align linear_pmap.mk_span_singleton'_apply LinearPMap.mkSpanSingleton'_apply
+-/
 
+#print LinearPMap.mkSpanSingleton'_apply_self /-
 @[simp]
 theorem mkSpanSingleton'_apply_self (x : E) (y : F) (H : ∀ c : R, c • x = 0 → c • y = 0) (h) :
     mkSpanSingleton' x y H ⟨x, h⟩ = y := by
   convert mk_span_singleton'_apply x y H 1 _ <;> rwa [one_smul]
 #align linear_pmap.mk_span_singleton'_apply_self LinearPMap.mkSpanSingleton'_apply_self
+-/
 
+#print LinearPMap.mkSpanSingleton /-
 /-- The unique `linear_pmap` on `span R {x}` that sends a non-zero vector `x` to `y`.
 This version works for modules over division rings. -/
 @[reducible]
@@ -172,65 +200,84 @@ noncomputable def mkSpanSingleton {K E F : Type _} [DivisionRing K] [AddCommGrou
   mkSpanSingleton' x y fun c hc =>
     (smul_eq_zero.1 hc).elim (fun hc => by rw [hc, zero_smul]) fun hx' => absurd hx' hx
 #align linear_pmap.mk_span_singleton LinearPMap.mkSpanSingleton
+-/
 
+#print LinearPMap.mkSpanSingleton_apply /-
 theorem mkSpanSingleton_apply (K : Type _) {E F : Type _} [DivisionRing K] [AddCommGroup E]
     [Module K E] [AddCommGroup F] [Module K F] {x : E} (hx : x ≠ 0) (y : F) :
     mkSpanSingleton x y hx ⟨x, (Submodule.mem_span_singleton_self x : x ∈ Submodule.span K {x})⟩ =
       y :=
   LinearPMap.mkSpanSingleton'_apply_self _ _ _ _
 #align linear_pmap.mk_span_singleton_apply LinearPMap.mkSpanSingleton_apply
+-/
 
+#print LinearPMap.fst /-
 /-- Projection to the first coordinate as a `linear_pmap` -/
 protected def fst (p : Submodule R E) (p' : Submodule R F) : E × F →ₗ.[R] E
     where
   domain := p.Prod p'
   toFun := (LinearMap.fst R E F).comp (p.Prod p').Subtype
 #align linear_pmap.fst LinearPMap.fst
+-/
 
+#print LinearPMap.fst_apply /-
 @[simp]
 theorem fst_apply (p : Submodule R E) (p' : Submodule R F) (x : p.Prod p') :
     LinearPMap.fst p p' x = (x : E × F).1 :=
   rfl
 #align linear_pmap.fst_apply LinearPMap.fst_apply
+-/
 
+#print LinearPMap.snd /-
 /-- Projection to the second coordinate as a `linear_pmap` -/
 protected def snd (p : Submodule R E) (p' : Submodule R F) : E × F →ₗ.[R] F
     where
   domain := p.Prod p'
   toFun := (LinearMap.snd R E F).comp (p.Prod p').Subtype
 #align linear_pmap.snd LinearPMap.snd
+-/
 
+#print LinearPMap.snd_apply /-
 @[simp]
 theorem snd_apply (p : Submodule R E) (p' : Submodule R F) (x : p.Prod p') :
     LinearPMap.snd p p' x = (x : E × F).2 :=
   rfl
 #align linear_pmap.snd_apply LinearPMap.snd_apply
+-/
 
 instance : Neg (E →ₗ.[R] F) :=
   ⟨fun f => ⟨f.domain, -f.toFun⟩⟩
 
+#print LinearPMap.neg_apply /-
 @[simp]
 theorem neg_apply (f : E →ₗ.[R] F) (x) : (-f) x = -f x :=
   rfl
 #align linear_pmap.neg_apply LinearPMap.neg_apply
+-/
 
 instance : LE (E →ₗ.[R] F) :=
   ⟨fun f g => f.domain ≤ g.domain ∧ ∀ ⦃x : f.domain⦄ ⦃y : g.domain⦄ (h : (x : E) = y), f x = g y⟩
 
+#print LinearPMap.apply_comp_ofLe /-
 theorem apply_comp_ofLe {T S : E →ₗ.[R] F} (h : T ≤ S) (x : T.domain) :
     T x = S (Submodule.ofLe h.1 x) :=
   h.2 rfl
 #align linear_pmap.apply_comp_of_le LinearPMap.apply_comp_ofLe
+-/
 
+#print LinearPMap.exists_of_le /-
 theorem exists_of_le {T S : E →ₗ.[R] F} (h : T ≤ S) (x : T.domain) :
     ∃ y : S.domain, (x : E) = y ∧ T x = S y :=
   ⟨⟨x.1, h.1 x.2⟩, ⟨rfl, h.2 rfl⟩⟩
 #align linear_pmap.exists_of_le LinearPMap.exists_of_le
+-/
 
+#print LinearPMap.eq_of_le_of_domain_eq /-
 theorem eq_of_le_of_domain_eq {f g : E →ₗ.[R] F} (hle : f ≤ g) (heq : f.domain = g.domain) :
     f = g :=
   ext HEq hle.2
 #align linear_pmap.eq_of_le_of_domain_eq LinearPMap.eq_of_le_of_domain_eq
+-/
 
 #print LinearPMap.eqLocus /-
 /-- Given two partial linear maps `f`, `g`, the set of points `x` such that
@@ -281,14 +328,18 @@ instance : OrderBot (E →ₗ.[R] F) where
       have hy : y = 0 := Subtype.eq (h.symm.trans (congr_arg _ hx))
       rw [hx, hy, map_zero, map_zero]⟩
 
+#print LinearPMap.le_of_eqLocus_ge /-
 theorem le_of_eqLocus_ge {f g : E →ₗ.[R] F} (H : f.domain ≤ f.eqLocus g) : f ≤ g :=
   suffices f ≤ f ⊓ g from le_trans this inf_le_right
   ⟨H, fun x y hxy => ((inf_le_left : f ⊓ g ≤ f).2 hxy.symm).symm⟩
 #align linear_pmap.le_of_eq_locus_ge LinearPMap.le_of_eqLocus_ge
+-/
 
+#print LinearPMap.domain_mono /-
 theorem domain_mono : StrictMono (@domain R _ E _ _ F _ _) := fun f g hlt =>
   lt_of_le_of_ne hlt.1.1 fun heq => ne_of_lt hlt <| eq_of_le_of_domain_eq (le_of_lt hlt) HEq
 #align linear_pmap.domain_mono LinearPMap.domain_mono
+-/
 
 private theorem sup_aux (f g : E →ₗ.[R] F)
     (h : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y) :
@@ -320,6 +371,7 @@ private theorem sup_aux (f g : E →ₗ.[R] F)
     apply fg_eq
     simp only [coe_smul, coe_mk, ← smul_add, hxy, RingHom.id_apply]
 
+#print LinearPMap.sup /-
 /-- Given two partial linear maps that agree on the intersection of their domains,
 `f.sup g h` is the unique partial linear map on `f.domain ⊔ g.domain` that agrees
 with `f` and `g`. -/
@@ -327,19 +379,25 @@ protected noncomputable def sup (f g : E →ₗ.[R] F)
     (h : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y) : E →ₗ.[R] F :=
   ⟨_, Classical.choose (sup_aux f g h)⟩
 #align linear_pmap.sup LinearPMap.sup
+-/
 
+#print LinearPMap.domain_sup /-
 @[simp]
 theorem domain_sup (f g : E →ₗ.[R] F)
     (h : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y) :
     (f.sup g h).domain = f.domain ⊔ g.domain :=
   rfl
 #align linear_pmap.domain_sup LinearPMap.domain_sup
+-/
 
+#print LinearPMap.sup_apply /-
 theorem sup_apply {f g : E →ₗ.[R] F} (H : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y)
     (x y z) (hz : (↑x : E) + ↑y = ↑z) : f.sup g H z = f x + g y :=
   Classical.choose_spec (sup_aux f g H) x y z hz
 #align linear_pmap.sup_apply LinearPMap.sup_apply
+-/
 
+#print LinearPMap.left_le_sup /-
 protected theorem left_le_sup (f g : E →ₗ.[R] F)
     (h : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y) : f ≤ f.sup g h :=
   by
@@ -348,7 +406,9 @@ protected theorem left_le_sup (f g : E →ₗ.[R] F)
   refine' (sup_apply h _ _ _ _).symm
   simpa
 #align linear_pmap.left_le_sup LinearPMap.left_le_sup
+-/
 
+#print LinearPMap.right_le_sup /-
 protected theorem right_le_sup (f g : E →ₗ.[R] F)
     (h : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y) : g ≤ f.sup g h :=
   by
@@ -357,7 +417,9 @@ protected theorem right_le_sup (f g : E →ₗ.[R] F)
   refine' (sup_apply h _ _ _ _).symm
   simpa
 #align linear_pmap.right_le_sup LinearPMap.right_le_sup
+-/
 
+#print LinearPMap.sup_le /-
 protected theorem sup_le {f g h : E →ₗ.[R] F}
     (H : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y) (fh : f ≤ h) (gh : g ≤ h) :
     f.sup g H ≤ h :=
@@ -365,7 +427,9 @@ protected theorem sup_le {f g h : E →ₗ.[R] F}
   have Hg : g ≤ f.sup g H ⊓ h := le_inf (f.right_le_sup g H) gh
   le_of_eqLocus_ge <| sup_le Hf.1 Hg.1
 #align linear_pmap.sup_le LinearPMap.sup_le
+-/
 
+#print LinearPMap.sup_h_of_disjoint /-
 /-- Hypothesis for `linear_pmap.sup` holds, if `f.domain` is disjoint with `g.domain`. -/
 theorem sup_h_of_disjoint (f g : E →ₗ.[R] F) (h : Disjoint f.domain g.domain) (x : f.domain)
     (y : g.domain) (hxy : (x : E) = y) : f x = g y :=
@@ -375,6 +439,7 @@ theorem sup_h_of_disjoint (f g : E →ₗ.[R] F) (h : Disjoint f.domain g.domain
   have hx : x = 0 := Subtype.eq (hxy.trans <| congr_arg _ hy)
   simp [*]
 #align linear_pmap.sup_h_of_disjoint LinearPMap.sup_h_of_disjoint
+-/
 
 section Smul
 
@@ -387,19 +452,25 @@ instance : SMul M (E →ₗ.[R] F) :=
     { domain := f.domain
       toFun := a • f.toFun }⟩
 
+#print LinearPMap.smul_domain /-
 @[simp]
 theorem smul_domain (a : M) (f : E →ₗ.[R] F) : (a • f).domain = f.domain :=
   rfl
 #align linear_pmap.smul_domain LinearPMap.smul_domain
+-/
 
+#print LinearPMap.smul_apply /-
 theorem smul_apply (a : M) (f : E →ₗ.[R] F) (x : (a • f).domain) : (a • f) x = a • f x :=
   rfl
 #align linear_pmap.smul_apply LinearPMap.smul_apply
+-/
 
+#print LinearPMap.coe_smul /-
 @[simp]
 theorem coe_smul (a : M) (f : E →ₗ.[R] F) : ⇑(a • f) = a • f :=
   rfl
 #align linear_pmap.coe_smul LinearPMap.coe_smul
+-/
 
 instance [SMulCommClass M N F] : SMulCommClass M N (E →ₗ.[R] F) :=
   ⟨fun a b f => ext' <| smul_comm a b f.toFun⟩
@@ -421,20 +492,26 @@ instance : VAdd (E →ₗ[R] F) (E →ₗ.[R] F) :=
     { domain := g.domain
       toFun := f.comp g.domain.Subtype + g.toFun }⟩
 
+#print LinearPMap.vadd_domain /-
 @[simp]
 theorem vadd_domain (f : E →ₗ[R] F) (g : E →ₗ.[R] F) : (f +ᵥ g).domain = g.domain :=
   rfl
 #align linear_pmap.vadd_domain LinearPMap.vadd_domain
+-/
 
+#print LinearPMap.vadd_apply /-
 theorem vadd_apply (f : E →ₗ[R] F) (g : E →ₗ.[R] F) (x : (f +ᵥ g).domain) :
     (f +ᵥ g) x = f x + g x :=
   rfl
 #align linear_pmap.vadd_apply LinearPMap.vadd_apply
+-/
 
+#print LinearPMap.coe_vadd /-
 @[simp]
 theorem coe_vadd (f : E →ₗ[R] F) (g : E →ₗ.[R] F) : ⇑(f +ᵥ g) = f.comp g.domain.Subtype + g :=
   rfl
 #align linear_pmap.coe_vadd LinearPMap.coe_vadd
+-/
 
 instance : AddAction (E →ₗ[R] F) (E →ₗ.[R] F)
     where
@@ -457,12 +534,15 @@ noncomputable def supSpanSingleton (f : E →ₗ.[K] F) (x : E) (y : F) (hx : x
 #align linear_pmap.sup_span_singleton LinearPMap.supSpanSingleton
 -/
 
+#print LinearPMap.domain_supSpanSingleton /-
 @[simp]
 theorem domain_supSpanSingleton (f : E →ₗ.[K] F) (x : E) (y : F) (hx : x ∉ f.domain) :
     (f.supSpanSingleton x y hx).domain = f.domain ⊔ K ∙ x :=
   rfl
 #align linear_pmap.domain_sup_span_singleton LinearPMap.domain_supSpanSingleton
+-/
 
+#print LinearPMap.supSpanSingleton_apply_mk /-
 @[simp]
 theorem supSpanSingleton_apply_mk (f : E →ₗ.[K] F) (x : E) (y : F) (hx : x ∉ f.domain) (x' : E)
     (hx' : x' ∈ f.domain) (c : K) :
@@ -474,6 +554,7 @@ theorem supSpanSingleton_apply_mk (f : E →ₗ.[K] F) (x : E) (y : F) (hx : x 
   rfl
   exact mem_span_singleton.2 ⟨c, rfl⟩
 #align linear_pmap.sup_span_singleton_apply_mk LinearPMap.supSpanSingleton_apply_mk
+-/
 
 end
 
@@ -534,6 +615,7 @@ protected theorem sSup_le {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·
 #align linear_pmap.Sup_le LinearPMap.sSup_le
 -/
 
+#print LinearPMap.sSup_apply /-
 protected theorem sSup_apply {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {l : E →ₗ.[R] F}
     (hl : l ∈ c) (x : l.domain) :
     (LinearPMap.sSup c hc) ⟨x, (LinearPMap.le_sSup hc hl).1 x.2⟩ = l x :=
@@ -542,6 +624,7 @@ protected theorem sSup_apply {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤
   apply (Classical.choose_spec (Sup_aux c hc) hl).2
   rfl
 #align linear_pmap.Sup_apply LinearPMap.sSup_apply
+-/
 
 end LinearPMap
 
@@ -554,10 +637,12 @@ def toPMap (f : E →ₗ[R] F) (p : Submodule R E) : E →ₗ.[R] F :=
 #align linear_map.to_pmap LinearMap.toPMap
 -/
 
+#print LinearMap.toPMap_apply /-
 @[simp]
 theorem toPMap_apply (f : E →ₗ[R] F) (p : Submodule R E) (x : p) : f.toPMap p x = f x :=
   rfl
 #align linear_map.to_pmap_apply LinearMap.toPMap_apply
+-/
 
 #print LinearMap.compPMap /-
 /-- Compose a linear map with a `linear_pmap` -/
@@ -568,27 +653,34 @@ def compPMap (g : F →ₗ[R] G) (f : E →ₗ.[R] F) : E →ₗ.[R] G
 #align linear_map.comp_pmap LinearMap.compPMap
 -/
 
+#print LinearMap.compPMap_apply /-
 @[simp]
 theorem compPMap_apply (g : F →ₗ[R] G) (f : E →ₗ.[R] F) (x) : g.compPMap f x = g (f x) :=
   rfl
 #align linear_map.comp_pmap_apply LinearMap.compPMap_apply
+-/
 
 end LinearMap
 
 namespace LinearPMap
 
+#print LinearPMap.codRestrict /-
 /-- Restrict codomain of a `linear_pmap` -/
 def codRestrict (f : E →ₗ.[R] F) (p : Submodule R F) (H : ∀ x, f x ∈ p) : E →ₗ.[R] p
     where
   domain := f.domain
   toFun := f.toFun.codRestrict p H
 #align linear_pmap.cod_restrict LinearPMap.codRestrict
+-/
 
+#print LinearPMap.comp /-
 /-- Compose two `linear_pmap`s -/
 def comp (g : F →ₗ.[R] G) (f : E →ₗ.[R] F) (H : ∀ x : f.domain, f x ∈ g.domain) : E →ₗ.[R] G :=
   g.toFun.compPMap <| f.codRestrict _ H
 #align linear_pmap.comp LinearPMap.comp
+-/
 
+#print LinearPMap.coprod /-
 /-- `f.coprod g` is the partially defined linear map defined on `f.domain × g.domain`,
 and sending `p` to `f p.1 + g p.2`. -/
 def coprod (f : E →ₗ.[R] G) (g : F →ₗ.[R] G) : E × F →ₗ.[R] G
@@ -598,12 +690,15 @@ def coprod (f : E →ₗ.[R] G) (g : F →ₗ.[R] G) : E × F →ₗ.[R] G
     (f.comp (LinearPMap.fst f.domain g.domain) fun x => x.2.1).toFun +
       (g.comp (LinearPMap.snd f.domain g.domain) fun x => x.2.2).toFun
 #align linear_pmap.coprod LinearPMap.coprod
+-/
 
+#print LinearPMap.coprod_apply /-
 @[simp]
 theorem coprod_apply (f : E →ₗ.[R] G) (g : F →ₗ.[R] G) (x) :
     f.coprod g x = f ⟨(x : E × F).1, x.2.1⟩ + g ⟨(x : E × F).2, x.2.2⟩ :=
   rfl
 #align linear_pmap.coprod_apply LinearPMap.coprod_apply
+-/
 
 #print LinearPMap.domRestrict /-
 /-- Restrict a partially defined linear map to a submodule of `E` contained in `f.domain`. -/
@@ -612,12 +707,15 @@ def domRestrict (f : E →ₗ.[R] F) (S : Submodule R E) : E →ₗ.[R] F :=
 #align linear_pmap.dom_restrict LinearPMap.domRestrict
 -/
 
+#print LinearPMap.domRestrict_domain /-
 @[simp]
 theorem domRestrict_domain (f : E →ₗ.[R] F) {S : Submodule R E} :
     (f.domRestrict S).domain = S ⊓ f.domain :=
   rfl
 #align linear_pmap.dom_restrict_domain LinearPMap.domRestrict_domain
+-/
 
+#print LinearPMap.domRestrict_apply /-
 theorem domRestrict_apply {f : E →ₗ.[R] F} {S : Submodule R E} ⦃x : S ⊓ f.domain⦄ ⦃y : f.domain⦄
     (h : (x : E) = y) : f.domRestrict S x = f y :=
   by
@@ -625,37 +723,49 @@ theorem domRestrict_apply {f : E →ₗ.[R] F} {S : Submodule R E} ⦃x : S ⊓
   rw [← this]
   exact LinearPMap.mk_apply _ _ _
 #align linear_pmap.dom_restrict_apply LinearPMap.domRestrict_apply
+-/
 
+#print LinearPMap.domRestrict_le /-
 theorem domRestrict_le {f : E →ₗ.[R] F} {S : Submodule R E} : f.domRestrict S ≤ f :=
   ⟨by simp, fun x y hxy => domRestrict_apply hxy⟩
 #align linear_pmap.dom_restrict_le LinearPMap.domRestrict_le
+-/
 
 /-! ### Graph -/
 
 
 section Graph
 
+#print LinearPMap.graph /-
 /-- The graph of a `linear_pmap` viewed as a submodule on `E × F`. -/
 def graph (f : E →ₗ.[R] F) : Submodule R (E × F) :=
   f.toFun.graph.map (f.domain.Subtype.Prod_map (LinearMap.id : F →ₗ[R] F))
 #align linear_pmap.graph LinearPMap.graph
+-/
 
+#print LinearPMap.mem_graph_iff' /-
 theorem mem_graph_iff' (f : E →ₗ.[R] F) {x : E × F} : x ∈ f.graph ↔ ∃ y : f.domain, (↑y, f y) = x :=
   by simp [graph]
 #align linear_pmap.mem_graph_iff' LinearPMap.mem_graph_iff'
+-/
 
+#print LinearPMap.mem_graph_iff /-
 @[simp]
 theorem mem_graph_iff (f : E →ₗ.[R] F) {x : E × F} :
     x ∈ f.graph ↔ ∃ y : f.domain, (↑y : E) = x.1 ∧ f y = x.2 := by cases x;
   simp_rw [mem_graph_iff', Prod.mk.inj_iff]
 #align linear_pmap.mem_graph_iff LinearPMap.mem_graph_iff
+-/
 
+#print LinearPMap.mem_graph /-
 /-- The tuple `(x, f x)` is contained in the graph of `f`. -/
 theorem mem_graph (f : E →ₗ.[R] F) (x : domain f) : ((x : E), f x) ∈ f.graph := by simp
 #align linear_pmap.mem_graph LinearPMap.mem_graph
+-/
 
 variable {M : Type _} [Monoid M] [DistribMulAction M F] [SMulCommClass R M F] (y : M)
 
+#print LinearPMap.smul_graph /-
 /-- The graph of `z • f` as a pushforward. -/
 theorem smul_graph (f : E →ₗ.[R] F) (z : M) :
     (z • f).graph =
@@ -682,7 +792,9 @@ theorem smul_graph (f : E →ₗ.[R] F) (z : M) :
   rw [← h.1, ← h.2]
   simp [hy, hx']
 #align linear_pmap.smul_graph LinearPMap.smul_graph
+-/
 
+#print LinearPMap.neg_graph /-
 /-- The graph of `-f` as a pushforward. -/
 theorem neg_graph (f : E →ₗ.[R] F) :
     (-f).graph = f.graph.map ((LinearMap.id : E →ₗ[R] E).Prod_map (-(LinearMap.id : F →ₗ[R] F))) :=
@@ -708,7 +820,9 @@ theorem neg_graph (f : E →ₗ.[R] F) :
   rw [← h.1, ← h.2]
   simp [hy, hx']
 #align linear_pmap.neg_graph LinearPMap.neg_graph
+-/
 
+#print LinearPMap.mem_graph_snd_inj /-
 theorem mem_graph_snd_inj (f : E →ₗ.[R] F) {x y : E} {x' y' : F} (hx : (x, x') ∈ f.graph)
     (hy : (y, y') ∈ f.graph) (hxy : x = y) : x' = y' :=
   by
@@ -719,17 +833,23 @@ theorem mem_graph_snd_inj (f : E →ₗ.[R] F) {x y : E} {x' y' : F} (hx : (x, x
   rw [← hx1, ← hy1, SetLike.coe_eq_coe] at hxy 
   rw [← hx2, ← hy2, hxy]
 #align linear_pmap.mem_graph_snd_inj LinearPMap.mem_graph_snd_inj
+-/
 
+#print LinearPMap.mem_graph_snd_inj' /-
 theorem mem_graph_snd_inj' (f : E →ₗ.[R] F) {x y : E × F} (hx : x ∈ f.graph) (hy : y ∈ f.graph)
     (hxy : x.1 = y.1) : x.2 = y.2 := by cases x; cases y; exact f.mem_graph_snd_inj hx hy hxy
 #align linear_pmap.mem_graph_snd_inj' LinearPMap.mem_graph_snd_inj'
+-/
 
+#print LinearPMap.graph_fst_eq_zero_snd /-
 /-- The property that `f 0 = 0` in terms of the graph. -/
 theorem graph_fst_eq_zero_snd (f : E →ₗ.[R] F) {x : E} {x' : F} (h : (x, x') ∈ f.graph)
     (hx : x = 0) : x' = 0 :=
   f.mem_graph_snd_inj h f.graph.zero_mem hx
 #align linear_pmap.graph_fst_eq_zero_snd LinearPMap.graph_fst_eq_zero_snd
+-/
 
+#print LinearPMap.mem_domain_iff /-
 theorem mem_domain_iff {f : E →ₗ.[R] F} {x : E} : x ∈ f.domain ↔ ∃ y : F, (x, y) ∈ f.graph :=
   by
   constructor <;> intro h
@@ -742,11 +862,15 @@ theorem mem_domain_iff {f : E →ₗ.[R] F} {x : E} : x ∈ f.domain ↔ ∃ y :
   rw [← h.1]
   simp
 #align linear_pmap.mem_domain_iff LinearPMap.mem_domain_iff
+-/
 
+#print LinearPMap.mem_domain_of_mem_graph /-
 theorem mem_domain_of_mem_graph {f : E →ₗ.[R] F} {x : E} {y : F} (h : (x, y) ∈ f.graph) :
     x ∈ f.domain := by rw [mem_domain_iff]; exact ⟨y, h⟩
 #align linear_pmap.mem_domain_of_mem_graph LinearPMap.mem_domain_of_mem_graph
+-/
 
+#print LinearPMap.image_iff /-
 theorem image_iff {f : E →ₗ.[R] F} {x : E} {y : F} (hx : x ∈ f.domain) :
     y = f ⟨x, hx⟩ ↔ (x, y) ∈ f.graph := by
   rw [mem_graph_iff]
@@ -757,7 +881,9 @@ theorem image_iff {f : E →ₗ.[R] F} {x : E} {y : F} (hx : x ∈ f.domain) :
   simp only [Submodule.coe_mk] at h1 h2 
   simp only [← h2, h1]
 #align linear_pmap.image_iff LinearPMap.image_iff
+-/
 
+#print LinearPMap.mem_range_iff /-
 theorem mem_range_iff {f : E →ₗ.[R] F} {y : F} : y ∈ Set.range f ↔ ∃ x : E, (x, y) ∈ f.graph :=
   by
   constructor <;> intro h
@@ -774,11 +900,15 @@ theorem mem_range_iff {f : E →ₗ.[R] F} {y : F} : y ∈ Set.range f ↔ ∃ x
   simp only at h 
   rw [h.2]
 #align linear_pmap.mem_range_iff LinearPMap.mem_range_iff
+-/
 
+#print LinearPMap.mem_domain_iff_of_eq_graph /-
 theorem mem_domain_iff_of_eq_graph {f g : E →ₗ.[R] F} (h : f.graph = g.graph) {x : E} :
     x ∈ f.domain ↔ x ∈ g.domain := by simp_rw [mem_domain_iff, h]
 #align linear_pmap.mem_domain_iff_of_eq_graph LinearPMap.mem_domain_iff_of_eq_graph
+-/
 
+#print LinearPMap.le_of_le_graph /-
 theorem le_of_le_graph {f g : E →ₗ.[R] F} (h : f.graph ≤ g.graph) : f ≤ g :=
   by
   constructor
@@ -795,7 +925,9 @@ theorem le_of_le_graph {f g : E →ₗ.[R] F} (h : f.graph ≤ g.graph) : f ≤
   rw [← image_iff hx]
   simp [hxy]
 #align linear_pmap.le_of_le_graph LinearPMap.le_of_le_graph
+-/
 
+#print LinearPMap.le_graph_of_le /-
 theorem le_graph_of_le {f g : E →ₗ.[R] F} (h : f ≤ g) : f.graph ≤ g.graph :=
   by
   intro x hx
@@ -808,14 +940,19 @@ theorem le_graph_of_le {f g : E →ₗ.[R] F} (h : f ≤ g) : f.graph ≤ g.grap
   refine' (h.2 _).symm
   simp only [hx.1, Submodule.coe_mk]
 #align linear_pmap.le_graph_of_le LinearPMap.le_graph_of_le
+-/
 
+#print LinearPMap.le_graph_iff /-
 theorem le_graph_iff {f g : E →ₗ.[R] F} : f.graph ≤ g.graph ↔ f ≤ g :=
   ⟨le_of_le_graph, le_graph_of_le⟩
 #align linear_pmap.le_graph_iff LinearPMap.le_graph_iff
+-/
 
+#print LinearPMap.eq_of_eq_graph /-
 theorem eq_of_eq_graph {f g : E →ₗ.[R] F} (h : f.graph = g.graph) : f = g := by ext;
   exact mem_domain_iff_of_eq_graph h; exact (le_of_le_graph h.le).2
 #align linear_pmap.eq_of_eq_graph LinearPMap.eq_of_eq_graph
+-/
 
 end Graph
 
@@ -825,6 +962,7 @@ namespace Submodule
 
 section SubmoduleToLinearPmap
 
+#print Submodule.existsUnique_from_graph /-
 theorem existsUnique_from_graph {g : Submodule R (E × F)}
     (hg : ∀ {x : E × F} (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0) {a : E}
     (ha : a ∈ g.map (LinearMap.fst R E F)) : ∃! b : F, (a, b) ∈ g :=
@@ -837,20 +975,26 @@ theorem existsUnique_from_graph {g : Submodule R (E × F)}
     exact (sub_self _).symm
   exact sub_eq_zero.mp (hg hy (by simp))
 #align submodule.exists_unique_from_graph Submodule.existsUnique_from_graph
+-/
 
+#print Submodule.valFromGraph /-
 /-- Auxiliary definition to unfold the existential quantifier. -/
 noncomputable def valFromGraph {g : Submodule R (E × F)}
     (hg : ∀ (x : E × F) (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0) {a : E}
     (ha : a ∈ g.map (LinearMap.fst R E F)) : F :=
   (ExistsUnique.exists (existsUnique_from_graph hg ha)).some
 #align submodule.val_from_graph Submodule.valFromGraph
+-/
 
+#print Submodule.valFromGraph_mem /-
 theorem valFromGraph_mem {g : Submodule R (E × F)}
     (hg : ∀ (x : E × F) (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0) {a : E}
     (ha : a ∈ g.map (LinearMap.fst R E F)) : (a, valFromGraph hg ha) ∈ g :=
   (ExistsUnique.exists (existsUnique_from_graph hg ha)).choose_spec
 #align submodule.val_from_graph_mem Submodule.valFromGraph_mem
+-/
 
+#print Submodule.toLinearPMap /-
 /-- Define a `linear_pmap` from its graph. -/
 noncomputable def toLinearPMap (g : Submodule R (E × F))
     (hg : ∀ (x : E × F) (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0) : E →ₗ.[R] F
@@ -873,13 +1017,17 @@ noncomputable def toLinearPMap (g : Submodule R (E × F))
         rw [Prod.smul_mk] at hav' 
         exact (exists_unique_from_graph hg hsmul).unique hav hav' }
 #align submodule.to_linear_pmap Submodule.toLinearPMap
+-/
 
+#print Submodule.mem_graph_toLinearPMap /-
 theorem mem_graph_toLinearPMap (g : Submodule R (E × F))
     (hg : ∀ (x : E × F) (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0)
     (x : g.map (LinearMap.fst R E F)) : (x.val, g.toLinearPMap hg x) ∈ g :=
   valFromGraph_mem hg x.2
 #align submodule.mem_graph_to_linear_pmap Submodule.mem_graph_toLinearPMap
+-/
 
+#print Submodule.toLinearPMap_graph_eq /-
 @[simp]
 theorem toLinearPMap_graph_eq (g : Submodule R (E × F))
     (hg : ∀ (x : E × F) (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0) :
@@ -900,6 +1048,7 @@ theorem toLinearPMap_graph_eq (g : Submodule R (E × F))
   refine' ⟨⟨x_fst, hx_fst⟩, Subtype.coe_mk x_fst hx_fst, _⟩
   exact (exists_unique_from_graph hg hx_fst).unique (val_from_graph_mem hg hx_fst) hx
 #align submodule.to_linear_pmap_graph_eq Submodule.toLinearPMap_graph_eq
+-/
 
 end SubmoduleToLinearPmap

bump to nightly-2023-06-04-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/5f25c089cb34db4db112556f23c50d12da81b297

3fb4268b

Diff

@@ -237,7 +237,7 @@ theorem eq_of_le_of_domain_eq {f g : E →ₗ.[R] F} (hle : f ≤ g) (heq : f.do
 both `f` and `g` are defined at `x` and `f x = g x` form a submodule. -/
 def eqLocus (f g : E →ₗ.[R] F) : Submodule R E
     where
-  carrier := { x | ∃ (hf : x ∈ f.domain) (hg : x ∈ g.domain), f ⟨x, hf⟩ = g ⟨x, hg⟩ }
+  carrier := {x | ∃ (hf : x ∈ f.domain) (hg : x ∈ g.domain), f ⟨x, hf⟩ = g ⟨x, hg⟩}
   zero_mem' := ⟨zero_mem _, zero_mem _, f.map_zero.trans g.map_zero.symm⟩
   add_mem' := fun x y ⟨hfx, hgx, hx⟩ ⟨hfy, hgy, hy⟩ =>
     ⟨add_mem hfx hfy, add_mem hgx hgy, by

bump to nightly-2023-06-01-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb

b9c87c70

Diff

@@ -45,7 +45,7 @@ universe u v w
 #print LinearPMap /-
 /-- A `linear_pmap R E F` or `E →ₗ.[R] F` is a linear map from a submodule of `E` to `F`. -/
 structure LinearPMap (R : Type u) [Ring R] (E : Type v) [AddCommGroup E] [Module R E] (F : Type w)
-  [AddCommGroup F] [Module R F] where
+    [AddCommGroup F] [Module R F] where
   domain : Submodule R E
   toFun : domain →ₗ[R] F
 #align linear_pmap LinearPMap
@@ -89,7 +89,7 @@ theorem ext_iff {f g : E →ₗ.[R] F} :
     f = g ↔
       ∃ domain_eq : f.domain = g.domain,
         ∀ ⦃x : f.domain⦄ ⦃y : g.domain⦄ (h : (x : E) = y), f x = g y :=
-  ⟨fun EQ => EQ ▸ ⟨rfl, fun x y h => by congr ; exact_mod_cast h⟩, fun ⟨deq, feq⟩ => ext deq feq⟩
+  ⟨fun EQ => EQ ▸ ⟨rfl, fun x y h => by congr; exact_mod_cast h⟩, fun ⟨deq, feq⟩ => ext deq feq⟩
 #align linear_pmap.ext_iff LinearPMap.ext_iff
 
 theorem ext' {s : Submodule R E} {f g : s →ₗ[R] F} (h : f = g) : mk s f = mk s g :=
@@ -126,7 +126,7 @@ noncomputable def mkSpanSingleton' (x : E) (y : F) (H : ∀ c : R, c • x = 0 
     have H : ∀ c₁ c₂ : R, c₁ • x = c₂ • x → c₁ • y = c₂ • y :=
       by
       intro c₁ c₂ h
-      rw [← sub_eq_zero, ← sub_smul] at h⊢
+      rw [← sub_eq_zero, ← sub_smul] at h ⊢
       exact H _ h
     { toFun := fun z => Classical.choose (mem_span_singleton.1 z.Prop) • y
       map_add' := fun y z => by
@@ -237,7 +237,7 @@ theorem eq_of_le_of_domain_eq {f g : E →ₗ.[R] F} (hle : f ≤ g) (heq : f.do
 both `f` and `g` are defined at `x` and `f x = g x` form a submodule. -/
 def eqLocus (f g : E →ₗ.[R] F) : Submodule R E
     where
-  carrier := { x | ∃ (hf : x ∈ f.domain)(hg : x ∈ g.domain), f ⟨x, hf⟩ = g ⟨x, hg⟩ }
+  carrier := { x | ∃ (hf : x ∈ f.domain) (hg : x ∈ g.domain), f ⟨x, hf⟩ = g ⟨x, hg⟩ }
   zero_mem' := ⟨zero_mem _, zero_mem _, f.map_zero.trans g.map_zero.symm⟩
   add_mem' := fun x y ⟨hfx, hgx, hx⟩ ⟨hfy, hgy, hy⟩ =>
     ⟨add_mem hfx hfy, add_mem hgx hgy, by
@@ -267,7 +267,7 @@ instance : SemilatticeInf (E →ₗ.[R] F) where
   inf := (· ⊓ ·)
   le_inf := fun f g h ⟨fg_le, fg_eq⟩ ⟨fh_le, fh_eq⟩ =>
     ⟨fun x hx =>
-      ⟨fg_le hx, fh_le hx, by refine' (fg_eq _).symm.trans (fh_eq _) <;> [exact ⟨x, hx⟩;rfl;rfl]⟩,
+      ⟨fg_le hx, fh_le hx, by refine' (fg_eq _).symm.trans (fh_eq _) <;> [exact ⟨x, hx⟩; rfl; rfl]⟩,
       fun x ⟨y, yg, hy⟩ h => by apply fg_eq; exact h⟩
   inf_le_left f g := ⟨fun x hx => hx.fst, fun x y h => congr_arg f <| Subtype.eq <| h⟩
   inf_le_right f g :=
@@ -305,11 +305,11 @@ private theorem sup_aux (f g : E →ₗ.[R] F)
     dsimp [fg]
     rw [add_comm, ← sub_eq_sub_iff_add_eq_add, eq_comm, ← map_sub, ← map_sub]
     apply h
-    simp only [← eq_sub_iff_add_eq] at hxy
+    simp only [← eq_sub_iff_add_eq] at hxy 
     simp only [AddSubgroupClass.coe_sub, coe_mk, coe_mk, hxy, ← sub_add, ← sub_sub, sub_self,
       zero_sub, ← H]
     apply neg_add_eq_sub
-  refine' ⟨{ toFun := fg.. }, fg_eq⟩
+  refine' ⟨{ toFun := fg .. }, fg_eq⟩
   · rintro ⟨z₁, hz₁⟩ ⟨z₂, hz₂⟩
     rw [← add_assoc, add_right_comm (f _), ← map_add, add_assoc, ← map_add]
     apply fg_eq
@@ -370,7 +370,7 @@ protected theorem sup_le {f g h : E →ₗ.[R] F}
 theorem sup_h_of_disjoint (f g : E →ₗ.[R] F) (h : Disjoint f.domain g.domain) (x : f.domain)
     (y : g.domain) (hxy : (x : E) = y) : f x = g y :=
   by
-  rw [disjoint_def] at h
+  rw [disjoint_def] at h 
   have hy : y = 0 := Subtype.eq (h y (hxy ▸ x.2) y.2)
   have hx : x = 0 := Subtype.eq (hxy.trans <| congr_arg _ hy)
   simp [*]
@@ -487,15 +487,15 @@ private theorem Sup_aux (c : Set (E →ₗ.[R] F)) (hc : DirectedOn (· ≤ ·)
     rintro x
     apply Classical.indefiniteDescription
     have := (mem_Sup_of_directed (cne.image _) hdir).1 x.2
-    rwa [bex_image_iff, SetCoe.exists'] at this
+    rwa [bex_image_iff, SetCoe.exists'] at this 
   set f : Sup (domain '' c) → F := fun x => (P x).val.val ⟨x, (P x).property⟩
   have f_eq : ∀ (p : c) (x : Sup (domain '' c)) (y : p.1.1) (hxy : (x : E) = y), f x = p.1 y :=
     by
     intro p x y hxy
     rcases hc (P x).1.1 (P x).1.2 p.1 p.2 with ⟨q, hqc, hxq, hpq⟩
     refine' (hxq.2 _).trans (hpq.2 _).symm
-    exacts[of_le hpq.1 y, hxy, rfl]
-  refine' ⟨{ toFun := f.. }, _⟩
+    exacts [of_le hpq.1 y, hxy, rfl]
+  refine' ⟨{ toFun := f .. }, _⟩
   · intro x y
     rcases hc (P x).1.1 (P x).1.2 (P y).1.1 (P y).1.2 with ⟨p, hpc, hpx, hpy⟩
     set x' := of_le hpx.1 ⟨x, (P x).2⟩
@@ -663,20 +663,20 @@ theorem smul_graph (f : E →ₗ.[R] F) (z : M) :
   by
   ext x; cases x
   constructor <;> intro h
-  · rw [mem_graph_iff] at h
+  · rw [mem_graph_iff] at h 
     rcases h with ⟨y, hy, h⟩
-    rw [LinearPMap.smul_apply] at h
+    rw [LinearPMap.smul_apply] at h 
     rw [Submodule.mem_map]
     simp only [mem_graph_iff, LinearMap.prodMap_apply, LinearMap.id_coe, id.def,
       LinearMap.smul_apply, Prod.mk.inj_iff, Prod.exists, exists_exists_and_eq_and]
     use x_fst, y
     simp [hy, h]
-  rw [Submodule.mem_map] at h
+  rw [Submodule.mem_map] at h 
   rcases h with ⟨x', hx', h⟩
   cases x'
   simp only [LinearMap.prodMap_apply, LinearMap.id_coe, id.def, LinearMap.smul_apply,
-    Prod.mk.inj_iff] at h
-  rw [mem_graph_iff] at hx'⊢
+    Prod.mk.inj_iff] at h 
+  rw [mem_graph_iff] at hx' ⊢
   rcases hx' with ⟨y, hy, hx'⟩
   use y
   rw [← h.1, ← h.2]
@@ -689,20 +689,20 @@ theorem neg_graph (f : E →ₗ.[R] F) :
   by
   ext; cases x
   constructor <;> intro h
-  · rw [mem_graph_iff] at h
+  · rw [mem_graph_iff] at h 
     rcases h with ⟨y, hy, h⟩
-    rw [LinearPMap.neg_apply] at h
+    rw [LinearPMap.neg_apply] at h 
     rw [Submodule.mem_map]
     simp only [mem_graph_iff, LinearMap.prodMap_apply, LinearMap.id_coe, id.def,
       LinearMap.neg_apply, Prod.mk.inj_iff, Prod.exists, exists_exists_and_eq_and]
     use x_fst, y
     simp [hy, h]
-  rw [Submodule.mem_map] at h
+  rw [Submodule.mem_map] at h 
   rcases h with ⟨x', hx', h⟩
   cases x'
   simp only [LinearMap.prodMap_apply, LinearMap.id_coe, id.def, LinearMap.neg_apply,
-    Prod.mk.inj_iff] at h
-  rw [mem_graph_iff] at hx'⊢
+    Prod.mk.inj_iff] at h 
+  rw [mem_graph_iff] at hx' ⊢
   rcases hx' with ⟨y, hy, hx'⟩
   use y
   rw [← h.1, ← h.2]
@@ -712,11 +712,11 @@ theorem neg_graph (f : E →ₗ.[R] F) :
 theorem mem_graph_snd_inj (f : E →ₗ.[R] F) {x y : E} {x' y' : F} (hx : (x, x') ∈ f.graph)
     (hy : (y, y') ∈ f.graph) (hxy : x = y) : x' = y' :=
   by
-  rw [mem_graph_iff] at hx hy
+  rw [mem_graph_iff] at hx hy 
   rcases hx with ⟨x'', hx1, hx2⟩
   rcases hy with ⟨y'', hy1, hy2⟩
-  simp only at hx1 hx2 hy1 hy2
-  rw [← hx1, ← hy1, SetLike.coe_eq_coe] at hxy
+  simp only at hx1 hx2 hy1 hy2 
+  rw [← hx1, ← hy1, SetLike.coe_eq_coe] at hxy 
   rw [← hx2, ← hy2, hxy]
 #align linear_pmap.mem_graph_snd_inj LinearPMap.mem_graph_snd_inj
 
@@ -736,9 +736,9 @@ theorem mem_domain_iff {f : E →ₗ.[R] F} {x : E} : x ∈ f.domain ↔ ∃ y :
   · use f ⟨x, h⟩
     exact f.mem_graph ⟨x, h⟩
   cases' h with y h
-  rw [mem_graph_iff] at h
+  rw [mem_graph_iff] at h 
   cases' h with x' h
-  simp only at h
+  simp only at h 
   rw [← h.1]
   simp
 #align linear_pmap.mem_domain_iff LinearPMap.mem_domain_iff
@@ -754,24 +754,24 @@ theorem image_iff {f : E →ₗ.[R] F} {x : E} {y : F} (hx : x ∈ f.domain) :
   · use ⟨x, hx⟩
     simp [h]
   rcases h with ⟨⟨x', hx'⟩, ⟨h1, h2⟩⟩
-  simp only [Submodule.coe_mk] at h1 h2
+  simp only [Submodule.coe_mk] at h1 h2 
   simp only [← h2, h1]
 #align linear_pmap.image_iff LinearPMap.image_iff
 
 theorem mem_range_iff {f : E →ₗ.[R] F} {y : F} : y ∈ Set.range f ↔ ∃ x : E, (x, y) ∈ f.graph :=
   by
   constructor <;> intro h
-  · rw [Set.mem_range] at h
+  · rw [Set.mem_range] at h 
     rcases h with ⟨⟨x, hx⟩, h⟩
     use x
     rw [← h]
     exact f.mem_graph ⟨x, hx⟩
   cases' h with x h
-  rw [mem_graph_iff] at h
+  rw [mem_graph_iff] at h 
   cases' h with x h
   rw [Set.mem_range]
   use x
-  simp only at h
+  simp only at h 
   rw [h.2]
 #align linear_pmap.mem_range_iff LinearPMap.mem_range_iff
 
@@ -783,15 +783,15 @@ theorem le_of_le_graph {f g : E →ₗ.[R] F} (h : f.graph ≤ g.graph) : f ≤
   by
   constructor
   · intro x hx
-    rw [mem_domain_iff] at hx⊢
+    rw [mem_domain_iff] at hx ⊢
     cases' hx with y hx
     use y
     exact h hx
   rintro ⟨x, hx⟩ ⟨y, hy⟩ hxy
   rw [image_iff]
   refine' h _
-  simp only [Submodule.coe_mk] at hxy
-  rw [hxy] at hx
+  simp only [Submodule.coe_mk] at hxy 
+  rw [hxy] at hx 
   rw [← image_iff hx]
   simp [hxy]
 #align linear_pmap.le_of_le_graph LinearPMap.le_of_le_graph
@@ -799,7 +799,7 @@ theorem le_of_le_graph {f g : E →ₗ.[R] F} (h : f.graph ≤ g.graph) : f ≤
 theorem le_graph_of_le {f g : E →ₗ.[R] F} (h : f ≤ g) : f.graph ≤ g.graph :=
   by
   intro x hx
-  rw [mem_graph_iff] at hx⊢
+  rw [mem_graph_iff] at hx ⊢
   cases' hx with y hx
   use y
   · exact h.1 y.2
@@ -863,14 +863,14 @@ noncomputable def toLinearPMap (g : Submodule R (E × F))
         have hadd := (g.map (LinearMap.fst R E F)).add_mem v.2 w.2
         have hvw := val_from_graph_mem hg hadd
         have hvw' := g.add_mem (val_from_graph_mem hg v.2) (val_from_graph_mem hg w.2)
-        rw [Prod.mk_add_mk] at hvw'
+        rw [Prod.mk_add_mk] at hvw' 
         exact (exists_unique_from_graph hg hadd).unique hvw hvw'
       map_smul' := fun a v =>
         by
         have hsmul := (g.map (LinearMap.fst R E F)).smul_mem a v.2
         have hav := val_from_graph_mem hg hsmul
         have hav' := g.smul_mem a (val_from_graph_mem hg v.2)
-        rw [Prod.smul_mk] at hav'
+        rw [Prod.smul_mk] at hav' 
         exact (exists_unique_from_graph hg hsmul).unique hav hav' }
 #align submodule.to_linear_pmap Submodule.toLinearPMap
 
@@ -886,7 +886,7 @@ theorem toLinearPMap_graph_eq (g : Submodule R (E × F))
     (g.toLinearPMap hg).graph = g := by
   ext
   constructor <;> intro hx
-  · rw [LinearPMap.mem_graph_iff] at hx
+  · rw [LinearPMap.mem_graph_iff] at hx 
     rcases hx with ⟨y, hx1, hx2⟩
     convert g.mem_graph_to_linear_pmap hg y
     rw [Subtype.val_eq_coe]

bump to nightly-2023-05-28-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

ba5d8b97

Diff

@@ -64,17 +64,11 @@ open Submodule
 instance : CoeFun (E →ₗ.[R] F) fun f : E →ₗ.[R] F => f.domain → F :=
   ⟨fun f => f.toFun⟩
 
-/- warning: linear_pmap.to_fun_eq_coe -> LinearPMap.toFun_eq_coe is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_pmap.to_fun_eq_coe LinearPMap.toFun_eq_coeₓ'. -/
 @[simp]
 theorem toFun_eq_coe (f : E →ₗ.[R] F) (x : f.domain) : f.toFun x = f x :=
   rfl
 #align linear_pmap.to_fun_eq_coe LinearPMap.toFun_eq_coe
 
-/- warning: linear_pmap.ext -> LinearPMap.ext is a dubious translation:
-<too large>
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 @[ext]
 theorem ext {f g : E →ₗ.[R] F} (h : f.domain = g.domain)
     (h' : ∀ ⦃x : f.domain⦄ ⦃y : g.domain⦄ (h : (x : E) = y), f x = g y) : f = g :=
@@ -86,20 +80,11 @@ theorem ext {f g : E →ₗ.[R] F} (h : f.domain = g.domain)
   rfl
 #align linear_pmap.ext LinearPMap.ext
 
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 @[simp]
 theorem map_zero (f : E →ₗ.[R] F) : f 0 = 0 :=
   f.toFun.map_zero
 #align linear_pmap.map_zero LinearPMap.map_zero
 
-/- warning: linear_pmap.ext_iff -> LinearPMap.ext_iff is a dubious translation:
-<too large>
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 theorem ext_iff {f g : E →ₗ.[R] F} :
     f = g ↔
       ∃ domain_eq : f.domain = g.domain,
@@ -107,58 +92,31 @@ theorem ext_iff {f g : E →ₗ.[R] F} :
   ⟨fun EQ => EQ ▸ ⟨rfl, fun x y h => by congr ; exact_mod_cast h⟩, fun ⟨deq, feq⟩ => ext deq feq⟩
 #align linear_pmap.ext_iff LinearPMap.ext_iff
 
-/- warning: linear_pmap.ext' -> LinearPMap.ext' is a dubious translation:
-<too large>
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 theorem ext' {s : Submodule R E} {f g : s →ₗ[R] F} (h : f = g) : mk s f = mk s g :=
   h ▸ rfl
 #align linear_pmap.ext' LinearPMap.ext'
 
-/- warning: linear_pmap.map_add -> LinearPMap.map_add is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_pmap.map_add LinearPMap.map_addₓ'. -/
 theorem map_add (f : E →ₗ.[R] F) (x y : f.domain) : f (x + y) = f x + f y :=
   f.toFun.map_add x y
 #align linear_pmap.map_add LinearPMap.map_add
 
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 theorem map_neg (f : E →ₗ.[R] F) (x : f.domain) : f (-x) = -f x :=
   f.toFun.map_neg x
 #align linear_pmap.map_neg LinearPMap.map_neg
 
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 theorem map_sub (f : E →ₗ.[R] F) (x y : f.domain) : f (x - y) = f x - f y :=
   f.toFun.map_sub x y
 #align linear_pmap.map_sub LinearPMap.map_sub
 
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 theorem map_smul (f : E →ₗ.[R] F) (c : R) (x : f.domain) : f (c • x) = c • f x :=
   f.toFun.map_smul c x
 #align linear_pmap.map_smul LinearPMap.map_smul
 
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 @[simp]
 theorem mk_apply (p : Submodule R E) (f : p →ₗ[R] F) (x : p) : mk p f x = f x :=
   rfl
 #align linear_pmap.mk_apply LinearPMap.mk_apply
 
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-Case conversion may be inaccurate. Consider using '#align linear_pmap.mk_span_singleton' LinearPMap.mkSpanSingleton'ₓ'. -/
 /-- The unique `linear_pmap` on `R ∙ x` that sends `x` to `y`. This version works for modules
 over rings, and requires a proof of `∀ c, c • x = 0 → c • y = 0`. -/
 noncomputable def mkSpanSingleton' (x : E) (y : F) (H : ∀ c : R, c • x = 0 → c • y = 0) : E →ₗ.[R] F
@@ -183,21 +141,12 @@ noncomputable def mkSpanSingleton' (x : E) (y : F) (H : ∀ c : R, c • x = 0 
         apply coe_smul }
 #align linear_pmap.mk_span_singleton' LinearPMap.mkSpanSingleton'
 
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-Case conversion may be inaccurate. Consider using '#align linear_pmap.domain_mk_span_singleton LinearPMap.domain_mkSpanSingletonₓ'. -/
 @[simp]
 theorem domain_mkSpanSingleton (x : E) (y : F) (H : ∀ c : R, c • x = 0 → c • y = 0) :
     (mkSpanSingleton' x y H).domain = R ∙ x :=
   rfl
 #align linear_pmap.domain_mk_span_singleton LinearPMap.domain_mkSpanSingleton
 
-/- warning: linear_pmap.mk_span_singleton'_apply -> LinearPMap.mkSpanSingleton'_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_pmap.mk_span_singleton'_apply LinearPMap.mkSpanSingleton'_applyₓ'. -/
 @[simp]
 theorem mkSpanSingleton'_apply (x : E) (y : F) (H : ∀ c : R, c • x = 0 → c • y = 0) (c : R) (h) :
     mkSpanSingleton' x y H ⟨c • x, h⟩ = c • y :=
@@ -209,21 +158,12 @@ theorem mkSpanSingleton'_apply (x : E) (y : F) (H : ∀ c : R, c • x = 0 → c
   apply Classical.choose_spec (mem_span_singleton.1 h)
 #align linear_pmap.mk_span_singleton'_apply LinearPMap.mkSpanSingleton'_apply
 
-/- warning: linear_pmap.mk_span_singleton'_apply_self -> LinearPMap.mkSpanSingleton'_apply_self is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_pmap.mk_span_singleton'_apply_self LinearPMap.mkSpanSingleton'_apply_selfₓ'. -/
 @[simp]
 theorem mkSpanSingleton'_apply_self (x : E) (y : F) (H : ∀ c : R, c • x = 0 → c • y = 0) (h) :
     mkSpanSingleton' x y H ⟨x, h⟩ = y := by
   convert mk_span_singleton'_apply x y H 1 _ <;> rwa [one_smul]
 #align linear_pmap.mk_span_singleton'_apply_self LinearPMap.mkSpanSingleton'_apply_self
 
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 /-- The unique `linear_pmap` on `span R {x}` that sends a non-zero vector `x` to `y`.
 This version works for modules over division rings. -/
 @[reducible]
@@ -233,9 +173,6 @@ noncomputable def mkSpanSingleton {K E F : Type _} [DivisionRing K] [AddCommGrou
     (smul_eq_zero.1 hc).elim (fun hc => by rw [hc, zero_smul]) fun hx' => absurd hx' hx
 #align linear_pmap.mk_span_singleton LinearPMap.mkSpanSingleton
 
-/- warning: linear_pmap.mk_span_singleton_apply -> LinearPMap.mkSpanSingleton_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_pmap.mk_span_singleton_apply LinearPMap.mkSpanSingleton_applyₓ'. -/
 theorem mkSpanSingleton_apply (K : Type _) {E F : Type _} [DivisionRing K] [AddCommGroup E]
     [Module K E] [AddCommGroup F] [Module K F] {x : E} (hx : x ≠ 0) (y : F) :
     mkSpanSingleton x y hx ⟨x, (Submodule.mem_span_singleton_self x : x ∈ Submodule.span K {x})⟩ =
@@ -243,12 +180,6 @@ theorem mkSpanSingleton_apply (K : Type _) {E F : Type _} [DivisionRing K] [AddC
   LinearPMap.mkSpanSingleton'_apply_self _ _ _ _
 #align linear_pmap.mk_span_singleton_apply LinearPMap.mkSpanSingleton_apply
 
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 /-- Projection to the first coordinate as a `linear_pmap` -/
 protected def fst (p : Submodule R E) (p' : Submodule R F) : E × F →ₗ.[R] E
     where
@@ -256,21 +187,12 @@ protected def fst (p : Submodule R E) (p' : Submodule R F) : E × F →ₗ.[R] E
   toFun := (LinearMap.fst R E F).comp (p.Prod p').Subtype
 #align linear_pmap.fst LinearPMap.fst
 
-/- warning: linear_pmap.fst_apply -> LinearPMap.fst_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_pmap.fst_apply LinearPMap.fst_applyₓ'. -/
 @[simp]
 theorem fst_apply (p : Submodule R E) (p' : Submodule R F) (x : p.Prod p') :
     LinearPMap.fst p p' x = (x : E × F).1 :=
   rfl
 #align linear_pmap.fst_apply LinearPMap.fst_apply
 
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 /-- Projection to the second coordinate as a `linear_pmap` -/
 protected def snd (p : Submodule R E) (p' : Submodule R F) : E × F →ₗ.[R] F
     where
@@ -278,9 +200,6 @@ protected def snd (p : Submodule R E) (p' : Submodule R F) : E × F →ₗ.[R] F
   toFun := (LinearMap.snd R E F).comp (p.Prod p').Subtype
 #align linear_pmap.snd LinearPMap.snd
 
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 @[simp]
 theorem snd_apply (p : Submodule R E) (p' : Submodule R F) (x : p.Prod p') :
     LinearPMap.snd p p' x = (x : E × F).2 :=
@@ -290,12 +209,6 @@ theorem snd_apply (p : Submodule R E) (p' : Submodule R F) (x : p.Prod p') :
 instance : Neg (E →ₗ.[R] F) :=
   ⟨fun f => ⟨f.domain, -f.toFun⟩⟩
 
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 @[simp]
 theorem neg_apply (f : E →ₗ.[R] F) (x) : (-f) x = -f x :=
   rfl
@@ -304,28 +217,16 @@ theorem neg_apply (f : E →ₗ.[R] F) (x) : (-f) x = -f x :=
 instance : LE (E →ₗ.[R] F) :=
   ⟨fun f g => f.domain ≤ g.domain ∧ ∀ ⦃x : f.domain⦄ ⦃y : g.domain⦄ (h : (x : E) = y), f x = g y⟩
 
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 theorem apply_comp_ofLe {T S : E →ₗ.[R] F} (h : T ≤ S) (x : T.domain) :
     T x = S (Submodule.ofLe h.1 x) :=
   h.2 rfl
 #align linear_pmap.apply_comp_of_le LinearPMap.apply_comp_ofLe
 
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 theorem exists_of_le {T S : E →ₗ.[R] F} (h : T ≤ S) (x : T.domain) :
     ∃ y : S.domain, (x : E) = y ∧ T x = S y :=
   ⟨⟨x.1, h.1 x.2⟩, ⟨rfl, h.2 rfl⟩⟩
 #align linear_pmap.exists_of_le LinearPMap.exists_of_le
 
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 theorem eq_of_le_of_domain_eq {f g : E →ₗ.[R] F} (hle : f ≤ g) (heq : f.domain = g.domain) :
     f = g :=
   ext HEq hle.2
@@ -380,23 +281,11 @@ instance : OrderBot (E →ₗ.[R] F) where
       have hy : y = 0 := Subtype.eq (h.symm.trans (congr_arg _ hx))
       rw [hx, hy, map_zero, map_zero]⟩
 
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-Case conversion may be inaccurate. Consider using '#align linear_pmap.le_of_eq_locus_ge LinearPMap.le_of_eqLocus_geₓ'. -/
 theorem le_of_eqLocus_ge {f g : E →ₗ.[R] F} (H : f.domain ≤ f.eqLocus g) : f ≤ g :=
   suffices f ≤ f ⊓ g from le_trans this inf_le_right
   ⟨H, fun x y hxy => ((inf_le_left : f ⊓ g ≤ f).2 hxy.symm).symm⟩
 #align linear_pmap.le_of_eq_locus_ge LinearPMap.le_of_eqLocus_ge
 
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-Case conversion may be inaccurate. Consider using '#align linear_pmap.domain_mono LinearPMap.domain_monoₓ'. -/
 theorem domain_mono : StrictMono (@domain R _ E _ _ F _ _) := fun f g hlt =>
   lt_of_le_of_ne hlt.1.1 fun heq => ne_of_lt hlt <| eq_of_le_of_domain_eq (le_of_lt hlt) HEq
 #align linear_pmap.domain_mono LinearPMap.domain_mono
@@ -431,9 +320,6 @@ private theorem sup_aux (f g : E →ₗ.[R] F)
     apply fg_eq
     simp only [coe_smul, coe_mk, ← smul_add, hxy, RingHom.id_apply]
 
-/- warning: linear_pmap.sup -> LinearPMap.sup is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_pmap.sup LinearPMap.supₓ'. -/
 /-- Given two partial linear maps that agree on the intersection of their domains,
 `f.sup g h` is the unique partial linear map on `f.domain ⊔ g.domain` that agrees
 with `f` and `g`. -/
@@ -442,9 +328,6 @@ protected noncomputable def sup (f g : E →ₗ.[R] F)
   ⟨_, Classical.choose (sup_aux f g h)⟩
 #align linear_pmap.sup LinearPMap.sup
 
-/- warning: linear_pmap.domain_sup -> LinearPMap.domain_sup is a dubious translation:
-<too large>
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 @[simp]
 theorem domain_sup (f g : E →ₗ.[R] F)
     (h : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y) :
@@ -452,17 +335,11 @@ theorem domain_sup (f g : E →ₗ.[R] F)
   rfl
 #align linear_pmap.domain_sup LinearPMap.domain_sup
 
-/- warning: linear_pmap.sup_apply -> LinearPMap.sup_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_pmap.sup_apply LinearPMap.sup_applyₓ'. -/
 theorem sup_apply {f g : E →ₗ.[R] F} (H : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y)
     (x y z) (hz : (↑x : E) + ↑y = ↑z) : f.sup g H z = f x + g y :=
   Classical.choose_spec (sup_aux f g H) x y z hz
 #align linear_pmap.sup_apply LinearPMap.sup_apply
 
-/- warning: linear_pmap.left_le_sup -> LinearPMap.left_le_sup is a dubious translation:
-<too large>
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 protected theorem left_le_sup (f g : E →ₗ.[R] F)
     (h : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y) : f ≤ f.sup g h :=
   by
@@ -472,9 +349,6 @@ protected theorem left_le_sup (f g : E →ₗ.[R] F)
   simpa
 #align linear_pmap.left_le_sup LinearPMap.left_le_sup
 
-/- warning: linear_pmap.right_le_sup -> LinearPMap.right_le_sup is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_pmap.right_le_sup LinearPMap.right_le_supₓ'. -/
 protected theorem right_le_sup (f g : E →ₗ.[R] F)
     (h : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y) : g ≤ f.sup g h :=
   by
@@ -484,9 +358,6 @@ protected theorem right_le_sup (f g : E →ₗ.[R] F)
   simpa
 #align linear_pmap.right_le_sup LinearPMap.right_le_sup
 
-/- warning: linear_pmap.sup_le -> LinearPMap.sup_le is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_pmap.sup_le LinearPMap.sup_leₓ'. -/
 protected theorem sup_le {f g h : E →ₗ.[R] F}
     (H : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y) (fh : f ≤ h) (gh : g ≤ h) :
     f.sup g H ≤ h :=
@@ -495,9 +366,6 @@ protected theorem sup_le {f g h : E →ₗ.[R] F}
   le_of_eqLocus_ge <| sup_le Hf.1 Hg.1
 #align linear_pmap.sup_le LinearPMap.sup_le
 
-/- warning: linear_pmap.sup_h_of_disjoint -> LinearPMap.sup_h_of_disjoint is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_pmap.sup_h_of_disjoint LinearPMap.sup_h_of_disjointₓ'. -/
 /-- Hypothesis for `linear_pmap.sup` holds, if `f.domain` is disjoint with `g.domain`. -/
 theorem sup_h_of_disjoint (f g : E →ₗ.[R] F) (h : Disjoint f.domain g.domain) (x : f.domain)
     (y : g.domain) (hxy : (x : E) = y) : f x = g y :=
@@ -519,24 +387,15 @@ instance : SMul M (E →ₗ.[R] F) :=
     { domain := f.domain
       toFun := a • f.toFun }⟩
 
-/- warning: linear_pmap.smul_domain -> LinearPMap.smul_domain is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_pmap.smul_domain LinearPMap.smul_domainₓ'. -/
 @[simp]
 theorem smul_domain (a : M) (f : E →ₗ.[R] F) : (a • f).domain = f.domain :=
   rfl
 #align linear_pmap.smul_domain LinearPMap.smul_domain
 
-/- warning: linear_pmap.smul_apply -> LinearPMap.smul_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_pmap.smul_apply LinearPMap.smul_applyₓ'. -/
 theorem smul_apply (a : M) (f : E →ₗ.[R] F) (x : (a • f).domain) : (a • f) x = a • f x :=
   rfl
 #align linear_pmap.smul_apply LinearPMap.smul_apply
 
-/- warning: linear_pmap.coe_smul -> LinearPMap.coe_smul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_pmap.coe_smul LinearPMap.coe_smulₓ'. -/
 @[simp]
 theorem coe_smul (a : M) (f : E →ₗ.[R] F) : ⇑(a • f) = a • f :=
   rfl
@@ -562,28 +421,16 @@ instance : VAdd (E →ₗ[R] F) (E →ₗ.[R] F) :=
     { domain := g.domain
       toFun := f.comp g.domain.Subtype + g.toFun }⟩
 
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 @[simp]
 theorem vadd_domain (f : E →ₗ[R] F) (g : E →ₗ.[R] F) : (f +ᵥ g).domain = g.domain :=
   rfl
 #align linear_pmap.vadd_domain LinearPMap.vadd_domain
 
-/- warning: linear_pmap.vadd_apply -> LinearPMap.vadd_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_pmap.vadd_apply LinearPMap.vadd_applyₓ'. -/
 theorem vadd_apply (f : E →ₗ[R] F) (g : E →ₗ.[R] F) (x : (f +ᵥ g).domain) :
     (f +ᵥ g) x = f x + g x :=
   rfl
 #align linear_pmap.vadd_apply LinearPMap.vadd_apply
 
-/- warning: linear_pmap.coe_vadd -> LinearPMap.coe_vadd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_pmap.coe_vadd LinearPMap.coe_vaddₓ'. -/
 @[simp]
 theorem coe_vadd (f : E →ₗ[R] F) (g : E →ₗ.[R] F) : ⇑(f +ᵥ g) = f.comp g.domain.Subtype + g :=
   rfl
@@ -610,21 +457,12 @@ noncomputable def supSpanSingleton (f : E →ₗ.[K] F) (x : E) (y : F) (hx : x
 #align linear_pmap.sup_span_singleton LinearPMap.supSpanSingleton
 -/
 
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 @[simp]
 theorem domain_supSpanSingleton (f : E →ₗ.[K] F) (x : E) (y : F) (hx : x ∉ f.domain) :
     (f.supSpanSingleton x y hx).domain = f.domain ⊔ K ∙ x :=
   rfl
 #align linear_pmap.domain_sup_span_singleton LinearPMap.domain_supSpanSingleton
 
-/- warning: linear_pmap.sup_span_singleton_apply_mk -> LinearPMap.supSpanSingleton_apply_mk is a dubious translation:
-<too large>
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 @[simp]
 theorem supSpanSingleton_apply_mk (f : E →ₗ.[K] F) (x : E) (y : F) (hx : x ∉ f.domain) (x' : E)
     (hx' : x' ∈ f.domain) (c : K) :
@@ -696,9 +534,6 @@ protected theorem sSup_le {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·
 #align linear_pmap.Sup_le LinearPMap.sSup_le
 -/
 
-/- warning: linear_pmap.Sup_apply -> LinearPMap.sSup_apply is a dubious translation:
-<too large>
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 protected theorem sSup_apply {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {l : E →ₗ.[R] F}
     (hl : l ∈ c) (x : l.domain) :
     (LinearPMap.sSup c hc) ⟨x, (LinearPMap.le_sSup hc hl).1 x.2⟩ = l x :=
@@ -719,9 +554,6 @@ def toPMap (f : E →ₗ[R] F) (p : Submodule R E) : E →ₗ.[R] F :=
 #align linear_map.to_pmap LinearMap.toPMap
 -/
 
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-<too large>
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 @[simp]
 theorem toPMap_apply (f : E →ₗ[R] F) (p : Submodule R E) (x : p) : f.toPMap p x = f x :=
   rfl
@@ -736,9 +568,6 @@ def compPMap (g : F →ₗ[R] G) (f : E →ₗ.[R] F) : E →ₗ.[R] G
 #align linear_map.comp_pmap LinearMap.compPMap
 -/
 
-/- warning: linear_map.comp_pmap_apply -> LinearMap.compPMap_apply is a dubious translation:
-<too large>
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 @[simp]
 theorem compPMap_apply (g : F →ₗ[R] G) (f : E →ₗ.[R] F) (x) : g.compPMap f x = g (f x) :=
   rfl
@@ -748,12 +577,6 @@ end LinearMap
 
 namespace LinearPMap
 
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 /-- Restrict codomain of a `linear_pmap` -/
 def codRestrict (f : E →ₗ.[R] F) (p : Submodule R F) (H : ∀ x, f x ∈ p) : E →ₗ.[R] p
     where
@@ -761,20 +584,11 @@ def codRestrict (f : E →ₗ.[R] F) (p : Submodule R F) (H : ∀ x, f x ∈ p)
   toFun := f.toFun.codRestrict p H
 #align linear_pmap.cod_restrict LinearPMap.codRestrict
 
-/- warning: linear_pmap.comp -> LinearPMap.comp is a dubious translation:
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 /-- Compose two `linear_pmap`s -/
 def comp (g : F →ₗ.[R] G) (f : E →ₗ.[R] F) (H : ∀ x : f.domain, f x ∈ g.domain) : E →ₗ.[R] G :=
   g.toFun.compPMap <| f.codRestrict _ H
 #align linear_pmap.comp LinearPMap.comp
 
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 /-- `f.coprod g` is the partially defined linear map defined on `f.domain × g.domain`,
 and sending `p` to `f p.1 + g p.2`. -/
 def coprod (f : E →ₗ.[R] G) (g : F →ₗ.[R] G) : E × F →ₗ.[R] G
@@ -785,9 +599,6 @@ def coprod (f : E →ₗ.[R] G) (g : F →ₗ.[R] G) : E × F →ₗ.[R] G
       (g.comp (LinearPMap.snd f.domain g.domain) fun x => x.2.2).toFun
 #align linear_pmap.coprod LinearPMap.coprod
 
-/- warning: linear_pmap.coprod_apply -> LinearPMap.coprod_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_pmap.coprod_apply LinearPMap.coprod_applyₓ'. -/
 @[simp]
 theorem coprod_apply (f : E →ₗ.[R] G) (g : F →ₗ.[R] G) (x) :
     f.coprod g x = f ⟨(x : E × F).1, x.2.1⟩ + g ⟨(x : E × F).2, x.2.2⟩ :=
@@ -801,21 +612,12 @@ def domRestrict (f : E →ₗ.[R] F) (S : Submodule R E) : E →ₗ.[R] F :=
 #align linear_pmap.dom_restrict LinearPMap.domRestrict
 -/
 
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 @[simp]
 theorem domRestrict_domain (f : E →ₗ.[R] F) {S : Submodule R E} :
     (f.domRestrict S).domain = S ⊓ f.domain :=
   rfl
 #align linear_pmap.dom_restrict_domain LinearPMap.domRestrict_domain
 
-/- warning: linear_pmap.dom_restrict_apply -> LinearPMap.domRestrict_apply is a dubious translation:
-<too large>
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 theorem domRestrict_apply {f : E →ₗ.[R] F} {S : Submodule R E} ⦃x : S ⊓ f.domain⦄ ⦃y : f.domain⦄
     (h : (x : E) = y) : f.domRestrict S x = f y :=
   by
@@ -824,12 +626,6 @@ theorem domRestrict_apply {f : E →ₗ.[R] F} {S : Submodule R E} ⦃x : S ⊓
   exact LinearPMap.mk_apply _ _ _
 #align linear_pmap.dom_restrict_apply LinearPMap.domRestrict_apply
 
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 theorem domRestrict_le {f : E →ₗ.[R] F} {S : Submodule R E} : f.domRestrict S ≤ f :=
   ⟨by simp, fun x y hxy => domRestrict_apply hxy⟩
 #align linear_pmap.dom_restrict_le LinearPMap.domRestrict_le
@@ -839,45 +635,27 @@ theorem domRestrict_le {f : E →ₗ.[R] F} {S : Submodule R E} : f.domRestrict
 
 section Graph
 
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 /-- The graph of a `linear_pmap` viewed as a submodule on `E × F`. -/
 def graph (f : E →ₗ.[R] F) : Submodule R (E × F) :=
   f.toFun.graph.map (f.domain.Subtype.Prod_map (LinearMap.id : F →ₗ[R] F))
 #align linear_pmap.graph LinearPMap.graph
 
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 theorem mem_graph_iff' (f : E →ₗ.[R] F) {x : E × F} : x ∈ f.graph ↔ ∃ y : f.domain, (↑y, f y) = x :=
   by simp [graph]
 #align linear_pmap.mem_graph_iff' LinearPMap.mem_graph_iff'
 
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 @[simp]
 theorem mem_graph_iff (f : E →ₗ.[R] F) {x : E × F} :
     x ∈ f.graph ↔ ∃ y : f.domain, (↑y : E) = x.1 ∧ f y = x.2 := by cases x;
   simp_rw [mem_graph_iff', Prod.mk.inj_iff]
 #align linear_pmap.mem_graph_iff LinearPMap.mem_graph_iff
 
-/- warning: linear_pmap.mem_graph -> LinearPMap.mem_graph is a dubious translation:
-<too large>
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 /-- The tuple `(x, f x)` is contained in the graph of `f`. -/
 theorem mem_graph (f : E →ₗ.[R] F) (x : domain f) : ((x : E), f x) ∈ f.graph := by simp
 #align linear_pmap.mem_graph LinearPMap.mem_graph
 
 variable {M : Type _} [Monoid M] [DistribMulAction M F] [SMulCommClass R M F] (y : M)
 
-/- warning: linear_pmap.smul_graph -> LinearPMap.smul_graph is a dubious translation:
-<too large>
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 /-- The graph of `z • f` as a pushforward. -/
 theorem smul_graph (f : E →ₗ.[R] F) (z : M) :
     (z • f).graph =
@@ -905,12 +683,6 @@ theorem smul_graph (f : E →ₗ.[R] F) (z : M) :
   simp [hy, hx']
 #align linear_pmap.smul_graph LinearPMap.smul_graph
 
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-Case conversion may be inaccurate. Consider using '#align linear_pmap.neg_graph LinearPMap.neg_graphₓ'. -/
 /-- The graph of `-f` as a pushforward. -/
 theorem neg_graph (f : E →ₗ.[R] F) :
     (-f).graph = f.graph.map ((LinearMap.id : E →ₗ[R] E).Prod_map (-(LinearMap.id : F →ₗ[R] F))) :=
@@ -937,12 +709,6 @@ theorem neg_graph (f : E →ₗ.[R] F) :
   simp [hy, hx']
 #align linear_pmap.neg_graph LinearPMap.neg_graph
 
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-Case conversion may be inaccurate. Consider using '#align linear_pmap.mem_graph_snd_inj LinearPMap.mem_graph_snd_injₓ'. -/
 theorem mem_graph_snd_inj (f : E →ₗ.[R] F) {x y : E} {x' y' : F} (hx : (x, x') ∈ f.graph)
     (hy : (y, y') ∈ f.graph) (hxy : x = y) : x' = y' :=
   by
@@ -954,34 +720,16 @@ theorem mem_graph_snd_inj (f : E →ₗ.[R] F) {x y : E} {x' y' : F} (hx : (x, x
   rw [← hx2, ← hy2, hxy]
 #align linear_pmap.mem_graph_snd_inj LinearPMap.mem_graph_snd_inj
 
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 theorem mem_graph_snd_inj' (f : E →ₗ.[R] F) {x y : E × F} (hx : x ∈ f.graph) (hy : y ∈ f.graph)
     (hxy : x.1 = y.1) : x.2 = y.2 := by cases x; cases y; exact f.mem_graph_snd_inj hx hy hxy
 #align linear_pmap.mem_graph_snd_inj' LinearPMap.mem_graph_snd_inj'
 
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 /-- The property that `f 0 = 0` in terms of the graph. -/
 theorem graph_fst_eq_zero_snd (f : E →ₗ.[R] F) {x : E} {x' : F} (h : (x, x') ∈ f.graph)
     (hx : x = 0) : x' = 0 :=
   f.mem_graph_snd_inj h f.graph.zero_mem hx
 #align linear_pmap.graph_fst_eq_zero_snd LinearPMap.graph_fst_eq_zero_snd
 
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 theorem mem_domain_iff {f : E →ₗ.[R] F} {x : E} : x ∈ f.domain ↔ ∃ y : F, (x, y) ∈ f.graph :=
   by
   constructor <;> intro h
@@ -995,19 +743,10 @@ theorem mem_domain_iff {f : E →ₗ.[R] F} {x : E} : x ∈ f.domain ↔ ∃ y :
   simp
 #align linear_pmap.mem_domain_iff LinearPMap.mem_domain_iff
 
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 theorem mem_domain_of_mem_graph {f : E →ₗ.[R] F} {x : E} {y : F} (h : (x, y) ∈ f.graph) :
     x ∈ f.domain := by rw [mem_domain_iff]; exact ⟨y, h⟩
 #align linear_pmap.mem_domain_of_mem_graph LinearPMap.mem_domain_of_mem_graph
 
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-<too large>
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 theorem image_iff {f : E →ₗ.[R] F} {x : E} {y : F} (hx : x ∈ f.domain) :
     y = f ⟨x, hx⟩ ↔ (x, y) ∈ f.graph := by
   rw [mem_graph_iff]
@@ -1019,12 +758,6 @@ theorem image_iff {f : E →ₗ.[R] F} {x : E} {y : F} (hx : x ∈ f.domain) :
   simp only [← h2, h1]
 #align linear_pmap.image_iff LinearPMap.image_iff
 
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 theorem mem_range_iff {f : E →ₗ.[R] F} {y : F} : y ∈ Set.range f ↔ ∃ x : E, (x, y) ∈ f.graph :=
   by
   constructor <;> intro h
@@ -1042,22 +775,10 @@ theorem mem_range_iff {f : E →ₗ.[R] F} {y : F} : y ∈ Set.range f ↔ ∃ x
   rw [h.2]
 #align linear_pmap.mem_range_iff LinearPMap.mem_range_iff
 
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 theorem mem_domain_iff_of_eq_graph {f g : E →ₗ.[R] F} (h : f.graph = g.graph) {x : E} :
     x ∈ f.domain ↔ x ∈ g.domain := by simp_rw [mem_domain_iff, h]
 #align linear_pmap.mem_domain_iff_of_eq_graph LinearPMap.mem_domain_iff_of_eq_graph
 
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-Case conversion may be inaccurate. Consider using '#align linear_pmap.le_of_le_graph LinearPMap.le_of_le_graphₓ'. -/
 theorem le_of_le_graph {f g : E →ₗ.[R] F} (h : f.graph ≤ g.graph) : f ≤ g :=
   by
   constructor
@@ -1075,12 +796,6 @@ theorem le_of_le_graph {f g : E →ₗ.[R] F} (h : f.graph ≤ g.graph) : f ≤
   simp [hxy]
 #align linear_pmap.le_of_le_graph LinearPMap.le_of_le_graph
 
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-Case conversion may be inaccurate. Consider using '#align linear_pmap.le_graph_of_le LinearPMap.le_graph_of_leₓ'. -/
 theorem le_graph_of_le {f g : E →ₗ.[R] F} (h : f ≤ g) : f.graph ≤ g.graph :=
   by
   intro x hx
@@ -1094,22 +809,10 @@ theorem le_graph_of_le {f g : E →ₗ.[R] F} (h : f ≤ g) : f.graph ≤ g.grap
   simp only [hx.1, Submodule.coe_mk]
 #align linear_pmap.le_graph_of_le LinearPMap.le_graph_of_le
 
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 theorem le_graph_iff {f g : E →ₗ.[R] F} : f.graph ≤ g.graph ↔ f ≤ g :=
   ⟨le_of_le_graph, le_graph_of_le⟩
 #align linear_pmap.le_graph_iff LinearPMap.le_graph_iff
 
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 theorem eq_of_eq_graph {f g : E →ₗ.[R] F} (h : f.graph = g.graph) : f = g := by ext;
   exact mem_domain_iff_of_eq_graph h; exact (le_of_le_graph h.le).2
 #align linear_pmap.eq_of_eq_graph LinearPMap.eq_of_eq_graph
@@ -1122,9 +825,6 @@ namespace Submodule
 
 section SubmoduleToLinearPmap
 
-/- warning: submodule.exists_unique_from_graph -> Submodule.existsUnique_from_graph is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align submodule.exists_unique_from_graph Submodule.existsUnique_from_graphₓ'. -/
 theorem existsUnique_from_graph {g : Submodule R (E × F)}
     (hg : ∀ {x : E × F} (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0) {a : E}
     (ha : a ∈ g.map (LinearMap.fst R E F)) : ∃! b : F, (a, b) ∈ g :=
@@ -1138,9 +838,6 @@ theorem existsUnique_from_graph {g : Submodule R (E × F)}
   exact sub_eq_zero.mp (hg hy (by simp))
 #align submodule.exists_unique_from_graph Submodule.existsUnique_from_graph
 
-/- warning: submodule.val_from_graph -> Submodule.valFromGraph is a dubious translation:
-<too large>
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 /-- Auxiliary definition to unfold the existential quantifier. -/
 noncomputable def valFromGraph {g : Submodule R (E × F)}
     (hg : ∀ (x : E × F) (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0) {a : E}
@@ -1148,21 +845,12 @@ noncomputable def valFromGraph {g : Submodule R (E × F)}
   (ExistsUnique.exists (existsUnique_from_graph hg ha)).some
 #align submodule.val_from_graph Submodule.valFromGraph
 
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 theorem valFromGraph_mem {g : Submodule R (E × F)}
     (hg : ∀ (x : E × F) (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0) {a : E}
     (ha : a ∈ g.map (LinearMap.fst R E F)) : (a, valFromGraph hg ha) ∈ g :=
   (ExistsUnique.exists (existsUnique_from_graph hg ha)).choose_spec
 #align submodule.val_from_graph_mem Submodule.valFromGraph_mem
 
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-Case conversion may be inaccurate. Consider using '#align submodule.to_linear_pmap Submodule.toLinearPMapₓ'. -/
 /-- Define a `linear_pmap` from its graph. -/
 noncomputable def toLinearPMap (g : Submodule R (E × F))
     (hg : ∀ (x : E × F) (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0) : E →ₗ.[R] F
@@ -1186,21 +874,12 @@ noncomputable def toLinearPMap (g : Submodule R (E × F))
         exact (exists_unique_from_graph hg hsmul).unique hav hav' }
 #align submodule.to_linear_pmap Submodule.toLinearPMap
 
-/- warning: submodule.mem_graph_to_linear_pmap -> Submodule.mem_graph_toLinearPMap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align submodule.mem_graph_to_linear_pmap Submodule.mem_graph_toLinearPMapₓ'. -/
 theorem mem_graph_toLinearPMap (g : Submodule R (E × F))
     (hg : ∀ (x : E × F) (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0)
     (x : g.map (LinearMap.fst R E F)) : (x.val, g.toLinearPMap hg x) ∈ g :=
   valFromGraph_mem hg x.2
 #align submodule.mem_graph_to_linear_pmap Submodule.mem_graph_toLinearPMap
 
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 @[simp]
 theorem toLinearPMap_graph_eq (g : Submodule R (E × F))
     (hg : ∀ (x : E × F) (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0) :

bump to nightly-2023-05-28-04

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

6797a637

Diff

@@ -104,12 +104,7 @@ theorem ext_iff {f g : E →ₗ.[R] F} :
     f = g ↔
       ∃ domain_eq : f.domain = g.domain,
         ∀ ⦃x : f.domain⦄ ⦃y : g.domain⦄ (h : (x : E) = y), f x = g y :=
-  ⟨fun EQ =>
-    EQ ▸
-      ⟨rfl, fun x y h => by
-        congr
-        exact_mod_cast h⟩,
-    fun ⟨deq, feq⟩ => ext deq feq⟩
+  ⟨fun EQ => EQ ▸ ⟨rfl, fun x y h => by congr ; exact_mod_cast h⟩, fun ⟨deq, feq⟩ => ext deq feq⟩
 #align linear_pmap.ext_iff LinearPMap.ext_iff
 
 /- warning: linear_pmap.ext' -> LinearPMap.ext' is a dubious translation:
@@ -372,9 +367,7 @@ instance : SemilatticeInf (E →ₗ.[R] F) where
   le_inf := fun f g h ⟨fg_le, fg_eq⟩ ⟨fh_le, fh_eq⟩ =>
     ⟨fun x hx =>
       ⟨fg_le hx, fh_le hx, by refine' (fg_eq _).symm.trans (fh_eq _) <;> [exact ⟨x, hx⟩;rfl;rfl]⟩,
-      fun x ⟨y, yg, hy⟩ h => by
-      apply fg_eq
-      exact h⟩
+      fun x ⟨y, yg, hy⟩ h => by apply fg_eq; exact h⟩
   inf_le_left f g := ⟨fun x hx => hx.fst, fun x y h => congr_arg f <| Subtype.eq <| h⟩
   inf_le_right f g :=
     ⟨fun x hx => hx.snd.fst, fun ⟨x, xf, xg, hx⟩ y h => hx.trans <| congr_arg g <| Subtype.eq <| h⟩
@@ -649,9 +642,7 @@ end
 private theorem Sup_aux (c : Set (E →ₗ.[R] F)) (hc : DirectedOn (· ≤ ·) c) :
     ∃ f : ↥(sSup (domain '' c)) →ₗ[R] F, (⟨_, f⟩ : E →ₗ.[R] F) ∈ upperBounds c :=
   by
-  cases' c.eq_empty_or_nonempty with ceq cne
-  · subst c
-    simp
+  cases' c.eq_empty_or_nonempty with ceq cne; · subst c; simp
   have hdir : DirectedOn (· ≤ ·) (domain '' c) := directedOn_image.2 (hc.mono domain_mono.monotone)
   have P : ∀ x : Sup (domain '' c), { p : c // (x : E) ∈ p.val.domain } :=
     by
@@ -828,9 +819,7 @@ Case conversion may be inaccurate. Consider using '#align linear_pmap.dom_restri
 theorem domRestrict_apply {f : E →ₗ.[R] F} {S : Submodule R E} ⦃x : S ⊓ f.domain⦄ ⦃y : f.domain⦄
     (h : (x : E) = y) : f.domRestrict S x = f y :=
   by
-  have : Submodule.ofLe (by simp) x = y := by
-    ext
-    simp [h]
+  have : Submodule.ofLe (by simp) x = y := by ext; simp [h]
   rw [← this]
   exact LinearPMap.mk_apply _ _ _
 #align linear_pmap.dom_restrict_apply LinearPMap.domRestrict_apply
@@ -873,9 +862,7 @@ theorem mem_graph_iff' (f : E →ₗ.[R] F) {x : E × F} : x ∈ f.graph ↔ ∃
 Case conversion may be inaccurate. Consider using '#align linear_pmap.mem_graph_iff LinearPMap.mem_graph_iffₓ'. -/
 @[simp]
 theorem mem_graph_iff (f : E →ₗ.[R] F) {x : E × F} :
-    x ∈ f.graph ↔ ∃ y : f.domain, (↑y : E) = x.1 ∧ f y = x.2 :=
-  by
-  cases x
+    x ∈ f.graph ↔ ∃ y : f.domain, (↑y : E) = x.1 ∧ f y = x.2 := by cases x;
   simp_rw [mem_graph_iff', Prod.mk.inj_iff]
 #align linear_pmap.mem_graph_iff LinearPMap.mem_graph_iff
 
@@ -974,10 +961,7 @@ but is expected to have type
   forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) {x : Prod.{u2, u1} E F} {y : Prod.{u2, u1} E F}, (Membership.mem.{max u2 u1, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.setLike.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) x (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> (Membership.mem.{max u2 u1, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.setLike.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) y (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> (Eq.{succ u2} E (Prod.fst.{u2, u1} E F x) (Prod.fst.{u2, u1} E F y)) -> (Eq.{succ u1} F (Prod.snd.{u2, u1} E F x) (Prod.snd.{u2, u1} E F y))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.mem_graph_snd_inj' LinearPMap.mem_graph_snd_inj'ₓ'. -/
 theorem mem_graph_snd_inj' (f : E →ₗ.[R] F) {x y : E × F} (hx : x ∈ f.graph) (hy : y ∈ f.graph)
-    (hxy : x.1 = y.1) : x.2 = y.2 := by
-  cases x
-  cases y
-  exact f.mem_graph_snd_inj hx hy hxy
+    (hxy : x.1 = y.1) : x.2 = y.2 := by cases x; cases y; exact f.mem_graph_snd_inj hx hy hxy
 #align linear_pmap.mem_graph_snd_inj' LinearPMap.mem_graph_snd_inj'
 
 /- warning: linear_pmap.graph_fst_eq_zero_snd -> LinearPMap.graph_fst_eq_zero_snd is a dubious translation:
@@ -1018,9 +1002,7 @@ but is expected to have type
   forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] {f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {x : E} {y : F}, (Membership.mem.{max u1 u2, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.setLike.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u1} E F x y) (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> (Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.mem_domain_of_mem_graph LinearPMap.mem_domain_of_mem_graphₓ'. -/
 theorem mem_domain_of_mem_graph {f : E →ₗ.[R] F} {x : E} {y : F} (h : (x, y) ∈ f.graph) :
-    x ∈ f.domain := by
-  rw [mem_domain_iff]
-  exact ⟨y, h⟩
+    x ∈ f.domain := by rw [mem_domain_iff]; exact ⟨y, h⟩
 #align linear_pmap.mem_domain_of_mem_graph LinearPMap.mem_domain_of_mem_graph
 
 /- warning: linear_pmap.image_iff -> LinearPMap.image_iff is a dubious translation:
@@ -1128,11 +1110,8 @@ lean 3 declaration is
 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.eq_of_eq_graph LinearPMap.eq_of_eq_graphₓ'. -/
-theorem eq_of_eq_graph {f g : E →ₗ.[R] F} (h : f.graph = g.graph) : f = g :=
-  by
-  ext
-  exact mem_domain_iff_of_eq_graph h
-  exact (le_of_le_graph h.le).2
+theorem eq_of_eq_graph {f g : E →ₗ.[R] F} (h : f.graph = g.graph) : f = g := by ext;
+  exact mem_domain_iff_of_eq_graph h; exact (le_of_le_graph h.le).2
 #align linear_pmap.eq_of_eq_graph LinearPMap.eq_of_eq_graph
 
 end Graph
@@ -1151,8 +1130,7 @@ theorem existsUnique_from_graph {g : Submodule R (E × F)}
     (ha : a ∈ g.map (LinearMap.fst R E F)) : ∃! b : F, (a, b) ∈ g :=
   by
   refine' existsUnique_of_exists_of_unique _ _
-  · convert ha
-    simp
+  · convert ha; simp
   intro y₁ y₂ hy₁ hy₂
   have hy : ((0 : E), y₁ - y₂) ∈ g := by
     convert g.sub_mem hy₁ hy₂

bump to nightly-2023-05-28-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

6c6011cf

Diff

@@ -65,10 +65,7 @@ instance : CoeFun (E →ₗ.[R] F) fun f : E →ₗ.[R] F => f.domain → F :=
   ⟨fun f => f.toFun⟩
 
 /- warning: linear_pmap.to_fun_eq_coe -> LinearPMap.toFun_eq_coe is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.to_fun_eq_coe LinearPMap.toFun_eq_coeₓ'. -/
 @[simp]
 theorem toFun_eq_coe (f : E →ₗ.[R] F) (x : f.domain) : f.toFun x = f x :=
@@ -76,10 +73,7 @@ theorem toFun_eq_coe (f : E →ₗ.[R] F) (x : f.domain) : f.toFun x = f x :=
 #align linear_pmap.to_fun_eq_coe LinearPMap.toFun_eq_coe
 
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.ext LinearPMap.extₓ'. -/
 @[ext]
 theorem ext {f g : E →ₗ.[R] F} (h : f.domain = g.domain)
@@ -104,10 +98,7 @@ theorem map_zero (f : E →ₗ.[R] F) : f 0 = 0 :=
 #align linear_pmap.map_zero LinearPMap.map_zero
 
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.ext_iff LinearPMap.ext_iffₓ'. -/
 theorem ext_iff {f g : E →ₗ.[R] F} :
     f = g ↔
@@ -122,20 +113,14 @@ theorem ext_iff {f g : E →ₗ.[R] F} :
 #align linear_pmap.ext_iff LinearPMap.ext_iff
 
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.ext' LinearPMap.ext'ₓ'. -/
 theorem ext' {s : Submodule R E} {f g : s →ₗ[R] F} (h : f = g) : mk s f = mk s g :=
   h ▸ rfl
 #align linear_pmap.ext' LinearPMap.ext'
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_pmap.map_add LinearPMap.map_addₓ'. -/
 theorem map_add (f : E →ₗ.[R] F) (x y : f.domain) : f (x + y) = f x + f y :=
   f.toFun.map_add x y
@@ -152,30 +137,21 @@ theorem map_neg (f : E →ₗ.[R] F) (x : f.domain) : f (-x) = -f x :=
 #align linear_pmap.map_neg LinearPMap.map_neg
 
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.map_sub LinearPMap.map_subₓ'. -/
 theorem map_sub (f : E →ₗ.[R] F) (x y : f.domain) : f (x - y) = f x - f y :=
   f.toFun.map_sub x y
 #align linear_pmap.map_sub LinearPMap.map_sub
 
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.map_smul LinearPMap.map_smulₓ'. -/
 theorem map_smul (f : E →ₗ.[R] F) (c : R) (x : f.domain) : f (c • x) = c • f x :=
   f.toFun.map_smul c x
 #align linear_pmap.map_smul LinearPMap.map_smul
 
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.mk_apply LinearPMap.mk_applyₓ'. -/
 @[simp]
 theorem mk_apply (p : Submodule R E) (f : p →ₗ[R] F) (x : p) : mk p f x = f x :=
@@ -225,10 +201,7 @@ theorem domain_mkSpanSingleton (x : E) (y : F) (H : ∀ c : R, c • x = 0 → c
 #align linear_pmap.domain_mk_span_singleton LinearPMap.domain_mkSpanSingleton
 
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(SMul.smul.{u1, u3} R F (SMulZeroClass.toHasSmul.{u1, u3} R F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R F (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R F (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (Module.toMulActionWithZero.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5)))) c y)
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_pmap.mk_span_singleton'_apply LinearPMap.mkSpanSingleton'_applyₓ'. -/
 @[simp]
 theorem mkSpanSingleton'_apply (x : E) (y : F) (H : ∀ c : R, c • x = 0 → c • y = 0) (c : R) (h) :
@@ -242,10 +215,7 @@ theorem mkSpanSingleton'_apply (x : E) (y : F) (H : ∀ c : R, c • x = 0 → c
 #align linear_pmap.mk_span_singleton'_apply LinearPMap.mkSpanSingleton'_apply
 
 /- warning: linear_pmap.mk_span_singleton'_apply_self -> LinearPMap.mkSpanSingleton'_apply_self is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.mk_span_singleton'_apply_self LinearPMap.mkSpanSingleton'_apply_selfₓ'. -/
 @[simp]
 theorem mkSpanSingleton'_apply_self (x : E) (y : F) (H : ∀ c : R, c • x = 0 → c • y = 0) (h) :
@@ -269,10 +239,7 @@ noncomputable def mkSpanSingleton {K E F : Type _} [DivisionRing K] [AddCommGrou
 #align linear_pmap.mk_span_singleton LinearPMap.mkSpanSingleton
 
 /- warning: linear_pmap.mk_span_singleton_apply -> LinearPMap.mkSpanSingleton_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.mk_span_singleton_apply LinearPMap.mkSpanSingleton_applyₓ'. -/
 theorem mkSpanSingleton_apply (K : Type _) {E F : Type _} [DivisionRing K] [AddCommGroup E]
     [Module K E] [AddCommGroup F] [Module K F] {x : E} (hx : x ≠ 0) (y : F) :
@@ -295,10 +262,7 @@ protected def fst (p : Submodule R E) (p' : Submodule R F) : E × F →ₗ.[R] E
 #align linear_pmap.fst LinearPMap.fst
 
 /- warning: linear_pmap.fst_apply -> LinearPMap.fst_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.fst_apply LinearPMap.fst_applyₓ'. -/
 @[simp]
 theorem fst_apply (p : Submodule R E) (p' : Submodule R F) (x : p.Prod p') :
@@ -320,10 +284,7 @@ protected def snd (p : Submodule R E) (p' : Submodule R F) : E × F →ₗ.[R] F
 #align linear_pmap.snd LinearPMap.snd
 
 /- warning: linear_pmap.snd_apply -> LinearPMap.snd_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.snd_apply LinearPMap.snd_applyₓ'. -/
 @[simp]
 theorem snd_apply (p : Submodule R E) (p' : Submodule R F) (x : p.Prod p') :
@@ -349,10 +310,7 @@ instance : LE (E →ₗ.[R] F) :=
   ⟨fun f g => f.domain ≤ g.domain ∧ ∀ ⦃x : f.domain⦄ ⦃y : g.domain⦄ (h : (x : E) = y), f x = g y⟩
 
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.apply_comp_of_le LinearPMap.apply_comp_ofLeₓ'. -/
 theorem apply_comp_ofLe {T S : E →ₗ.[R] F} (h : T ≤ S) (x : T.domain) :
     T x = S (Submodule.ofLe h.1 x) :=
@@ -360,10 +318,7 @@ theorem apply_comp_ofLe {T S : E →ₗ.[R] F} (h : T ≤ S) (x : T.domain) :
 #align linear_pmap.apply_comp_of_le LinearPMap.apply_comp_ofLe
 
 /- warning: linear_pmap.exists_of_le -> LinearPMap.exists_of_le is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.exists_of_le LinearPMap.exists_of_leₓ'. -/
 theorem exists_of_le {T S : E →ₗ.[R] F} (h : T ≤ S) (x : T.domain) :
     ∃ y : S.domain, (x : E) = y ∧ T x = S y :=
@@ -482,13 +437,9 @@ private theorem sup_aux (f g : E →ₗ.[R] F)
     rw [smul_add, ← map_smul, ← map_smul]
     apply fg_eq
     simp only [coe_smul, coe_mk, ← smul_add, hxy, RingHom.id_apply]
-#align linear_pmap.sup_aux linear_pmap.sup_aux
 
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.sup LinearPMap.supₓ'. -/
 /-- Given two partial linear maps that agree on the intersection of their domains,
 `f.sup g h` is the unique partial linear map on `f.domain ⊔ g.domain` that agrees
@@ -499,10 +450,7 @@ protected noncomputable def sup (f g : E →ₗ.[R] F)
 #align linear_pmap.sup LinearPMap.sup
 
 /- warning: linear_pmap.domain_sup -> LinearPMap.domain_sup is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.domain_sup LinearPMap.domain_supₓ'. -/
 @[simp]
 theorem domain_sup (f g : E →ₗ.[R] F)
@@ -512,10 +460,7 @@ theorem domain_sup (f g : E →ₗ.[R] F)
 #align linear_pmap.domain_sup LinearPMap.domain_sup
 
 /- warning: linear_pmap.sup_apply -> LinearPMap.sup_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.sup_apply LinearPMap.sup_applyₓ'. -/
 theorem sup_apply {f g : E →ₗ.[R] F} (H : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y)
     (x y z) (hz : (↑x : E) + ↑y = ↑z) : f.sup g H z = f x + g y :=
@@ -523,10 +468,7 @@ theorem sup_apply {f g : E →ₗ.[R] F} (H : ∀ (x : f.domain) (y : g.domain),
 #align linear_pmap.sup_apply LinearPMap.sup_apply
 
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.left_le_sup LinearPMap.left_le_supₓ'. -/
 protected theorem left_le_sup (f g : E →ₗ.[R] F)
     (h : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y) : f ≤ f.sup g h :=
@@ -538,10 +480,7 @@ protected theorem left_le_sup (f g : E →ₗ.[R] F)
 #align linear_pmap.left_le_sup LinearPMap.left_le_sup
 
 /- warning: linear_pmap.right_le_sup -> LinearPMap.right_le_sup is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.right_le_sup LinearPMap.right_le_supₓ'. -/
 protected theorem right_le_sup (f g : E →ₗ.[R] F)
     (h : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y) : g ≤ f.sup g h :=
@@ -553,10 +492,7 @@ protected theorem right_le_sup (f g : E →ₗ.[R] F)
 #align linear_pmap.right_le_sup LinearPMap.right_le_sup
 
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.sup_le LinearPMap.sup_leₓ'. -/
 protected theorem sup_le {f g h : E →ₗ.[R] F}
     (H : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y) (fh : f ≤ h) (gh : g ≤ h) :
@@ -567,10 +503,7 @@ protected theorem sup_le {f g h : E →ₗ.[R] F}
 #align linear_pmap.sup_le LinearPMap.sup_le
 
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.sup_h_of_disjoint LinearPMap.sup_h_of_disjointₓ'. -/
 /-- Hypothesis for `linear_pmap.sup` holds, if `f.domain` is disjoint with `g.domain`. -/
 theorem sup_h_of_disjoint (f g : E →ₗ.[R] F) (h : Disjoint f.domain g.domain) (x : f.domain)
@@ -594,10 +527,7 @@ instance : SMul M (E →ₗ.[R] F) :=
       toFun := a • f.toFun }⟩
 
 /- warning: linear_pmap.smul_domain -> LinearPMap.smul_domain is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.smul_domain LinearPMap.smul_domainₓ'. -/
 @[simp]
 theorem smul_domain (a : M) (f : E →ₗ.[R] F) : (a • f).domain = f.domain :=
@@ -605,20 +535,14 @@ theorem smul_domain (a : M) (f : E →ₗ.[R] F) : (a • f).domain = f.domain :
 #align linear_pmap.smul_domain LinearPMap.smul_domain
 
 /- warning: linear_pmap.smul_apply -> LinearPMap.smul_apply is a dubious translation:
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(DistribMulAction.toDistribSMul.{u4, u3} M F _inst_8 (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))) _inst_9)))] (a : M) (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (SMul.smul.{u4, max u2 u3} M (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u1, u2, u3, u4} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10) a f))), Eq.{succ u3} F 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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_pmap.smul_apply LinearPMap.smul_applyₓ'. -/
 theorem smul_apply (a : M) (f : E →ₗ.[R] F) (x : (a • f).domain) : (a • f) x = a • f x :=
   rfl
 #align linear_pmap.smul_apply LinearPMap.smul_apply
 
 /- warning: linear_pmap.coe_smul -> LinearPMap.coe_smul is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.coe_smul LinearPMap.coe_smulₓ'. -/
 @[simp]
 theorem coe_smul (a : M) (f : E →ₗ.[R] F) : ⇑(a • f) = a • f :=
@@ -657,10 +581,7 @@ theorem vadd_domain (f : E →ₗ[R] F) (g : E →ₗ.[R] F) : (f +ᵥ g).domain
 #align linear_pmap.vadd_domain LinearPMap.vadd_domain
 
 /- warning: linear_pmap.vadd_apply -> LinearPMap.vadd_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_pmap.vadd_apply LinearPMap.vadd_applyₓ'. -/
 theorem vadd_apply (f : E →ₗ[R] F) (g : E →ₗ.[R] F) (x : (f +ᵥ g).domain) :
     (f +ᵥ g) x = f x + g x :=
@@ -668,10 +589,7 @@ theorem vadd_apply (f : E →ₗ[R] F) (g : E →ₗ.[R] F) (x : (f +ᵥ g).doma
 #align linear_pmap.vadd_apply LinearPMap.vadd_apply
 
 /- warning: linear_pmap.coe_vadd -> LinearPMap.coe_vadd is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_pmap.coe_vadd LinearPMap.coe_vaddₓ'. -/
 @[simp]
 theorem coe_vadd (f : E →ₗ[R] F) (g : E →ₗ.[R] F) : ⇑(f +ᵥ g) = f.comp g.domain.Subtype + g :=
@@ -712,10 +630,7 @@ theorem domain_supSpanSingleton (f : E →ₗ.[K] F) (x : E) (y : F) (hx : x ∉
 #align linear_pmap.domain_sup_span_singleton LinearPMap.domain_supSpanSingleton
 
 /- warning: linear_pmap.sup_span_singleton_apply_mk -> LinearPMap.supSpanSingleton_apply_mk is a dubious translation:
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(Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (Module.toMulActionWithZero.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)))) c x) (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 (LinearPMap.mkSpanSingleton.{u3, u1, u2} K E F _inst_8 _inst_2 _inst_9 _inst_4 _inst_10 x y (LinearPMap.supSpanSingleton._proof_1.{u1, u2, u3} E _inst_2 F _inst_4 K _inst_8 _inst_9 _inst_10 f x hx)))) (fun (H : Membership.Mem.{u1, u1} E (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (SetLike.hasMem.{u1, u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K 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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_pmap.sup_span_singleton_apply_mk LinearPMap.supSpanSingleton_apply_mkₓ'. -/
 @[simp]
 theorem supSpanSingleton_apply_mk (f : E →ₗ.[K] F) (x : E) (y : F) (hx : x ∉ f.domain) (x' : E)
@@ -763,7 +678,6 @@ private theorem Sup_aux (c : Set (E →ₗ.[R] F)) (hc : DirectedOn (· ≤ ·)
   · intro p hpc
     refine' ⟨le_sSup <| mem_image_of_mem domain hpc, fun x y hxy => Eq.symm _⟩
     exact f_eq ⟨p, hpc⟩ _ _ hxy.symm
-#align linear_pmap.Sup_aux linear_pmap.Sup_aux
 
 #print LinearPMap.sSup /-
 /-- Glue a collection of partially defined linear maps to a linear map defined on `Sup`
@@ -792,10 +706,7 @@ protected theorem sSup_le {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·
 -/
 
 /- warning: linear_pmap.Sup_apply -> LinearPMap.sSup_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_pmap.Sup_apply LinearPMap.sSup_applyₓ'. -/
 protected theorem sSup_apply {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {l : E →ₗ.[R] F}
     (hl : l ∈ c) (x : l.domain) :
@@ -818,10 +729,7 @@ def toPMap (f : E →ₗ[R] F) (p : Submodule R E) : E →ₗ.[R] F :=
 -/
 
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 Case conversion may be inaccurate. Consider using '#align linear_map.to_pmap_apply LinearMap.toPMap_applyₓ'. -/
 @[simp]
 theorem toPMap_apply (f : E →ₗ[R] F) (p : Submodule R E) (x : p) : f.toPMap p x = f x :=
@@ -838,10 +746,7 @@ def compPMap (g : F →ₗ[R] G) (f : E →ₗ.[R] F) : E →ₗ.[R] G
 -/
 
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 @[simp]
 theorem compPMap_apply (g : F →ₗ[R] G) (f : E →ₗ.[R] F) (x) : g.compPMap f x = g (f x) :=
@@ -866,10 +771,7 @@ def codRestrict (f : E →ₗ.[R] F) (p : Submodule R F) (H : ∀ x, f x ∈ p)
 #align linear_pmap.cod_restrict LinearPMap.codRestrict
 
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 /-- Compose two `linear_pmap`s -/
 def comp (g : F →ₗ.[R] G) (f : E →ₗ.[R] F) (H : ∀ x : f.domain, f x ∈ g.domain) : E →ₗ.[R] G :=
@@ -893,10 +795,7 @@ def coprod (f : E →ₗ.[R] G) (g : F →ₗ.[R] G) : E × F →ₗ.[R] G
 #align linear_pmap.coprod LinearPMap.coprod
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_pmap.coprod_apply LinearPMap.coprod_applyₓ'. -/
 @[simp]
 theorem coprod_apply (f : E →ₗ.[R] G) (g : F →ₗ.[R] G) (x) :
@@ -924,10 +823,7 @@ theorem domRestrict_domain (f : E →ₗ.[R] F) {S : Submodule R E} :
 #align linear_pmap.dom_restrict_domain LinearPMap.domRestrict_domain
 
 /- warning: linear_pmap.dom_restrict_apply -> LinearPMap.domRestrict_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.dom_restrict_apply LinearPMap.domRestrict_applyₓ'. -/
 theorem domRestrict_apply {f : E →ₗ.[R] F} {S : Submodule R E} ⦃x : S ⊓ f.domain⦄ ⦃y : f.domain⦄
     (h : (x : E) = y) : f.domRestrict S x = f y :=
@@ -966,20 +862,14 @@ def graph (f : E →ₗ.[R] F) : Submodule R (E × F) :=
 #align linear_pmap.graph LinearPMap.graph
 
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.mem_graph_iff' LinearPMap.mem_graph_iff'ₓ'. -/
 theorem mem_graph_iff' (f : E →ₗ.[R] F) {x : E × F} : x ∈ f.graph ↔ ∃ y : f.domain, (↑y, f y) = x :=
   by simp [graph]
 #align linear_pmap.mem_graph_iff' LinearPMap.mem_graph_iff'
 
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.mem_graph_iff LinearPMap.mem_graph_iffₓ'. -/
 @[simp]
 theorem mem_graph_iff (f : E →ₗ.[R] F) {x : E × F} :
@@ -990,10 +880,7 @@ theorem mem_graph_iff (f : E →ₗ.[R] F) {x : E × F} :
 #align linear_pmap.mem_graph_iff LinearPMap.mem_graph_iff
 
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.mem_graph LinearPMap.mem_graphₓ'. -/
 /-- The tuple `(x, f x)` is contained in the graph of `f`. -/
 theorem mem_graph (f : E →ₗ.[R] F) (x : domain f) : ((x : E), f x) ∈ f.graph := by simp
@@ -1002,10 +889,7 @@ theorem mem_graph (f : E →ₗ.[R] F) (x : domain f) : ((x : E), f x) ∈ f.gra
 variable {M : Type _} [Monoid M] [DistribMulAction M F] [SMulCommClass R M F] (y : M)
 
 /- warning: linear_pmap.smul_graph -> LinearPMap.smul_graph is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.smul_graph LinearPMap.smul_graphₓ'. -/
 /-- The graph of `z • f` as a pushforward. -/
 theorem smul_graph (f : E →ₗ.[R] F) (z : M) :
@@ -1140,10 +1024,7 @@ theorem mem_domain_of_mem_graph {f : E →ₗ.[R] F} {x : E} {y : F} (h : (x, y)
 #align linear_pmap.mem_domain_of_mem_graph LinearPMap.mem_domain_of_mem_graph
 
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.image_iff LinearPMap.image_iffₓ'. -/
 theorem image_iff {f : E →ₗ.[R] F} {x : E} {y : F} (hx : x ∈ f.domain) :
     y = f ⟨x, hx⟩ ↔ (x, y) ∈ f.graph := by
@@ -1263,10 +1144,7 @@ namespace Submodule
 section SubmoduleToLinearPmap
 
 /- warning: submodule.exists_unique_from_graph -> Submodule.existsUnique_from_graph is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align submodule.exists_unique_from_graph Submodule.existsUnique_from_graphₓ'. -/
 theorem existsUnique_from_graph {g : Submodule R (E × F)}
     (hg : ∀ {x : E × F} (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0) {a : E}
@@ -1283,10 +1161,7 @@ theorem existsUnique_from_graph {g : Submodule R (E × F)}
 #align submodule.exists_unique_from_graph Submodule.existsUnique_from_graph
 
 /- warning: submodule.val_from_graph -> Submodule.valFromGraph is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align submodule.val_from_graph Submodule.valFromGraphₓ'. -/
 /-- Auxiliary definition to unfold the existential quantifier. -/
 noncomputable def valFromGraph {g : Submodule R (E × F)}
@@ -1296,10 +1171,7 @@ noncomputable def valFromGraph {g : Submodule R (E × F)}
 #align submodule.val_from_graph Submodule.valFromGraph
 
 /- warning: submodule.val_from_graph_mem -> Submodule.valFromGraph_mem is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align submodule.val_from_graph_mem Submodule.valFromGraph_memₓ'. -/
 theorem valFromGraph_mem {g : Submodule R (E × F)}
     (hg : ∀ (x : E × F) (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0) {a : E}
@@ -1337,10 +1209,7 @@ noncomputable def toLinearPMap (g : Submodule R (E × F))
 #align submodule.to_linear_pmap Submodule.toLinearPMap
 
 /- warning: submodule.mem_graph_to_linear_pmap -> Submodule.mem_graph_toLinearPMap is a dubious translation:
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(AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) g)) x) (LinearPMap.toFun'.{u3, u1, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (Submodule.toLinearPMap.{u3, u1, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g hg) x)) g
+<too large>
 Case conversion may be inaccurate. Consider using '#align submodule.mem_graph_to_linear_pmap Submodule.mem_graph_toLinearPMapₓ'. -/
 theorem mem_graph_toLinearPMap (g : Submodule R (E × F))
     (hg : ∀ (x : E × F) (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0)

bump to nightly-2023-05-24-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/8d33f09cd7089ecf074b4791907588245aec5d1b

fbc7b476

Diff

@@ -68,7 +68,7 @@ instance : CoeFun (E →ₗ.[R] F) fun f : E →ₗ.[R] F => f.domain → F :=
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)), Eq.{succ u3} F (coeFn.{max (succ u2) (succ 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(Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (LinearPMap.toFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f x)
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))), Eq.{succ u1} ((fun 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+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))), Eq.{succ u1} ((fun 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_inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) F (Submodule.addCommMonoid.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) (Submodule.module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) _inst_5) (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) 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Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x 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 Case conversion may be inaccurate. Consider using '#align linear_pmap.to_fun_eq_coe LinearPMap.toFun_eq_coeₓ'. -/
 @[simp]
 theorem toFun_eq_coe (f : E →ₗ.[R] F) (x : f.domain) : f.toFun x = f x :=
@@ -175,7 +175,7 @@ theorem map_smul (f : E →ₗ.[R] F) (c : R) (x : f.domain) : f (c • x) = c 
 lean 3 declaration is
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E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) p) -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) p) F (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Submodule.addCommMonoid.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (Submodule.module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) f x)
 but is expected to have type
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+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (p : Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (f : LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E 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 Case conversion may be inaccurate. Consider using '#align linear_pmap.mk_apply LinearPMap.mk_applyₓ'. -/
 @[simp]
 theorem mk_apply (p : Submodule R E) (f : p →ₗ[R] F) (x : p) : mk p f x = f x :=
@@ -352,7 +352,7 @@ instance : LE (E →ₗ.[R] F) :=
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.apply_comp_of_le LinearPMap.apply_comp_ofLeₓ'. -/
 theorem apply_comp_ofLe {T S : E →ₗ.[R] F} (h : T ≤ S) (x : T.domain) :
     T x = S (Submodule.ofLe h.1 x) :=
@@ -416,7 +416,7 @@ instance : SemilatticeInf (E →ₗ.[R] F) where
   inf := (· ⊓ ·)
   le_inf := fun f g h ⟨fg_le, fg_eq⟩ ⟨fh_le, fh_eq⟩ =>
     ⟨fun x hx =>
-      ⟨fg_le hx, fh_le hx, by refine' (fg_eq _).symm.trans (fh_eq _) <;> [exact ⟨x, hx⟩, rfl, rfl]⟩,
+      ⟨fg_le hx, fh_le hx, by refine' (fg_eq _).symm.trans (fh_eq _) <;> [exact ⟨x, hx⟩;rfl;rfl]⟩,
       fun x ⟨y, yg, hy⟩ h => by
       apply fg_eq
       exact h⟩
@@ -660,7 +660,7 @@ theorem vadd_domain (f : E →ₗ[R] F) (g : E →ₗ.[R] F) : (f +ᵥ g).domain
 lean 3 declaration is
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 but is expected to have type
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=> F) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HVAdd.hVAdd.{max u2 u1, max u2 u1, max u2 u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHVAdd.{max u2 u1, max u2 u1} (LinearMap.{u3, u3, 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(HVAdd.hVAdd.{max u2 u1, max u2 u1, max u2 u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHVAdd.{max u2 u1, max u2 u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.vadd.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) f g)))) x)) (SubNegMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HVAdd.hVAdd.{max u2 u1, max u2 u1, max u2 u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHVAdd.{max u2 u1, max u2 u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.vadd.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) f g)))) x)) (AddGroup.toSubNegMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) 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u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) f g)))) x)) (AddCommGroup.toAddGroup.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HVAdd.hVAdd.{max u2 u1, max u2 u1, max u2 u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E 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(x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R E F (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) f (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HVAdd.hVAdd.{max u2 u1, max u2 u1, max u2 u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R 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 Case conversion may be inaccurate. Consider using '#align linear_pmap.vadd_apply LinearPMap.vadd_applyₓ'. -/
 theorem vadd_apply (f : E →ₗ[R] F) (g : E →ₗ.[R] F) (x : (f +ᵥ g).domain) :
     (f +ᵥ g) x = f x + g x :=
@@ -671,7 +671,7 @@ theorem vadd_apply (f : E →ₗ[R] F) (g : E →ₗ.[R] F) (x : (f +ᵥ g).doma
 lean 3 declaration is
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 but is expected to have type
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+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (g : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5), Eq.{max (succ u2) (succ u1)} ((Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} 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 Case conversion may be inaccurate. Consider using '#align linear_pmap.coe_vadd LinearPMap.coe_vaddₓ'. -/
 @[simp]
 theorem coe_vadd (f : E →ₗ[R] F) (g : E →ₗ.[R] F) : ⇑(f +ᵥ g) = f.comp g.domain.Subtype + g :=
@@ -821,7 +821,7 @@ def toPMap (f : E →ₗ[R] F) (p : Submodule R E) : E →ₗ.[R] F :=
 lean 3 declaration is
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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) p) E (coeSubtype.{succ u2} E (fun (x : E) => Membership.Mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p))))) x))
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (p : Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p)), Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearMap.toPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f p) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R E F (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) f (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) p)) x))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (p : Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p)), Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearMap.toPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f p) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R E F (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) f (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) p)) x))
 Case conversion may be inaccurate. Consider using '#align linear_map.to_pmap_apply LinearMap.toPMap_applyₓ'. -/
 @[simp]
 theorem toPMap_apply (f : E →ₗ[R] F) (p : Submodule R E) (x : p) : f.toPMap p x = f x :=
@@ -841,7 +841,7 @@ def compPMap (g : F →ₗ[R] G) (f : E →ₗ.[R] F) : E →ₗ.[R] G
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {G : Type.{u4}} [_inst_6 : AddCommGroup.{u4} G] [_inst_7 : Module.{u1, u4} R G (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u4} G _inst_6)] (g : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) F G (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u4} G _inst_6) _inst_5 _inst_7) (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u4} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7 (LinearMap.compPMap.{u1, u2, u3, u4} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 G _inst_6 _inst_7 g f))), Eq.{succ u4} G (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (LinearPMap.{u1, u2, u4} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7) (fun (f : LinearPMap.{u1, u2, u4} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u4} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7 f)) -> G) (LinearPMap.hasCoeToFun.{u1, u2, u4} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7) (LinearMap.compPMap.{u1, u2, u3, u4} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 G _inst_6 _inst_7 g f) x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) F G (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u4} G _inst_6) _inst_5 _inst_7) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) F G (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u4} G _inst_6) _inst_5 _inst_7) => F -> G) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R F G (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u4} G _inst_6) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) g (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f x))
 but is expected to have type
-  forall {R : Type.{u4}} [_inst_1 : Ring.{u4} R] {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u4, u3} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {G : Type.{u2}} [_inst_6 : AddCommGroup.{u2} G] [_inst_7 : Module.{u4, u2} R G (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6)] (g : LinearMap.{u4, u4, u3, u2} R R (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) F G (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6) _inst_5 _inst_7) (f : LinearPMap.{u4, u1, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.setLike.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u1, u2} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7 (LinearMap.compPMap.{u4, u1, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 G _inst_6 _inst_7 g f)))), Eq.{succ u2} G (LinearPMap.toFun'.{u4, u1, u2} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7 (LinearMap.compPMap.{u4, u1, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 G _inst_6 _inst_7 g f) x) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} R R (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) F G (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6) _inst_5 _inst_7) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => G) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} R R F G (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6) _inst_5 _inst_7 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1)))) g (LinearPMap.toFun'.{u4, u1, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
+  forall {R : Type.{u4}} [_inst_1 : Ring.{u4} R] {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u4, u3} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {G : Type.{u2}} [_inst_6 : AddCommGroup.{u2} G] [_inst_7 : Module.{u4, u2} R G (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6)] (g : LinearMap.{u4, u4, u3, u2} R R (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) F G (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6) _inst_5 _inst_7) (f : LinearPMap.{u4, u1, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.setLike.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u1, u2} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7 (LinearMap.compPMap.{u4, u1, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 G _inst_6 _inst_7 g f)))), Eq.{succ u2} G (LinearPMap.toFun'.{u4, u1, u2} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7 (LinearMap.compPMap.{u4, u1, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 G _inst_6 _inst_7 g f) x) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} R R (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) F G (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6) _inst_5 _inst_7) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => G) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} R R F G (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6) _inst_5 _inst_7 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1)))) g (LinearPMap.toFun'.{u4, u1, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
 Case conversion may be inaccurate. Consider using '#align linear_map.comp_pmap_apply LinearMap.compPMap_applyₓ'. -/
 @[simp]
 theorem compPMap_apply (g : F →ₗ[R] G) (f : E →ₗ.[R] F) (x) : g.compPMap f x = g (f x) :=

bump to nightly-2023-05-18-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/c89fe2d59ae06402c3f55f978016d1ada444f57e

b46e9d53

Diff

@@ -68,7 +68,7 @@ instance : CoeFun (E →ₗ.[R] F) fun f : E →ₗ.[R] F => f.domain → F :=
 lean 3 declaration is
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 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))), Eq.{succ u1} ((fun 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+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))), Eq.{succ u1} ((fun 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Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x 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 Case conversion may be inaccurate. Consider using '#align linear_pmap.to_fun_eq_coe LinearPMap.toFun_eq_coeₓ'. -/
 @[simp]
 theorem toFun_eq_coe (f : E →ₗ.[R] F) (x : f.domain) : f.toFun x = f x :=
@@ -175,7 +175,7 @@ theorem map_smul (f : E →ₗ.[R] F) (c : R) (x : f.domain) : f (c • x) = c 
 lean 3 declaration is
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E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) p) -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) p) F (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Submodule.addCommMonoid.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (Submodule.module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) f x)
 but is expected to have type
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+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (p : Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (f : LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E 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 Case conversion may be inaccurate. Consider using '#align linear_pmap.mk_apply LinearPMap.mk_applyₓ'. -/
 @[simp]
 theorem mk_apply (p : Submodule R E) (f : p →ₗ[R] F) (x : p) : mk p f x = f x :=
@@ -352,7 +352,7 @@ instance : LE (E →ₗ.[R] F) :=
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.apply_comp_of_le LinearPMap.apply_comp_ofLeₓ'. -/
 theorem apply_comp_ofLe {T S : E →ₗ.[R] F} (h : T ≤ S) (x : T.domain) :
     T x = S (Submodule.ofLe h.1 x) :=
@@ -660,7 +660,7 @@ theorem vadd_domain (f : E →ₗ[R] F) (g : E →ₗ.[R] F) : (f +ᵥ g).domain
 lean 3 declaration is
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 but is expected to have type
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+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (g : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E 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=> F) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HVAdd.hVAdd.{max u2 u1, max u2 u1, max u2 u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHVAdd.{max u2 u1, max u2 u1} (LinearMap.{u3, u3, 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(HVAdd.hVAdd.{max u2 u1, max u2 u1, max u2 u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHVAdd.{max u2 u1, max u2 u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.vadd.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) f g)))) x)) (SubNegMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HVAdd.hVAdd.{max u2 u1, max u2 u1, max u2 u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHVAdd.{max u2 u1, max u2 u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.vadd.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) f g)))) x)) (AddGroup.toSubNegMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) 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u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) f g)))) x)) (AddCommGroup.toAddGroup.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HVAdd.hVAdd.{max u2 u1, max u2 u1, max u2 u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E 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(x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R E F (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) f (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HVAdd.hVAdd.{max u2 u1, max u2 u1, max u2 u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R 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 Case conversion may be inaccurate. Consider using '#align linear_pmap.vadd_apply LinearPMap.vadd_applyₓ'. -/
 theorem vadd_apply (f : E →ₗ[R] F) (g : E →ₗ.[R] F) (x : (f +ᵥ g).domain) :
     (f +ᵥ g) x = f x + g x :=
@@ -671,7 +671,7 @@ theorem vadd_apply (f : E →ₗ[R] F) (g : E →ₗ.[R] F) (x : (f +ᵥ g).doma
 lean 3 declaration is
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 but is expected to have type
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+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (g : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5), Eq.{max (succ u2) (succ u1)} ((Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} 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 Case conversion may be inaccurate. Consider using '#align linear_pmap.coe_vadd LinearPMap.coe_vaddₓ'. -/
 @[simp]
 theorem coe_vadd (f : E →ₗ[R] F) (g : E →ₗ.[R] F) : ⇑(f +ᵥ g) = f.comp g.domain.Subtype + g :=
@@ -821,7 +821,7 @@ def toPMap (f : E →ₗ[R] F) (p : Submodule R E) : E →ₗ.[R] F :=
 lean 3 declaration is
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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) p) E (coeSubtype.{succ u2} E (fun (x : E) => Membership.Mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p))))) x))
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (p : Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p)), Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearMap.toPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f p) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R E F (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) f (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) p)) x))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (p : Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p)), Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearMap.toPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f p) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R E F (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) f (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) p)) x))
 Case conversion may be inaccurate. Consider using '#align linear_map.to_pmap_apply LinearMap.toPMap_applyₓ'. -/
 @[simp]
 theorem toPMap_apply (f : E →ₗ[R] F) (p : Submodule R E) (x : p) : f.toPMap p x = f x :=
@@ -841,7 +841,7 @@ def compPMap (g : F →ₗ[R] G) (f : E →ₗ.[R] F) : E →ₗ.[R] G
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {G : Type.{u4}} [_inst_6 : AddCommGroup.{u4} G] [_inst_7 : Module.{u1, u4} R G (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u4} G _inst_6)] (g : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) F G (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u4} G _inst_6) _inst_5 _inst_7) (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u4} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7 (LinearMap.compPMap.{u1, u2, u3, u4} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 G _inst_6 _inst_7 g f))), Eq.{succ u4} G (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (LinearPMap.{u1, u2, u4} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7) (fun (f : LinearPMap.{u1, u2, u4} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u4} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7 f)) -> G) (LinearPMap.hasCoeToFun.{u1, u2, u4} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7) (LinearMap.compPMap.{u1, u2, u3, u4} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 G _inst_6 _inst_7 g f) x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) F G (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u4} G _inst_6) _inst_5 _inst_7) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) F G (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u4} G _inst_6) _inst_5 _inst_7) => F -> G) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R F G (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u4} G _inst_6) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) g (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f x))
 but is expected to have type
-  forall {R : Type.{u4}} [_inst_1 : Ring.{u4} R] {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u4, u3} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {G : Type.{u2}} [_inst_6 : AddCommGroup.{u2} G] [_inst_7 : Module.{u4, u2} R G (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6)] (g : LinearMap.{u4, u4, u3, u2} R R (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) F G (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6) _inst_5 _inst_7) (f : LinearPMap.{u4, u1, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.setLike.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u1, u2} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7 (LinearMap.compPMap.{u4, u1, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 G _inst_6 _inst_7 g f)))), Eq.{succ u2} G (LinearPMap.toFun'.{u4, u1, u2} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7 (LinearMap.compPMap.{u4, u1, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 G _inst_6 _inst_7 g f) x) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} R R (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) F G (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6) _inst_5 _inst_7) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : F) => G) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} R R F G (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6) _inst_5 _inst_7 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1)))) g (LinearPMap.toFun'.{u4, u1, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
+  forall {R : Type.{u4}} [_inst_1 : Ring.{u4} R] {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u4, u3} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {G : Type.{u2}} [_inst_6 : AddCommGroup.{u2} G] [_inst_7 : Module.{u4, u2} R G (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6)] (g : LinearMap.{u4, u4, u3, u2} R R (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) F G (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6) _inst_5 _inst_7) (f : LinearPMap.{u4, u1, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.setLike.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u1, u2} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7 (LinearMap.compPMap.{u4, u1, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 G _inst_6 _inst_7 g f)))), Eq.{succ u2} G (LinearPMap.toFun'.{u4, u1, u2} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7 (LinearMap.compPMap.{u4, u1, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 G _inst_6 _inst_7 g f) x) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} R R (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) F G (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6) _inst_5 _inst_7) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => G) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} R R F G (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6) _inst_5 _inst_7 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1)))) g (LinearPMap.toFun'.{u4, u1, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
 Case conversion may be inaccurate. Consider using '#align linear_map.comp_pmap_apply LinearMap.compPMap_applyₓ'. -/
 @[simp]
 theorem compPMap_apply (g : F →ₗ[R] G) (f : E →ₗ.[R] F) (x) : g.compPMap f x = g (f x) :=
@@ -1005,7 +1005,7 @@ variable {M : Type _} [Monoid M] [DistribMulAction M F] [SMulCommClass R M F] (y
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {M : Type.{u4}} [_inst_8 : Monoid.{u4} M] [_inst_9 : DistribMulAction.{u4, u3} M F _inst_8 (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))] [_inst_10 : SMulCommClass.{u1, u4, u3} R M F (SMulZeroClass.toHasSmul.{u1, u3} R F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R F (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R F (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (Module.toMulActionWithZero.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5)))) (SMulZeroClass.toHasSmul.{u4, u3} M F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))))) (DistribSMul.toSmulZeroClass.{u4, u3} M F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))) (DistribMulAction.toDistribSMul.{u4, u3} M F _inst_8 (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))) _inst_9)))] (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (z : M), Eq.{succ (max u2 u3)} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (SMul.smul.{u4, max u2 u3} M (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u1, u2, u3, u4} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10) z f)) (Submodule.map.{u1, u1, max u2 u3, max u2 u3, max u2 u3} R R (Prod.{u2, u3} E F) (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (RingHomSurjective.ids.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (LinearMap.{u1, u1, max u2 u3, max u2 u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Prod.{u2, u3} E F) (Prod.{u2, u3} E F) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (LinearMap.semilinearMapClass.{u1, u1, max u2 u3, max u2 u3} R R (Prod.{u2, u3} E F) (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (LinearMap.prodMap.{u1, u2, u3, u2, u3} R E F E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5 _inst_3 _inst_5 (LinearMap.id.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SMul.smul.{u4, u3} M (LinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) F F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5 _inst_5) (LinearMap.hasSmul.{u1, u1, u4, u3, u3} R R M F F (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5 _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) _inst_8 _inst_9 _inst_10) z (LinearMap.id.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5))) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
 but is expected to have type
-  forall {R : Type.{u4}} [_inst_1 : Ring.{u4} R] {E : Type.{u3}} [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u4, u2} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] {M : Type.{u1}} [_inst_8 : Monoid.{u1} M] [_inst_9 : DistribMulAction.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))] [_inst_10 : SMulCommClass.{u4, u1, u2} R M F (SMulZeroClass.toSMul.{u4, u2} R F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u4, u2} R F (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (Ring.toSemiring.{u4} R _inst_1))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u4, u2} R F (Semiring.toMonoidWithZero.{u4} R (Ring.toSemiring.{u4} R _inst_1)) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (Module.toMulActionWithZero.{u4, u2} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_5)))) (SMulZeroClass.toSMul.{u1, u2} M F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (DistribSMul.toSMulZeroClass.{u1, u2} M F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))) (DistribMulAction.toDistribSMul.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4))) _inst_9)))] (f : LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (z : M), Eq.{max (succ u3) (succ u2)} (Submodule.{u4, max u2 u3} R (Prod.{u3, u2} E F) (Ring.toSemiring.{u4} R _inst_1) (Prod.instAddCommMonoidSum.{u3, u2} E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u4, u3, u2} R E F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (LinearPMap.graph.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HSMul.hSMul.{u1, max u3 u2, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHSMul.{u1, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u4, u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10)) z f)) (Submodule.map.{u4, u4, max u3 u2, max u3 u2, max u3 u2} R R (Prod.{u3, u2} E F) (Prod.{u3, u2} E F) (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (Prod.instAddCommMonoidSum.{u3, u2} E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.instAddCommMonoidSum.{u3, u2} E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u4, u3, u2} R E F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) (Prod.module.{u4, u3, u2} R E F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) (RingHomSurjective.ids.{u4} R (Ring.toSemiring.{u4} R _inst_1)) (LinearMap.{u4, u4, max u2 u3, max u2 u3} R R (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) (Prod.{u3, u2} E F) (Prod.{u3, u2} E F) (Prod.instAddCommMonoidSum.{u3, u2} E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.instAddCommMonoidSum.{u3, u2} E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u4, u3, u2} R E F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) (Prod.module.{u4, u3, u2} R E F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (LinearMap.instSemilinearMapClassLinearMap.{u4, u4, max u3 u2, max u3 u2} R R (Prod.{u3, u2} E F) (Prod.{u3, u2} E F) (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (Prod.instAddCommMonoidSum.{u3, u2} E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.instAddCommMonoidSum.{u3, u2} E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u4, u3, u2} R E F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) (Prod.module.{u4, u3, u2} R E F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1)))) (LinearMap.prodMap.{u4, u3, u2, u3, u2} R E F E F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5 _inst_3 _inst_5 (LinearMap.id.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (HSMul.hSMul.{u1, u2, u2} M (LinearMap.{u4, u4, u2, u2} R R (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) F F (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_5 _inst_5) (LinearMap.{u4, u4, u2, u2} R R (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) F F (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_5 _inst_5) (instHSMul.{u1, u2} M (LinearMap.{u4, u4, u2, u2} R R (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) F F (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_5 _inst_5) (LinearMap.instSMulLinearMap.{u4, u4, u1, u2, u2} R R M F F (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_5 _inst_5 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) _inst_8 _inst_9 _inst_10)) z (LinearMap.id.{u4, u2} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_5))) (LinearPMap.graph.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
+  forall {R : Type.{u4}} [_inst_1 : Ring.{u4} R] {E : Type.{u3}} [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u4, u2} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] {M : Type.{u1}} [_inst_8 : Monoid.{u1} M] [_inst_9 : DistribMulAction.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))] [_inst_10 : SMulCommClass.{u4, u1, u2} R M F (SMulZeroClass.toSMul.{u4, u2} R F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u4, u2} R F (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (Ring.toSemiring.{u4} R _inst_1))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u4, u2} R F (Semiring.toMonoidWithZero.{u4} R (Ring.toSemiring.{u4} R _inst_1)) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (Module.toMulActionWithZero.{u4, u2} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_5)))) (SMulZeroClass.toSMul.{u1, u2} M F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (DistribSMul.toSMulZeroClass.{u1, u2} M F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))) (DistribMulAction.toDistribSMul.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4))) _inst_9)))] (f : LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (z : M), Eq.{max (succ u3) (succ u2)} (Submodule.{u4, max u2 u3} R (Prod.{u3, u2} E F) (Ring.toSemiring.{u4} R _inst_1) (Prod.instAddCommMonoidSum.{u3, u2} E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u4, u3, u2} R E F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (LinearPMap.graph.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HSMul.hSMul.{u1, max u3 u2, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHSMul.{u1, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u4, u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10)) z f)) (Submodule.map.{u4, u4, max u3 u2, max u3 u2, max u3 u2} R R (Prod.{u3, u2} E F) (Prod.{u3, u2} E F) (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (Prod.instAddCommMonoidSum.{u3, u2} E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.instAddCommMonoidSum.{u3, u2} E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u4, u3, u2} R E F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) (Prod.module.{u4, u3, u2} R E F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) (RingHomSurjective.ids.{u4} R (Ring.toSemiring.{u4} R _inst_1)) (LinearMap.{u4, u4, max u2 u3, max u2 u3} R R (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) (Prod.{u3, u2} E F) (Prod.{u3, u2} E F) (Prod.instAddCommMonoidSum.{u3, u2} E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.instAddCommMonoidSum.{u3, u2} E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u4, u3, u2} R E F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) (Prod.module.{u4, u3, u2} R E F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (LinearMap.semilinearMapClass.{u4, u4, max u3 u2, max u3 u2} R R (Prod.{u3, u2} E F) (Prod.{u3, u2} E F) (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (Prod.instAddCommMonoidSum.{u3, u2} E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.instAddCommMonoidSum.{u3, u2} E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u4, u3, u2} R E F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) (Prod.module.{u4, u3, u2} R E F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1)))) (LinearMap.prodMap.{u4, u3, u2, u3, u2} R E F E F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5 _inst_3 _inst_5 (LinearMap.id.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (HSMul.hSMul.{u1, u2, u2} M (LinearMap.{u4, u4, u2, u2} R R (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) F F (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_5 _inst_5) (LinearMap.{u4, u4, u2, u2} R R (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) F F (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_5 _inst_5) (instHSMul.{u1, u2} M (LinearMap.{u4, u4, u2, u2} R R (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) F F (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_5 _inst_5) (LinearMap.instSMulLinearMap.{u4, u4, u1, u2, u2} R R M F F (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_5 _inst_5 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) _inst_8 _inst_9 _inst_10)) z (LinearMap.id.{u4, u2} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_5))) (LinearPMap.graph.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.smul_graph LinearPMap.smul_graphₓ'. -/
 /-- The graph of `z • f` as a pushforward. -/
 theorem smul_graph (f : E →ₗ.[R] F) (z : M) :
@@ -1038,7 +1038,7 @@ theorem smul_graph (f : E →ₗ.[R] F) (z : M) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5), Eq.{succ (max u2 u3)} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (Neg.neg.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.neg.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f)) (Submodule.map.{u1, u1, max u2 u3, max u2 u3, max u2 u3} R R (Prod.{u2, u3} E F) (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (RingHomSurjective.ids.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (LinearMap.{u1, u1, max u2 u3, max u2 u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Prod.{u2, u3} E F) (Prod.{u2, u3} E F) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (LinearMap.semilinearMapClass.{u1, u1, max u2 u3, max u2 u3} R R (Prod.{u2, u3} E F) (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (LinearMap.prodMap.{u1, u2, u3, u2, u3} R E F E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5 _inst_3 _inst_5 (LinearMap.id.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Neg.neg.{u3} (LinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) F F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5 _inst_5) (LinearMap.hasNeg.{u1, u1, u3, u3} R R F F (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_4 _inst_5 _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (LinearMap.id.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5))) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5), Eq.{max (succ u2) (succ u1)} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (Neg.neg.{max u2 u1} (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.neg.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f)) (Submodule.map.{u3, u3, max u2 u1, max u2 u1, max u2 u1} R R (Prod.{u2, u1} E F) (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (LinearMap.{u3, u3, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (Prod.{u2, u1} E F) (Prod.{u2, u1} E F) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (LinearMap.instSemilinearMapClassLinearMap.{u3, u3, max u2 u1, max u2 u1} R R (Prod.{u2, u1} E F) (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) (LinearMap.prodMap.{u3, u2, u1, u2, u1} R E F E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5 _inst_3 _inst_5 (LinearMap.id.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Neg.neg.{u1} (LinearMap.{u3, u3, u1, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) F F (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5 _inst_5) (LinearMap.instNegLinearMapToAddCommMonoid.{u3, u3, u1, u1} R R F F (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_4 _inst_5 _inst_5 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) (LinearMap.id.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5))) (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5), Eq.{max (succ u2) (succ u1)} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (Neg.neg.{max u2 u1} (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.neg.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f)) (Submodule.map.{u3, u3, max u2 u1, max u2 u1, max u2 u1} R R (Prod.{u2, u1} E F) (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (LinearMap.{u3, u3, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (Prod.{u2, u1} E F) (Prod.{u2, u1} E F) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (LinearMap.semilinearMapClass.{u3, u3, max u2 u1, max u2 u1} R R (Prod.{u2, u1} E F) (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) (LinearMap.prodMap.{u3, u2, u1, u2, u1} R E F E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5 _inst_3 _inst_5 (LinearMap.id.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Neg.neg.{u1} (LinearMap.{u3, u3, u1, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) F F (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5 _inst_5) (LinearMap.instNegLinearMapToAddCommMonoid.{u3, u3, u1, u1} R R F F (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_4 _inst_5 _inst_5 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) (LinearMap.id.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5))) (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.neg_graph LinearPMap.neg_graphₓ'. -/
 /-- The graph of `-f` as a pushforward. -/
 theorem neg_graph (f : E →ₗ.[R] F) :
@@ -1266,7 +1266,7 @@ section SubmoduleToLinearPmap
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {g : Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)}, (forall {x : Prod.{u2, u3} E F}, (Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u2} E (Prod.fst.{u2, u3} E F x) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))))))) -> (Eq.{succ u3} F (Prod.snd.{u2, u3} E F x) (OfNat.ofNat.{u3} F 0 (OfNat.mk.{u3} F 0 (Zero.zero.{u3} F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))))))))) -> (forall {a : E}, (Membership.Mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) a (Submodule.map.{u1, u1, max u2 u3, u2, max u2 u3} R R (Prod.{u2, u3} E F) E (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (RingHomSurjective.ids.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (LinearMap.{u1, u1, max u2 u3, u2} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Prod.{u2, u3} E F) E (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.semilinearMapClass.{u1, u1, max u2 u3, u2} R R (Prod.{u2, u3} E F) E (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (LinearMap.fst.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) g)) -> (ExistsUnique.{succ u3} F (fun (b : F) => Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u3} E F a b) g)))
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u3, u2} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] {g : Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)}, (forall {x : Prod.{u1, u2} E F}, (Membership.mem.{max u1 u2, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.setLike.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u1} E (Prod.fst.{u1, u2} E F x) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2)))))))) -> (Eq.{succ u2} F (Prod.snd.{u1, u2} E F x) (OfNat.ofNat.{u2} F 0 (Zero.toOfNat0.{u2} F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))))))) -> (forall {a : E}, (Membership.mem.{u1, u1} E (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) a (Submodule.map.{u3, u3, max u1 u2, u1, max u1 u2} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (LinearMap.{u3, u3, max u2 u1, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (Prod.{u1, u2} E F) E (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.instSemilinearMapClassLinearMap.{u3, u3, max u1 u2, u1} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) (LinearMap.fst.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) g)) -> (ExistsUnique.{succ u2} F (fun (b : F) => Membership.mem.{max u2 u1, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.setLike.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u1, u2} E F a b) g)))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u3, u2} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] {g : Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)}, (forall {x : Prod.{u1, u2} E F}, (Membership.mem.{max u1 u2, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.setLike.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u1} E (Prod.fst.{u1, u2} E F x) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2)))))))) -> (Eq.{succ u2} F (Prod.snd.{u1, u2} E F x) (OfNat.ofNat.{u2} F 0 (Zero.toOfNat0.{u2} F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))))))) -> (forall {a : E}, (Membership.mem.{u1, u1} E (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) a (Submodule.map.{u3, u3, max u1 u2, u1, max u1 u2} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (LinearMap.{u3, u3, max u2 u1, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (Prod.{u1, u2} E F) E (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.semilinearMapClass.{u3, u3, max u1 u2, u1} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) (LinearMap.fst.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) g)) -> (ExistsUnique.{succ u2} F (fun (b : F) => Membership.mem.{max u2 u1, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.setLike.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u1, u2} E F a b) g)))
 Case conversion may be inaccurate. Consider using '#align submodule.exists_unique_from_graph Submodule.existsUnique_from_graphₓ'. -/
 theorem existsUnique_from_graph {g : Submodule R (E × F)}
     (hg : ∀ {x : E × F} (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0) {a : E}
@@ -1286,7 +1286,7 @@ theorem existsUnique_from_graph {g : Submodule R (E × F)}
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {g : Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)}, (forall (x : Prod.{u2, u3} E F), (Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u2} E (Prod.fst.{u2, u3} E F x) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))))))) -> (Eq.{succ u3} F (Prod.snd.{u2, u3} E F x) (OfNat.ofNat.{u3} F 0 (OfNat.mk.{u3} F 0 (Zero.zero.{u3} F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))))))))) -> (forall {a : E}, (Membership.Mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) a (Submodule.map.{u1, u1, max u2 u3, u2, max u2 u3} R R (Prod.{u2, u3} E F) E (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Submodule.valFromGraph._proof_1.{u1} R _inst_1) (LinearMap.{u1, u1, max u2 u3, u2} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Prod.{u2, u3} E F) E (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.semilinearMapClass.{u1, u1, max u2 u3, u2} R R (Prod.{u2, u3} E F) E (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (LinearMap.fst.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) g)) -> F)
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {g : Submodule.{u1, max u3 u2} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)}, (forall (x : Prod.{u2, u3} E F), (Membership.mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u3 u2} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u3, max u2 u3} (Submodule.{u1, max u3 u2} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u2} E (Prod.fst.{u2, u3} E F x) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2)))))))) -> (Eq.{succ u3} F (Prod.snd.{u2, u3} E F x) (OfNat.ofNat.{u3} F 0 (Zero.toOfNat0.{u3} F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_4))))))))) -> (forall {a : E}, (Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) a (Submodule.map.{u1, u1, max u2 u3, u2, max u2 u3} R R (Prod.{u2, u3} E F) E (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (RingHomSurjective.ids.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (LinearMap.{u1, u1, max u3 u2, u2} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Prod.{u2, u3} E F) E (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, max u2 u3, u2} R R (Prod.{u2, u3} E F) E (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (LinearMap.fst.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) g)) -> F)
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {g : Submodule.{u1, max u3 u2} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)}, (forall (x : Prod.{u2, u3} E F), (Membership.mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u3 u2} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u3, max u2 u3} (Submodule.{u1, max u3 u2} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u2} E (Prod.fst.{u2, u3} E F x) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2)))))))) -> (Eq.{succ u3} F (Prod.snd.{u2, u3} E F x) (OfNat.ofNat.{u3} F 0 (Zero.toOfNat0.{u3} F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_4))))))))) -> (forall {a : E}, (Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) a (Submodule.map.{u1, u1, max u2 u3, u2, max u2 u3} R R (Prod.{u2, u3} E F) E (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (RingHomSurjective.ids.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (LinearMap.{u1, u1, max u3 u2, u2} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Prod.{u2, u3} E F) E (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.semilinearMapClass.{u1, u1, max u2 u3, u2} R R (Prod.{u2, u3} E F) E (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (LinearMap.fst.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) g)) -> F)
 Case conversion may be inaccurate. Consider using '#align submodule.val_from_graph Submodule.valFromGraphₓ'. -/
 /-- Auxiliary definition to unfold the existential quantifier. -/
 noncomputable def valFromGraph {g : Submodule R (E × F)}
@@ -1299,7 +1299,7 @@ noncomputable def valFromGraph {g : Submodule R (E × F)}
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {g : Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)} (hg : forall (x : Prod.{u2, u3} E F), (Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u2} E (Prod.fst.{u2, u3} E F x) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))))))) -> (Eq.{succ u3} F (Prod.snd.{u2, u3} E F x) (OfNat.ofNat.{u3} F 0 (OfNat.mk.{u3} F 0 (Zero.zero.{u3} F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))))))))) {a : E} (ha : Membership.Mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) a (Submodule.map.{u1, u1, max u2 u3, u2, max u2 u3} R R (Prod.{u2, u3} E F) E (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (RingHomSurjective.ids.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (LinearMap.{u1, u1, max u2 u3, u2} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Prod.{u2, u3} E F) E (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.semilinearMapClass.{u1, u1, max u2 u3, u2} R R (Prod.{u2, u3} E F) E (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (LinearMap.fst.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) g)), Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u3} E F a (Submodule.valFromGraph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g hg a ha)) g
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u3, u2} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] {g : Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)} (hg : forall (x : Prod.{u1, u2} E F), (Membership.mem.{max u1 u2, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.setLike.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u1} E (Prod.fst.{u1, u2} E F x) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2)))))))) -> (Eq.{succ u2} F (Prod.snd.{u1, u2} E F x) (OfNat.ofNat.{u2} F 0 (Zero.toOfNat0.{u2} F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))))))) {a : E} (ha : Membership.mem.{u1, u1} E (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) a (Submodule.map.{u3, u3, max u1 u2, u1, max u1 u2} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (LinearMap.{u3, u3, max u2 u1, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (Prod.{u1, u2} E F) E (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.instSemilinearMapClassLinearMap.{u3, u3, max u1 u2, u1} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) (LinearMap.fst.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) g)), Membership.mem.{max u2 u1, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.setLike.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u1, u2} E F a (Submodule.valFromGraph.{u3, u1, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g hg a ha)) g
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u3, u2} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] {g : Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)} (hg : forall (x : Prod.{u1, u2} E F), (Membership.mem.{max u1 u2, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.setLike.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u1} E (Prod.fst.{u1, u2} E F x) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2)))))))) -> (Eq.{succ u2} F (Prod.snd.{u1, u2} E F x) (OfNat.ofNat.{u2} F 0 (Zero.toOfNat0.{u2} F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))))))) {a : E} (ha : Membership.mem.{u1, u1} E (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) a (Submodule.map.{u3, u3, max u1 u2, u1, max u1 u2} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (LinearMap.{u3, u3, max u2 u1, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R 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(Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) (LinearMap.fst.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) g)), Membership.mem.{max u2 u1, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.setLike.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u1, u2} E F a (Submodule.valFromGraph.{u3, u1, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g hg a ha)) g
 Case conversion may be inaccurate. Consider using '#align submodule.val_from_graph_mem Submodule.valFromGraph_memₓ'. -/
 theorem valFromGraph_mem {g : Submodule R (E × F)}
     (hg : ∀ (x : E × F) (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0) {a : E}
@@ -1340,7 +1340,7 @@ noncomputable def toLinearPMap (g : Submodule R (E × F))
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (g : Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (hg : forall (x : Prod.{u2, u3} E F), (Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u2} E (Prod.fst.{u2, u3} E F x) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))))))) -> (Eq.{succ u3} F (Prod.snd.{u2, u3} E F x) (OfNat.ofNat.{u3} F 0 (OfNat.mk.{u3} F 0 (Zero.zero.{u3} F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))))))))) (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E 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_inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (Submodule.toLinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g hg) x)) g
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u3, u2} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] (g : Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (hg : forall (x : Prod.{u1, u2} E F), (Membership.mem.{max u1 u2, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.setLike.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u1} E (Prod.fst.{u1, u2} E F x) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2)))))))) -> (Eq.{succ u2} F (Prod.snd.{u1, u2} E F x) (OfNat.ofNat.{u2} F 0 (Zero.toOfNat0.{u2} F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))))))) (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) x (Submodule.map.{u3, u3, max u1 u2, u1, max u1 u2} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (LinearMap.{u3, u3, max u2 u1, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (Prod.{u1, u2} E F) E (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.instSemilinearMapClassLinearMap.{u3, u3, max u1 u2, u1} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) (LinearMap.fst.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) g))), Membership.mem.{max u2 u1, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.setLike.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u1, u2} E F (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) x (Submodule.map.{u3, u3, max u1 u2, u1, max u1 u2} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (LinearMap.{u3, u3, max u2 u1, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (Prod.{u1, u2} E F) E (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.instSemilinearMapClassLinearMap.{u3, u3, max u1 u2, u1} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) (LinearMap.fst.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) g)) x) (LinearPMap.toFun'.{u3, u1, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (Submodule.toLinearPMap.{u3, u1, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g hg) x)) g
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u3, u2} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] (g : Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (hg : forall (x : Prod.{u1, u2} E F), (Membership.mem.{max u1 u2, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.setLike.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u1} E (Prod.fst.{u1, u2} E F x) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2)))))))) -> (Eq.{succ u2} F (Prod.snd.{u1, u2} E F x) (OfNat.ofNat.{u2} F 0 (Zero.toOfNat0.{u2} F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))))))) (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) x (Submodule.map.{u3, u3, max u1 u2, u1, max u1 u2} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (LinearMap.{u3, u3, max u2 u1, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (Prod.{u1, u2} E F) E (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.semilinearMapClass.{u3, u3, max u1 u2, u1} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) (LinearMap.fst.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) g))), Membership.mem.{max u2 u1, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.setLike.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u1, u2} E F (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) x (Submodule.map.{u3, u3, max u1 u2, u1, max u1 u2} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (LinearMap.{u3, u3, max u2 u1, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (Prod.{u1, u2} E F) E (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.semilinearMapClass.{u3, u3, max u1 u2, u1} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) (LinearMap.fst.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) g)) x) (LinearPMap.toFun'.{u3, u1, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (Submodule.toLinearPMap.{u3, u1, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g hg) x)) g
 Case conversion may be inaccurate. Consider using '#align submodule.mem_graph_to_linear_pmap Submodule.mem_graph_toLinearPMapₓ'. -/
 theorem mem_graph_toLinearPMap (g : Submodule R (E × F))
     (hg : ∀ (x : E × F) (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0)

bump to nightly-2023-05-16-22

mathlib commit https://github.com/leanprover-community/mathlib/commit/0b9eaaa7686280fad8cce467f5c3c57ee6ce77f8

00d01a10

Diff

@@ -165,7 +165,7 @@ theorem map_sub (f : E →ₗ.[R] F) (x y : f.domain) : f (x - y) = f x - f y :=
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (c : R) (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)), Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f (SMul.smul.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (Submodule.smul.{u1, u1, u2} R R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (Mul.toSMul.{u1} R (MulOneClass.toHasMul.{u1} R (Monoid.toMulOneClass.{u1} R (Ring.toMonoid.{u1} R _inst_1)))) (MulAction.toHasSmul.{u1, u2} R E (Ring.toMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))) (IsScalarTower.left.{u1, u2} R E (Ring.toMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) c x)) (SMul.smul.{u1, u3} R F (SMulZeroClass.toHasSmul.{u1, u3} R F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R F (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R F (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (Module.toMulActionWithZero.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5)))) c (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f x))
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (c : R) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))), Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (HSMul.hSMul.{u3, u2, u2} R (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (instHSMul.{u3, u2} R (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (Submodule.smul.{u3, u3, u2} R R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (SMulZeroClass.toSMul.{u3, u3} R R (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (SMulWithZero.toSMulZeroClass.{u3, u3} R R (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (MulZeroClass.toSMulWithZero.{u3} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} R (NonUnitalRing.toNonUnitalNonAssocRing.{u3} R (Ring.toNonUnitalRing.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u2} R E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} R E (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} R E (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (IsScalarTower.left.{u3, u2} R E (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (MulActionWithZero.toMulAction.{u3, u2} R E (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) c x)) (HSMul.hSMul.{u3, u1, u1} R F F (instHSMul.{u3, u1} R F (SMulZeroClass.toSMul.{u3, u1} R F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u1} R F (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u1} R F (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (Module.toMulActionWithZero.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5))))) c (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (c : R) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))), Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (HSMul.hSMul.{u3, u2, u2} R (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (instHSMul.{u3, u2} R (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (Submodule.smul.{u3, u3, u2} R R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (SMulZeroClass.toSMul.{u3, u3} R R (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (SMulWithZero.toSMulZeroClass.{u3, u3} R R (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (MulZeroClass.toSMulWithZero.{u3} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} R (NonAssocRing.toNonUnitalNonAssocRing.{u3} R (Ring.toNonAssocRing.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u2} R E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} R E (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} R E (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (IsScalarTower.left.{u3, u2} R E (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (MulActionWithZero.toMulAction.{u3, u2} R E (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) c x)) (HSMul.hSMul.{u3, u1, u1} R F F (instHSMul.{u3, u1} R F (SMulZeroClass.toSMul.{u3, u1} R F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u1} R F (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u1} R F (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (Module.toMulActionWithZero.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5))))) c (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.map_smul LinearPMap.map_smulₓ'. -/
 theorem map_smul (f : E →ₗ.[R] F) (c : R) (x : f.domain) : f (c • x) = c • f x :=
   f.toFun.map_smul c x
@@ -618,7 +618,7 @@ theorem smul_apply (a : M) (f : E →ₗ.[R] F) (x : (a • f).domain) : (a •
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {M : Type.{u4}} [_inst_8 : Monoid.{u4} M] [_inst_9 : DistribMulAction.{u4, u3} M F _inst_8 (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))] [_inst_10 : SMulCommClass.{u1, u4, u3} R M F (SMulZeroClass.toHasSmul.{u1, u3} R F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R F (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R F (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (Module.toMulActionWithZero.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5)))) (SMulZeroClass.toHasSmul.{u4, u3} M F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))))) (DistribSMul.toSmulZeroClass.{u4, u3} M F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))) (DistribMulAction.toDistribSMul.{u4, u3} M F _inst_8 (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))) _inst_9)))] (a : M) (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5), Eq.{succ (max u2 u3)} ((coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (SMul.smul.{u4, max u2 u3} M (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u1, u2, u3, u4} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10) a f))) -> F) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (SMul.smul.{u4, max u2 u3} M (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u1, u2, u3, u4} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10) a f)) (SMul.smul.{u4, max u2 u3} M ((coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (SMul.smul.{u4, max u2 u3} M (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u1, u2, u3, u4} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10) a f))) -> F) (Function.hasSMul.{u2, u4, u3} (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (SMul.smul.{u4, max u2 u3} M (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u1, u2, u3, u4} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10) a f))) M F (SMulZeroClass.toHasSmul.{u4, u3} M F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))))) (DistribSMul.toSmulZeroClass.{u4, u3} M F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))) (DistribMulAction.toDistribSMul.{u4, u3} M F _inst_8 (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))) _inst_9)))) a (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f))
 but is expected to have type
-  forall {R : Type.{u4}} [_inst_1 : Ring.{u4} R] {E : Type.{u3}} [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u4, u2} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] {M : Type.{u1}} [_inst_8 : Monoid.{u1} M] [_inst_9 : DistribMulAction.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))] [_inst_10 : SMulCommClass.{u4, u1, u2} R M F (SMulZeroClass.toSMul.{u4, u2} R F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u4, u2} R F (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (Ring.toSemiring.{u4} R _inst_1))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u4, u2} R F (Semiring.toMonoidWithZero.{u4} R (Ring.toSemiring.{u4} R _inst_1)) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (Module.toMulActionWithZero.{u4, u2} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_5)))) (SMulZeroClass.toSMul.{u1, u2} M F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (DistribSMul.toSMulZeroClass.{u1, u2} M F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))) (DistribMulAction.toDistribSMul.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4))) _inst_9)))] (a : M) (f : LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5), Eq.{max (succ u3) (succ u2)} ((Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.setLike.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HSMul.hSMul.{u1, max u3 u2, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHSMul.{u1, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u4, u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10)) a f)))) -> F) (LinearPMap.toFun'.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HSMul.hSMul.{u1, max u3 u2, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHSMul.{u1, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u4, u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10)) a f)) (HSMul.hSMul.{u1, max u3 u2, max u3 u2} M ((Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.setLike.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) -> F) ((Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.setLike.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) -> F) (instHSMul.{u1, max u3 u2} M ((Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.setLike.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) -> F) (Pi.instSMul.{u3, u2, u1} (Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.setLike.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) M (fun (a._@.Mathlib.LinearAlgebra.LinearPMap._hyg.808 : Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.setLike.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) => F) (fun (i : Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.setLike.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) => SMulZeroClass.toSMul.{u1, u2} M F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (DistribSMul.toSMulZeroClass.{u1, u2} M F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))) (DistribMulAction.toDistribSMul.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4))) _inst_9))))) a (LinearPMap.toFun'.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
+  forall {R : Type.{u4}} [_inst_1 : Ring.{u4} R] {E : Type.{u3}} [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u4, u2} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] {M : Type.{u1}} [_inst_8 : Monoid.{u1} M] [_inst_9 : DistribMulAction.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))] [_inst_10 : SMulCommClass.{u4, u1, u2} R M F (SMulZeroClass.toSMul.{u4, u2} R F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u4, u2} R F (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (Ring.toSemiring.{u4} R _inst_1))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u4, u2} R F (Semiring.toMonoidWithZero.{u4} R (Ring.toSemiring.{u4} R _inst_1)) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (Module.toMulActionWithZero.{u4, u2} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_5)))) (SMulZeroClass.toSMul.{u1, u2} M F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (DistribSMul.toSMulZeroClass.{u1, u2} M F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))) (DistribMulAction.toDistribSMul.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4))) _inst_9)))] (a : M) (f : LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5), Eq.{max (succ u3) (succ u2)} ((Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.setLike.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HSMul.hSMul.{u1, max u3 u2, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHSMul.{u1, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u4, u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10)) a f)))) -> F) (LinearPMap.toFun'.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HSMul.hSMul.{u1, max u3 u2, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHSMul.{u1, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u4, u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10)) a f)) (HSMul.hSMul.{u1, max u3 u2, max u3 u2} M ((Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} 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((Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.setLike.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) -> F) (Pi.instSMul.{u3, u2, u1} (Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.setLike.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) M (fun (a._@.Mathlib.LinearAlgebra.LinearPMap._hyg.807 : Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.setLike.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) => F) (fun (i : Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.setLike.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) => SMulZeroClass.toSMul.{u1, u2} M F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (DistribSMul.toSMulZeroClass.{u1, u2} M F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))) (DistribMulAction.toDistribSMul.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4))) _inst_9))))) a (LinearPMap.toFun'.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.coe_smul LinearPMap.coe_smulₓ'. -/
 @[simp]
 theorem coe_smul (a : M) (f : E →ₗ.[R] F) : ⇑(a • f) = a • f :=
@@ -795,7 +795,7 @@ protected theorem sSup_le {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·
 lean 3 declaration is
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_inst_4 _inst_5)) (Set.hasMem.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) l c) (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l)), Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) 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+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {c : Set.{max u3 u2} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)} (hc : DirectedOn.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.11410 : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.11412 : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => LE.le.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.11410 x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.11412) c) {l : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} (hl : Membership.mem.{max u2 u3, max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (Set.{max u3 u2} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) (Set.instMembershipSet.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) l c) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 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 Case conversion may be inaccurate. Consider using '#align linear_pmap.Sup_apply LinearPMap.sSup_applyₓ'. -/
 protected theorem sSup_apply {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {l : E →ₗ.[R] F}
     (hl : l ∈ c) (x : l.domain) :

bump to nightly-2023-05-16-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/0b9eaaa7686280fad8cce467f5c3c57ee6ce77f8

9cb92e8c

Diff

@@ -350,7 +350,7 @@ instance : LE (E →ₗ.[R] F) :=
 
 /- warning: linear_pmap.apply_comp_of_le -> LinearPMap.apply_comp_ofLe is a dubious translation:
 lean 3 declaration is
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(Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 T))) => Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S))) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u2} R R (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} 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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 T)) (Submodule.addCommMonoid.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S)) (Submodule.module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 T)) (Submodule.module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) (Submodule.ofLe.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 T) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S) (And.left (LE.le.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.completeLattice.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 T) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S)) (forall {{x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 T))}} {{y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S))}}, (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 T))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S))) y)) -> (Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 T x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S y))) h)) x))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.apply_comp_of_le LinearPMap.apply_comp_ofLeₓ'. -/
@@ -434,7 +434,7 @@ instance : OrderBot (E →ₗ.[R] F) where
 
 /- warning: linear_pmap.le_of_eq_locus_ge -> LinearPMap.le_of_eqLocus_ge is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {g : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5}, (LE.le.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.eqLocus.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f g)) -> (LE.le.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f g)
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {g : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5}, (LE.le.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Preorder.toHasLe.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.eqLocus.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f g)) -> (LE.le.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f g)
 but is expected to have type
   forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] {f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {g : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5}, (LE.le.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.completeLattice.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.eqLocus.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f g)) -> (LE.le.{max u2 u1} (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f g)
 Case conversion may be inaccurate. Consider using '#align linear_pmap.le_of_eq_locus_ge LinearPMap.le_of_eqLocus_geₓ'. -/
@@ -793,7 +793,7 @@ protected theorem sSup_le {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·
 
 /- warning: linear_pmap.Sup_apply -> LinearPMap.sSup_apply is a dubious translation:
 lean 3 declaration is
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_inst_3) (Submodule.completeLattice.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.sSup.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc))) (forall {{x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))}} {{y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.sSup.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc)))}}, (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.sSup.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc)))) y)) -> (Eq.{succ u3} F (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l x) (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.sSup.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc) y))) (LinearPMap.le_sSup.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc l hl) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))) x) (Subtype.property.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l)) x)))) (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l x)
 Case conversion may be inaccurate. Consider using '#align linear_pmap.Sup_apply LinearPMap.sSup_applyₓ'. -/
@@ -1191,7 +1191,7 @@ theorem mem_domain_iff_of_eq_graph {f g : E →ₗ.[R] F} (h : f.graph = g.graph
 
 /- warning: linear_pmap.le_of_le_graph -> LinearPMap.le_of_le_graph is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {g : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5}, (LE.le.{max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Preorder.toLE.{max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (PartialOrder.toPreorder.{max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.partialOrder.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))))) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)) -> (LE.le.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f g)
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {g : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5}, (LE.le.{max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Preorder.toHasLe.{max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (PartialOrder.toPreorder.{max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.partialOrder.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))))) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)) -> (LE.le.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f g)
 but is expected to have type
   forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] {f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {g : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5}, (LE.le.{max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Preorder.toLE.{max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (PartialOrder.toPreorder.{max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Submodule.completeLattice.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)))))) (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)) -> (LE.le.{max u2 u1} (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f g)
 Case conversion may be inaccurate. Consider using '#align linear_pmap.le_of_le_graph LinearPMap.le_of_le_graphₓ'. -/
@@ -1214,7 +1214,7 @@ theorem le_of_le_graph {f g : E →ₗ.[R] F} (h : f.graph ≤ g.graph) : f ≤
 
 /- warning: linear_pmap.le_graph_of_le -> LinearPMap.le_graph_of_le is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {g : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5}, (LE.le.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f g) -> (LE.le.{max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Preorder.toLE.{max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (PartialOrder.toPreorder.{max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.partialOrder.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))))) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {g : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5}, (LE.le.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f g) -> (LE.le.{max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Preorder.toHasLe.{max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (PartialOrder.toPreorder.{max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.partialOrder.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))))) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))
 but is expected to have type
   forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] {f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {g : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5}, (LE.le.{max u2 u1} (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f g) -> (LE.le.{max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Preorder.toLE.{max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (PartialOrder.toPreorder.{max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Submodule.completeLattice.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)))))) (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.le_graph_of_le LinearPMap.le_graph_of_leₓ'. -/
@@ -1233,7 +1233,7 @@ theorem le_graph_of_le {f g : E →ₗ.[R] F} (h : f ≤ g) : f.graph ≤ g.grap
 
 /- warning: linear_pmap.le_graph_iff -> LinearPMap.le_graph_iff is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {g : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5}, Iff (LE.le.{max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Preorder.toLE.{max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (PartialOrder.toPreorder.{max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.partialOrder.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))))) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)) (LE.le.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f g)
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {g : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5}, Iff (LE.le.{max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Preorder.toHasLe.{max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (PartialOrder.toPreorder.{max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.partialOrder.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))))) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)) (LE.le.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f g)
 but is expected to have type
   forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] {f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {g : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5}, Iff (LE.le.{max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Preorder.toLE.{max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (PartialOrder.toPreorder.{max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Submodule.completeLattice.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)))))) (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)) (LE.le.{max u2 u1} (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f g)
 Case conversion may be inaccurate. Consider using '#align linear_pmap.le_graph_iff LinearPMap.le_graph_iffₓ'. -/

bump to nightly-2023-05-14-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/e3fb84046afd187b710170887195d50bada934ee

d31da313

Diff

@@ -732,7 +732,7 @@ theorem supSpanSingleton_apply_mk (f : E →ₗ.[K] F) (x : E) (y : F) (hx : x 
 end
 
 private theorem Sup_aux (c : Set (E →ₗ.[R] F)) (hc : DirectedOn (· ≤ ·) c) :
-    ∃ f : ↥(supₛ (domain '' c)) →ₗ[R] F, (⟨_, f⟩ : E →ₗ.[R] F) ∈ upperBounds c :=
+    ∃ f : ↥(sSup (domain '' c)) →ₗ[R] F, (⟨_, f⟩ : E →ₗ.[R] F) ∈ upperBounds c :=
   by
   cases' c.eq_empty_or_nonempty with ceq cne
   · subst c
@@ -761,50 +761,50 @@ private theorem Sup_aux (c : Set (E →ₗ.[R] F)) (hc : DirectedOn (· ≤ ·)
   · intro c x
     simp [f_eq (P x).1 (c • x) (c • ⟨x, (P x).2⟩) rfl, ← map_smul]
   · intro p hpc
-    refine' ⟨le_supₛ <| mem_image_of_mem domain hpc, fun x y hxy => Eq.symm _⟩
+    refine' ⟨le_sSup <| mem_image_of_mem domain hpc, fun x y hxy => Eq.symm _⟩
     exact f_eq ⟨p, hpc⟩ _ _ hxy.symm
 #align linear_pmap.Sup_aux linear_pmap.Sup_aux
 
-#print LinearPMap.supₛ /-
+#print LinearPMap.sSup /-
 /-- Glue a collection of partially defined linear maps to a linear map defined on `Sup`
 of these submodules. -/
-protected noncomputable def supₛ (c : Set (E →ₗ.[R] F)) (hc : DirectedOn (· ≤ ·) c) : E →ₗ.[R] F :=
-  ⟨_, Classical.choose <| supₛ_aux c hc⟩
-#align linear_pmap.Sup LinearPMap.supₛ
+protected noncomputable def sSup (c : Set (E →ₗ.[R] F)) (hc : DirectedOn (· ≤ ·) c) : E →ₗ.[R] F :=
+  ⟨_, Classical.choose <| sSup_aux c hc⟩
+#align linear_pmap.Sup LinearPMap.sSup
 -/
 
-#print LinearPMap.le_supₛ /-
-protected theorem le_supₛ {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {f : E →ₗ.[R] F}
-    (hf : f ∈ c) : f ≤ LinearPMap.supₛ c hc :=
-  Classical.choose_spec (supₛ_aux c hc) hf
-#align linear_pmap.le_Sup LinearPMap.le_supₛ
+#print LinearPMap.le_sSup /-
+protected theorem le_sSup {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {f : E →ₗ.[R] F}
+    (hf : f ∈ c) : f ≤ LinearPMap.sSup c hc :=
+  Classical.choose_spec (sSup_aux c hc) hf
+#align linear_pmap.le_Sup LinearPMap.le_sSup
 -/
 
-#print LinearPMap.supₛ_le /-
-protected theorem supₛ_le {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {g : E →ₗ.[R] F}
-    (hg : ∀ f ∈ c, f ≤ g) : LinearPMap.supₛ c hc ≤ g :=
+#print LinearPMap.sSup_le /-
+protected theorem sSup_le {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {g : E →ₗ.[R] F}
+    (hg : ∀ f ∈ c, f ≤ g) : LinearPMap.sSup c hc ≤ g :=
   le_of_eqLocus_ge <|
-    supₛ_le fun _ ⟨f, hf, Eq⟩ =>
+    sSup_le fun _ ⟨f, hf, Eq⟩ =>
       Eq ▸
-        have : f ≤ LinearPMap.supₛ c hc ⊓ g := le_inf (LinearPMap.le_supₛ _ hf) (hg f hf)
+        have : f ≤ LinearPMap.sSup c hc ⊓ g := le_inf (LinearPMap.le_sSup _ hf) (hg f hf)
         this.1
-#align linear_pmap.Sup_le LinearPMap.supₛ_le
+#align linear_pmap.Sup_le LinearPMap.sSup_le
 -/
 
-/- warning: linear_pmap.Sup_apply -> LinearPMap.supₛ_apply is a dubious translation:
+/- warning: linear_pmap.Sup_apply -> LinearPMap.sSup_apply is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align linear_pmap.Sup_apply LinearPMap.supₛ_applyₓ'. -/
-protected theorem supₛ_apply {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {l : E →ₗ.[R] F}
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {c : Set.{max u3 u2} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)} (hc : DirectedOn.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.11411 : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.11413 : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => LE.le.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.11411 x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.11413) c) {l : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} (hl : Membership.mem.{max u2 u3, max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (Set.{max u3 u2} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) (Set.instMembershipSet.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) l c) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))), Eq.{succ u3} F (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.sSup.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc) (Subtype.mk.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.sSup.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc))) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))) x) (And.left (LE.le.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.completeLattice.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.sSup.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc))) (forall {{x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))}} {{y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.sSup.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc)))}}, (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.sSup.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc)))) y)) -> (Eq.{succ u3} F (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l x) (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.sSup.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc) y))) (LinearPMap.le_sSup.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc l hl) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))) x) (Subtype.property.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l)) x)))) (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l x)
+Case conversion may be inaccurate. Consider using '#align linear_pmap.Sup_apply LinearPMap.sSup_applyₓ'. -/
+protected theorem sSup_apply {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {l : E →ₗ.[R] F}
     (hl : l ∈ c) (x : l.domain) :
-    (LinearPMap.supₛ c hc) ⟨x, (LinearPMap.le_supₛ hc hl).1 x.2⟩ = l x :=
+    (LinearPMap.sSup c hc) ⟨x, (LinearPMap.le_sSup hc hl).1 x.2⟩ = l x :=
   by
   symm
   apply (Classical.choose_spec (Sup_aux c hc) hl).2
   rfl
-#align linear_pmap.Sup_apply LinearPMap.supₛ_apply
+#align linear_pmap.Sup_apply LinearPMap.sSup_apply
 
 end LinearPMap

bump to nightly-2023-04-20-04

mathlib commit https://github.com/leanprover-community/mathlib/commit/730c6d4cab72b9d84fcfb9e95e8796e9cd8f40ba

1ba309e0

Diff

@@ -795,7 +795,7 @@ protected theorem supₛ_le {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {c : Set.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)} (hc : DirectedOn.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LE.le.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) c) {l : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} (hl : Membership.Mem.{max u2 u3, max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (Set.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) (Set.hasMem.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) l c) (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l)), Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) 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 but is expected to have type
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x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.10687 x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.10689) c) {l : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} (hl : Membership.mem.{max u2 u3, max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (Set.{max u3 u2} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) (Set.instMembershipSet.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) l c) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))), Eq.{succ u3} F (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc) (Subtype.mk.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc))) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))) x) (And.left (LE.le.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.completeLattice.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc))) (forall {{x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))}} {{y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc)))}}, (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc)))) y)) -> (Eq.{succ u3} F (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l x) (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc) y))) (LinearPMap.le_supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc l hl) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))) x) (Subtype.property.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l)) x)))) (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l x)
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {c : Set.{max u3 u2} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)} (hc : DirectedOn.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.11411 : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.11413 : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => LE.le.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.11411 x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.11413) c) {l : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} (hl : Membership.mem.{max u2 u3, max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (Set.{max u3 u2} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) (Set.instMembershipSet.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) l c) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))), Eq.{succ u3} F (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc) (Subtype.mk.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc))) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R 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_inst_3) (Submodule.completeLattice.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc))) (forall {{x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))}} {{y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc)))}}, (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc)))) y)) -> (Eq.{succ u3} F (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l x) (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc) y))) (LinearPMap.le_supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc l hl) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))) x) (Subtype.property.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l)) x)))) (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l x)
 Case conversion may be inaccurate. Consider using '#align linear_pmap.Sup_apply LinearPMap.supₛ_applyₓ'. -/
 protected theorem supₛ_apply {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {l : E →ₗ.[R] F}
     (hl : l ∈ c) (x : l.domain) :

bump to nightly-2023-03-18-14

mathlib commit https://github.com/leanprover-community/mathlib/commit/02ba8949f486ebecf93fe7460f1ed0564b5e442c

73d15350

Diff

@@ -68,7 +68,7 @@ instance : CoeFun (E →ₗ.[R] F) fun f : E →ₗ.[R] F => f.domain → F :=
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)), Eq.{succ u3} F (coeFn.{max (succ u2) (succ 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 but is expected to have type
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Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x 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 Case conversion may be inaccurate. Consider using '#align linear_pmap.to_fun_eq_coe LinearPMap.toFun_eq_coeₓ'. -/
 @[simp]
 theorem toFun_eq_coe (f : E →ₗ.[R] F) (x : f.domain) : f.toFun x = f x :=
@@ -79,7 +79,7 @@ theorem toFun_eq_coe (f : E →ₗ.[R] F) (x : f.domain) : f.toFun x = f x :=
 lean 3 declaration is
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 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.ext LinearPMap.extₓ'. -/
 @[ext]
 theorem ext {f g : E →ₗ.[R] F} (h : f.domain = g.domain)
@@ -94,9 +94,9 @@ theorem ext {f g : E →ₗ.[R] F} (h : f.domain = g.domain)
 
 /- warning: linear_pmap.map_zero -> LinearPMap.map_zero is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5), Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (OfNat.ofNat.{u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) 0 (Zero.toOfNat0.{u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (Submodule.zero.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))))) (OfNat.ofNat.{u1} F 0 (Zero.toOfNat0.{u1} F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4)))))))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.map_zero LinearPMap.map_zeroₓ'. -/
 @[simp]
 theorem map_zero (f : E →ₗ.[R] F) : f 0 = 0 :=
@@ -107,7 +107,7 @@ theorem map_zero (f : E →ₗ.[R] F) : f 0 = 0 :=
 lean 3 declaration is
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 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] {f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {g : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5}, Iff (Eq.{max (succ u2) (succ u1)} (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f g) (Exists.{0} (Eq.{succ u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)) (fun (domain_eq : Eq.{succ u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)) => forall {{x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))}} {{y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))}}, (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))) y)) -> (Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g y))))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] {f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {g : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5}, Iff (Eq.{max (succ u2) (succ u1)} (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f g) (Exists.{0} (Eq.{succ u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)) (fun (domain_eq : Eq.{succ u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)) => forall {{x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))}} {{y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))}}, (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))) y)) -> (Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g y))))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.ext_iff LinearPMap.ext_iffₓ'. -/
 theorem ext_iff {f g : E →ₗ.[R] F} :
     f = g ↔
@@ -125,7 +125,7 @@ theorem ext_iff {f g : E →ₗ.[R] F} :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {s : Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3} {f : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) s) F (Submodule.addCommMonoid.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 s) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (Submodule.module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 s) _inst_5} {g : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) s) F (Submodule.addCommMonoid.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 s) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (Submodule.module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 s) _inst_5}, (Eq.{max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) s) F (Submodule.addCommMonoid.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 s) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (Submodule.module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 s) _inst_5) f g) -> (Eq.{max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.mk.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 s f) (LinearPMap.mk.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 s g))
 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.ext' LinearPMap.ext'ₓ'. -/
 theorem ext' {s : Submodule R E} {f g : s →ₗ[R] F} (h : f = g) : mk s f = mk s g :=
   h ▸ rfl
@@ -133,9 +133,9 @@ theorem ext' {s : Submodule R E} {f g : s →ₗ[R] F} (h : f = g) : mk s f = mk
 
 /- warning: linear_pmap.map_add -> LinearPMap.map_add is a dubious translation:
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 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))), Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (HAdd.hAdd.{u2, u2, u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (instHAdd.{u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (Submodule.instAddSubtypeMemSubmoduleInstMembershipInstSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) x y)) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_4)))))) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f y))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))), Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (HAdd.hAdd.{u2, u2, u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (instHAdd.{u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (Submodule.add.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) x y)) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_4)))))) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f y))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.map_add LinearPMap.map_addₓ'. -/
 theorem map_add (f : E →ₗ.[R] F) (x y : f.domain) : f (x + y) = f x + f y :=
   f.toFun.map_add x y
@@ -145,7 +145,7 @@ theorem map_add (f : E →ₗ.[R] F) (x y : f.domain) : f (x + y) = f x + f y :=
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)), Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f (Neg.neg.{u2} (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (AddSubgroupClass.neg.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.addSubgroupClass.{u1, u2} R E _inst_1 _inst_2 _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) x)) (Neg.neg.{u3} F (SubNegMonoid.toHasNeg.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f x))
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))), Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Neg.neg.{u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (AddSubgroupClass.neg.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.instAddSubgroupClassSubmoduleToSemiringToAddCommMonoidToSubNegMonoidToAddGroupInstSetLikeSubmodule.{u3, u2} R E _inst_1 _inst_2 _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) x)) (Neg.neg.{u1} F (NegZeroClass.toNeg.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))), Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Neg.neg.{u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (AddSubgroupClass.neg.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.addSubgroupClass.{u3, u2} R E _inst_1 _inst_2 _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) x)) (Neg.neg.{u1} F (NegZeroClass.toNeg.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.map_neg LinearPMap.map_negₓ'. -/
 theorem map_neg (f : E →ₗ.[R] F) (x : f.domain) : f (-x) = -f x :=
   f.toFun.map_neg x
@@ -155,7 +155,7 @@ theorem map_neg (f : E →ₗ.[R] F) (x : f.domain) : f (-x) = -f x :=
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (y : coeSort.{succ u2, succ (succ u2)} 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 but is expected to have type
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+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))), Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (HSub.hSub.{u2, u2, u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (instHSub.{u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (AddSubgroupClass.sub.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.addSubgroupClass.{u3, u2} R E _inst_1 _inst_2 _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) x y)) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_4)))) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f y))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.map_sub LinearPMap.map_subₓ'. -/
 theorem map_sub (f : E →ₗ.[R] F) (x y : f.domain) : f (x - y) = f x - f y :=
   f.toFun.map_sub x y
@@ -163,9 +163,9 @@ theorem map_sub (f : E →ₗ.[R] F) (x y : f.domain) : f (x - y) = f x - f y :=
 
 /- warning: linear_pmap.map_smul -> LinearPMap.map_smul is a dubious translation:
 lean 3 declaration is
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+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (c : R) (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)), Eq.{succ u3} F (coeFn.{max (succ u2) 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(Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (Submodule.smul.{u1, u1, u2} R R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (Mul.toSMul.{u1} R (MulOneClass.toHasMul.{u1} R (Monoid.toMulOneClass.{u1} R (Ring.toMonoid.{u1} R _inst_1)))) (MulAction.toHasSmul.{u1, u2} R E (Ring.toMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))) (IsScalarTower.left.{u1, u2} R E (Ring.toMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) c x)) (SMul.smul.{u1, u3} R F (SMulZeroClass.toHasSmul.{u1, u3} R F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R F (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R F (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (Module.toMulActionWithZero.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5)))) c (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f x))
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (c : R) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))), Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (HSMul.hSMul.{u3, u2, u2} R (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (instHSMul.{u3, u2} R (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (Submodule.instSMulSubtypeMemSubmoduleInstMembershipInstSetLikeSubmodule.{u3, u3, u2} R R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (SMulZeroClass.toSMul.{u3, u3} R R (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (SMulWithZero.toSMulZeroClass.{u3, u3} R R (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (MulZeroClass.toSMulWithZero.{u3} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} R (NonUnitalRing.toNonUnitalNonAssocRing.{u3} R (Ring.toNonUnitalRing.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u2} R E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} R E (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} R E (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (IsScalarTower.left.{u3, u2} R E (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (MulActionWithZero.toMulAction.{u3, u2} R E (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) c x)) (HSMul.hSMul.{u3, u1, u1} R F F (instHSMul.{u3, u1} R F (SMulZeroClass.toSMul.{u3, u1} R F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u1} R F (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u1} R F (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (Module.toMulActionWithZero.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5))))) c (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (c : R) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))), Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (HSMul.hSMul.{u3, u2, u2} R (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (instHSMul.{u3, u2} R (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (Submodule.smul.{u3, u3, u2} R R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (SMulZeroClass.toSMul.{u3, u3} R R (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (SMulWithZero.toSMulZeroClass.{u3, u3} R R (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (MulZeroClass.toSMulWithZero.{u3} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} R (NonUnitalRing.toNonUnitalNonAssocRing.{u3} R (Ring.toNonUnitalRing.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u2} R E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} R E (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} R E (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (IsScalarTower.left.{u3, u2} R E (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (MulActionWithZero.toMulAction.{u3, u2} R E (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) c x)) (HSMul.hSMul.{u3, u1, u1} R F F (instHSMul.{u3, u1} R F (SMulZeroClass.toSMul.{u3, u1} R F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u1} R F (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u1} R F (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (Module.toMulActionWithZero.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5))))) c (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.map_smul LinearPMap.map_smulₓ'. -/
 theorem map_smul (f : E →ₗ.[R] F) (c : R) (x : f.domain) : f (c • x) = c • f x :=
   f.toFun.map_smul c x
@@ -175,7 +175,7 @@ theorem map_smul (f : E →ₗ.[R] F) (c : R) (x : f.domain) : f (c • x) = c 
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (p : Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (f : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) p) F (Submodule.addCommMonoid.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (Submodule.module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p) _inst_5) (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) p), Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 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(Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) p) F (Submodule.addCommMonoid.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (Submodule.module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p) _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) p) -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) p) F (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Submodule.addCommMonoid.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (Submodule.module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) f x)
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (p : Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (f : LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E 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(Submodule.instAddCommMonoidSubtypeMemSubmoduleInstMembershipInstSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) (Submodule.instModuleSubtypeMemSubmoduleInstMembershipInstSetLikeSubmoduleInstAddCommMonoidSubtypeMemSubmoduleInstMembershipInstSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p) _inst_5) (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p)) (fun (_x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p)) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p)) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p)) F (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Submodule.instAddCommMonoidSubtypeMemSubmoduleInstMembershipInstSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) (Submodule.instModuleSubtypeMemSubmoduleInstMembershipInstSetLikeSubmoduleInstAddCommMonoidSubtypeMemSubmoduleInstMembershipInstSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p) _inst_5 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) f x)
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (p : Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (f : LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p)) F (Submodule.addCommMonoid.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) (Submodule.module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p) _inst_5) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p)), Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.mk.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 p f) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p)) F (Submodule.addCommMonoid.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) (Submodule.module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p) _inst_5) (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p)) (fun (_x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p)) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p)) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p)) F (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Submodule.addCommMonoid.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) (Submodule.module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p) _inst_5 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) f x)
 Case conversion may be inaccurate. Consider using '#align linear_pmap.mk_apply LinearPMap.mk_applyₓ'. -/
 @[simp]
 theorem mk_apply (p : Submodule R E) (f : p →ₗ[R] F) (x : p) : mk p f x = f x :=
@@ -228,7 +228,7 @@ theorem domain_mkSpanSingleton (x : E) (y : F) (H : ∀ c : R, c • x = 0 → c
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (x : E) (y : F) (H : forall (c : R), (Eq.{succ u2} E (SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) c x) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))))))) -> (Eq.{succ u3} F (SMul.smul.{u1, u3} R F (SMulZeroClass.toHasSmul.{u1, u3} R F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R F (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R F (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (Module.toMulActionWithZero.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5)))) c y) (OfNat.ofNat.{u3} F 0 (OfNat.mk.{u3} F 0 (Zero.zero.{u3} F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))))))))) (c : R) (h : Membership.Mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) c x) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.mkSpanSingleton'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 x y H))), Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.mkSpanSingleton'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 x y H) (Subtype.mk.{succ u2} E (fun (x_1 : E) => Membership.Mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x_1 (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.mkSpanSingleton'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 x y H))) (SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) c x) h)) (SMul.smul.{u1, u3} R F (SMulZeroClass.toHasSmul.{u1, u3} R F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R F (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R F (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (Module.toMulActionWithZero.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5)))) c y)
 but is expected to have type
-  forall {R : Type.{u2}} [_inst_1 : Ring.{u2} R] {E : Type.{u3}} [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u2, u1} R F (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (x : E) (y : F) (H : forall (c : R), (Eq.{succ u3} E (HSMul.hSMul.{u2, u3, u3} R E E (instHSMul.{u2, u3} R E (SMulZeroClass.toSMul.{u2, u3} R E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u3} R E (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u3} R E (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (Module.toMulActionWithZero.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) c x) (OfNat.ofNat.{u3} E 0 (Zero.toOfNat0.{u3} E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2)))))))) -> (Eq.{succ u1} F (HSMul.hSMul.{u2, u1, u1} R F F (instHSMul.{u2, u1} R F (SMulZeroClass.toSMul.{u2, u1} R F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R F (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R F (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (Module.toMulActionWithZero.{u2, u1} R F (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5))))) c y) (OfNat.ofNat.{u1} F 0 (Zero.toOfNat0.{u1} F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))))))) (c : R) (h : Membership.mem.{u3, u3} E (Submodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) (HSMul.hSMul.{u2, u3, u3} R E E (instHSMul.{u2, u3} R E (SMulZeroClass.toSMul.{u2, u3} R E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u3} R E (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u3} R E (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (Module.toMulActionWithZero.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) c x) (LinearPMap.domain.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.mkSpanSingleton'.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 x y H))), Eq.{succ u1} F (LinearPMap.toFun'.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.mkSpanSingleton'.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 x y H) (Subtype.mk.{succ u3} E (fun (x_1 : E) => Membership.mem.{u3, u3} E (Submodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x_1 (LinearPMap.domain.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.mkSpanSingleton'.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 x y H))) (HSMul.hSMul.{u2, u3, u3} R E E (instHSMul.{u2, u3} R E (SMulZeroClass.toSMul.{u2, u3} R E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u3} R E (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u3} R E (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (Module.toMulActionWithZero.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) c x) h)) (HSMul.hSMul.{u2, u1, u1} R F F (instHSMul.{u2, u1} R F (SMulZeroClass.toSMul.{u2, u1} R F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R F (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R F (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (Module.toMulActionWithZero.{u2, u1} R F (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5))))) c y)
+  forall {R : Type.{u2}} [_inst_1 : Ring.{u2} R] {E : Type.{u3}} [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u2, u1} R F (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (x : E) (y : F) (H : forall (c : R), (Eq.{succ u3} E (HSMul.hSMul.{u2, u3, u3} R E E (instHSMul.{u2, u3} R E (SMulZeroClass.toSMul.{u2, u3} R E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u3} R E (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u3} R E (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (Module.toMulActionWithZero.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) c x) (OfNat.ofNat.{u3} E 0 (Zero.toOfNat0.{u3} E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2)))))))) -> (Eq.{succ u1} F (HSMul.hSMul.{u2, u1, u1} R F F (instHSMul.{u2, u1} R F (SMulZeroClass.toSMul.{u2, u1} R F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R F (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R F (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (Module.toMulActionWithZero.{u2, u1} R F (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5))))) c y) (OfNat.ofNat.{u1} F 0 (Zero.toOfNat0.{u1} F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))))))) (c : R) (h : Membership.mem.{u3, u3} E (Submodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.setLike.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) (HSMul.hSMul.{u2, u3, u3} R E E (instHSMul.{u2, u3} R E (SMulZeroClass.toSMul.{u2, u3} R E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u3} R E (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u3} R E (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (Module.toMulActionWithZero.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) c x) (LinearPMap.domain.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.mkSpanSingleton'.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 x y H))), Eq.{succ u1} F (LinearPMap.toFun'.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.mkSpanSingleton'.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 x y H) (Subtype.mk.{succ u3} E (fun (x_1 : E) => Membership.mem.{u3, u3} E (Submodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.setLike.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x_1 (LinearPMap.domain.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.mkSpanSingleton'.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 x y H))) (HSMul.hSMul.{u2, u3, u3} R E E (instHSMul.{u2, u3} R E (SMulZeroClass.toSMul.{u2, u3} R E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u3} R E (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u3} R E (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (Module.toMulActionWithZero.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) c x) h)) (HSMul.hSMul.{u2, u1, u1} R F F (instHSMul.{u2, u1} R F (SMulZeroClass.toSMul.{u2, u1} R F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R F (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R F (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (Module.toMulActionWithZero.{u2, u1} R F (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5))))) c y)
 Case conversion may be inaccurate. Consider using '#align linear_pmap.mk_span_singleton'_apply LinearPMap.mkSpanSingleton'_applyₓ'. -/
 @[simp]
 theorem mkSpanSingleton'_apply (x : E) (y : F) (H : ∀ c : R, c • x = 0 → c • y = 0) (c : R) (h) :
@@ -245,7 +245,7 @@ theorem mkSpanSingleton'_apply (x : E) (y : F) (H : ∀ c : R, c • x = 0 → c
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (x : E) (y : F) (H : forall (c : R), (Eq.{succ u2} E (SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) c x) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))))))) -> (Eq.{succ u3} F (SMul.smul.{u1, u3} R F (SMulZeroClass.toHasSmul.{u1, u3} R F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R F (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R F (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (Module.toMulActionWithZero.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5)))) c y) (OfNat.ofNat.{u3} F 0 (OfNat.mk.{u3} F 0 (Zero.zero.{u3} F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))))))))) (h : Membership.Mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.mkSpanSingleton'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 x y H))), Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.mkSpanSingleton'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 x y H) (Subtype.mk.{succ u2} E (fun (x_1 : E) => Membership.Mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x_1 (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.mkSpanSingleton'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 x y H))) x h)) y
 but is expected to have type
-  forall {R : Type.{u2}} [_inst_1 : Ring.{u2} R] {E : Type.{u3}} [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u2, u1} R F (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (x : E) (y : F) (H : forall (c : R), (Eq.{succ u3} E (HSMul.hSMul.{u2, u3, u3} R E E (instHSMul.{u2, u3} R E (SMulZeroClass.toSMul.{u2, u3} R E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u3} R E (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u3} R E (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (Module.toMulActionWithZero.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) c x) (OfNat.ofNat.{u3} E 0 (Zero.toOfNat0.{u3} E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2)))))))) -> (Eq.{succ u1} F (HSMul.hSMul.{u2, u1, u1} R F F (instHSMul.{u2, u1} R F (SMulZeroClass.toSMul.{u2, u1} R F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R F (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R F (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (Module.toMulActionWithZero.{u2, u1} R F (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5))))) c y) (OfNat.ofNat.{u1} F 0 (Zero.toOfNat0.{u1} F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))))))) (h : Membership.mem.{u3, u3} E (Submodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.mkSpanSingleton'.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 x y H))), Eq.{succ u1} F (LinearPMap.toFun'.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.mkSpanSingleton'.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 x y H) (Subtype.mk.{succ u3} E (fun (x_1 : E) => Membership.mem.{u3, u3} E (Submodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x_1 (LinearPMap.domain.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.mkSpanSingleton'.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 x y H))) x h)) y
+  forall {R : Type.{u2}} [_inst_1 : Ring.{u2} R] {E : Type.{u3}} [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u2, u1} R F (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (x : E) (y : F) (H : forall (c : R), (Eq.{succ u3} E (HSMul.hSMul.{u2, u3, u3} R E E (instHSMul.{u2, u3} R E (SMulZeroClass.toSMul.{u2, u3} R E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u3} R E (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u3} R E (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (Module.toMulActionWithZero.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) c x) (OfNat.ofNat.{u3} E 0 (Zero.toOfNat0.{u3} E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2)))))))) -> (Eq.{succ u1} F (HSMul.hSMul.{u2, u1, u1} R F F (instHSMul.{u2, u1} R F (SMulZeroClass.toSMul.{u2, u1} R F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R F (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R F (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (Module.toMulActionWithZero.{u2, u1} R F (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5))))) c y) (OfNat.ofNat.{u1} F 0 (Zero.toOfNat0.{u1} F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))))))) (h : Membership.mem.{u3, u3} E (Submodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.setLike.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.mkSpanSingleton'.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 x y H))), Eq.{succ u1} F (LinearPMap.toFun'.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.mkSpanSingleton'.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 x y H) (Subtype.mk.{succ u3} E (fun (x_1 : E) => Membership.mem.{u3, u3} E (Submodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.setLike.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x_1 (LinearPMap.domain.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.mkSpanSingleton'.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 x y H))) x h)) y
 Case conversion may be inaccurate. Consider using '#align linear_pmap.mk_span_singleton'_apply_self LinearPMap.mkSpanSingleton'_apply_selfₓ'. -/
 @[simp]
 theorem mkSpanSingleton'_apply_self (x : E) (y : F) (H : ∀ c : R, c • x = 0 → c • y = 0) (h) :
@@ -272,7 +272,7 @@ noncomputable def mkSpanSingleton {K E F : Type _} [DivisionRing K] [AddCommGrou
 lean 3 declaration is
   forall (K : Type.{u1}) {E : Type.{u2}} {F : Type.{u3}} [_inst_8 : DivisionRing.{u1} K] [_inst_9 : AddCommGroup.{u2} E] [_inst_10 : Module.{u1, u2} K E (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_9)] [_inst_11 : AddCommGroup.{u3} F] [_inst_12 : Module.{u1, u3} K F (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_11)] {x : E} (hx : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_9))))))))) (y : F), Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} K (DivisionRing.toRing.{u1} K _inst_8) E _inst_9 _inst_10 F _inst_11 _inst_12) (fun (f : LinearPMap.{u1, u2, u3} K (DivisionRing.toRing.{u1} K _inst_8) E _inst_9 _inst_10 F _inst_11 _inst_12) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} K E (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_9) _inst_10) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} K E (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_9) _inst_10) E (Submodule.setLike.{u1, u2} K E (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_9) _inst_10)) (LinearPMap.domain.{u1, u2, u3} K (DivisionRing.toRing.{u1} K _inst_8) E _inst_9 _inst_10 F _inst_11 _inst_12 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} K (DivisionRing.toRing.{u1} K _inst_8) E _inst_9 _inst_10 F _inst_11 _inst_12) (LinearPMap.mkSpanSingleton.{u1, u2, u3} K E F _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 x y hx) (Subtype.mk.{succ u2} E (fun (x_1 : E) => Membership.Mem.{u2, u2} E (Submodule.{u1, u2} K E (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_9) _inst_10) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} K E (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_9) _inst_10) E (Submodule.setLike.{u1, u2} K E (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_9) _inst_10)) x_1 (LinearPMap.domain.{u1, u2, u3} K (DivisionRing.toRing.{u1} K _inst_8) E _inst_9 _inst_10 F _inst_11 _inst_12 (LinearPMap.mkSpanSingleton.{u1, u2, u3} K E F _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 x y hx))) x (Submodule.mem_span_singleton_self.{u1, u2} K E (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_9) _inst_10 x))) y
 but is expected to have type
-  forall (K : Type.{u3}) {E : Type.{u2}} {F : Type.{u1}} [_inst_8 : DivisionRing.{u3} K] [_inst_9 : AddCommGroup.{u2} E] [_inst_10 : Module.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_9)] [_inst_11 : AddCommGroup.{u1} F] [_inst_12 : Module.{u3, u1} K F (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} F _inst_11)] {x : E} (hx : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_9)))))))) (y : F), Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_9 _inst_10 F _inst_11 _inst_12 (LinearPMap.mkSpanSingleton.{u3, u2, u1} K E F _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 x y hx) (Subtype.mk.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_9) _inst_10) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_9) _inst_10) E (Submodule.instSetLikeSubmodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_9) _inst_10)) x_1 (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_9 _inst_10 F _inst_11 _inst_12 (LinearPMap.mkSpanSingleton.{u3, u2, u1} K E F _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 x y hx))) x (Submodule.mem_span_singleton_self.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_9) _inst_10 x))) y
+  forall (K : Type.{u3}) {E : Type.{u2}} {F : Type.{u1}} [_inst_8 : DivisionRing.{u3} K] [_inst_9 : AddCommGroup.{u2} E] [_inst_10 : Module.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_9)] [_inst_11 : AddCommGroup.{u1} F] [_inst_12 : Module.{u3, u1} K F (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} F _inst_11)] {x : E} (hx : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_9)))))))) (y : F), Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_9 _inst_10 F _inst_11 _inst_12 (LinearPMap.mkSpanSingleton.{u3, u2, u1} K E F _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 x y hx) (Subtype.mk.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_9) _inst_10) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_9) _inst_10) E (Submodule.setLike.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_9) _inst_10)) x_1 (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_9 _inst_10 F _inst_11 _inst_12 (LinearPMap.mkSpanSingleton.{u3, u2, u1} K E F _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 x y hx))) x (Submodule.mem_span_singleton_self.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_9) _inst_10 x))) y
 Case conversion may be inaccurate. Consider using '#align linear_pmap.mk_span_singleton_apply LinearPMap.mkSpanSingleton_applyₓ'. -/
 theorem mkSpanSingleton_apply (K : Type _) {E F : Type _} [DivisionRing K] [AddCommGroup E]
     [Module K E] [AddCommGroup F] [Module K F] {x : E} (hx : x ≠ 0) (y : F) :
@@ -298,7 +298,7 @@ protected def fst (p : Submodule R E) (p' : Submodule R F) : E × F →ₗ.[R] E
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (p : Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (p' : Submodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5) (x : coeSort.{succ (max u2 u3), succ (succ (max u2 u3))} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) 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R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) Type.{max u2 u3} (SetLike.hasCoeToSort.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) (Submodule.prod.{u1, u2, u3} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5 p')) (Prod.{u2, u3} E F) (coeSubtype.{max (succ u2) (succ u3)} (Prod.{u2, u3} E F) (fun (x : Prod.{u2, u3} E F) => Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) x (Submodule.prod.{u1, u2, u3} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5 p')))))) x))
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (p : Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (p' : Submodule.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5) (x : Subtype.{succ (max u2 u1)} (Prod.{u2, u1} E F) (fun (x : Prod.{u2, u1} E F) => Membership.mem.{max u2 u1, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.instSetLikeSubmodule.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) x (Submodule.prod.{u3, u2, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p F (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5 p'))), Eq.{succ u2} E (LinearPMap.toFun'.{u3, max u2 u1, u2} R _inst_1 (Prod.{u2, u1} E F) (Prod.instAddCommGroupSum.{u2, u1} E F _inst_2 _inst_4) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) E _inst_2 _inst_3 (LinearPMap.fst.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 p p') x) (Prod.fst.{u2, u1} E F (Subtype.val.{succ (max u2 u1)} (Prod.{u2, u1} E F) (fun (x : Prod.{u2, u1} E F) => Membership.mem.{max u2 u1, max u2 u1} (Prod.{u2, u1} E F) (Set.{max u2 u1} (Prod.{u2, u1} E F)) (Set.instMembershipSet.{max u2 u1} (Prod.{u2, u1} E F)) x (SetLike.coe.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.instSetLikeSubmodule.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Submodule.prod.{u3, u2, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p F (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5 p'))) x))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (p : Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (p' : Submodule.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5) (x : Subtype.{succ (max u2 u1)} (Prod.{u2, u1} E F) (fun (x : Prod.{u2, u1} E F) => Membership.mem.{max u2 u1, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.setLike.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) x (Submodule.prod.{u3, u2, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p F (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5 p'))), Eq.{succ u2} E (LinearPMap.toFun'.{u3, max u2 u1, u2} R _inst_1 (Prod.{u2, u1} E F) (Prod.instAddCommGroupSum.{u2, u1} E F _inst_2 _inst_4) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) E _inst_2 _inst_3 (LinearPMap.fst.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 p p') x) (Prod.fst.{u2, u1} E F (Subtype.val.{succ (max u2 u1)} (Prod.{u2, u1} E F) (fun (x : Prod.{u2, u1} E F) => Membership.mem.{max u2 u1, max u2 u1} (Prod.{u2, u1} E F) (Set.{max u2 u1} (Prod.{u2, u1} E F)) (Set.instMembershipSet.{max u2 u1} (Prod.{u2, u1} E F)) x (SetLike.coe.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.setLike.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Submodule.prod.{u3, u2, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p F (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5 p'))) x))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.fst_apply LinearPMap.fst_applyₓ'. -/
 @[simp]
 theorem fst_apply (p : Submodule R E) (p' : Submodule R F) (x : p.Prod p') :
@@ -323,7 +323,7 @@ protected def snd (p : Submodule R E) (p' : Submodule R F) : E × F →ₗ.[R] F
 lean 3 declaration is
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 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (p : Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (p' : Submodule.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5) (x : Subtype.{succ (max u2 u1)} (Prod.{u2, u1} E F) (fun (x : Prod.{u2, u1} E F) => Membership.mem.{max u2 u1, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.instSetLikeSubmodule.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) x (Submodule.prod.{u3, u2, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p F (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5 p'))), Eq.{succ u1} F (LinearPMap.toFun'.{u3, max u2 u1, u1} R _inst_1 (Prod.{u2, u1} E F) (Prod.instAddCommGroupSum.{u2, u1} E F _inst_2 _inst_4) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) F _inst_4 _inst_5 (LinearPMap.snd.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 p p') x) (Prod.snd.{u2, u1} E F (Subtype.val.{succ (max u2 u1)} (Prod.{u2, u1} E F) (fun (x : Prod.{u2, u1} E F) => Membership.mem.{max u2 u1, max u2 u1} (Prod.{u2, u1} E F) (Set.{max u2 u1} (Prod.{u2, u1} E F)) (Set.instMembershipSet.{max u2 u1} (Prod.{u2, u1} E F)) x (SetLike.coe.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.instSetLikeSubmodule.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Submodule.prod.{u3, u2, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p F (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5 p'))) x))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (p : Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (p' : Submodule.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5) (x : Subtype.{succ (max u2 u1)} (Prod.{u2, u1} E F) (fun (x : Prod.{u2, u1} E F) => Membership.mem.{max u2 u1, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.setLike.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) x (Submodule.prod.{u3, u2, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p F (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5 p'))), Eq.{succ u1} F (LinearPMap.toFun'.{u3, max u2 u1, u1} R _inst_1 (Prod.{u2, u1} E F) (Prod.instAddCommGroupSum.{u2, u1} E F _inst_2 _inst_4) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) F _inst_4 _inst_5 (LinearPMap.snd.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 p p') x) (Prod.snd.{u2, u1} E F (Subtype.val.{succ (max u2 u1)} (Prod.{u2, u1} E F) (fun (x : Prod.{u2, u1} E F) => Membership.mem.{max u2 u1, max u2 u1} (Prod.{u2, u1} E F) (Set.{max u2 u1} (Prod.{u2, u1} E F)) (Set.instMembershipSet.{max u2 u1} (Prod.{u2, u1} E F)) x (SetLike.coe.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.setLike.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Submodule.prod.{u3, u2, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p F (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5 p'))) x))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.snd_apply LinearPMap.snd_applyₓ'. -/
 @[simp]
 theorem snd_apply (p : Submodule R E) (p' : Submodule R F) (x : p.Prod p') :
@@ -338,7 +338,7 @@ instance : Neg (E →ₗ.[R] F) :=
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (Neg.neg.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.neg.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f))), Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (Neg.neg.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.neg.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f) x) (Neg.neg.{u3} F (SubNegMonoid.toHasNeg.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f x))
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (Neg.neg.{max u2 u1} (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.neg.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f)))), Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (Neg.neg.{max u2 u1} (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.neg.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f) x) (Neg.neg.{u1} F (NegZeroClass.toNeg.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (Neg.neg.{max u2 u1} (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.neg.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f)))), Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (Neg.neg.{max u2 u1} (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.neg.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f) x) (Neg.neg.{u1} F (NegZeroClass.toNeg.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.neg_apply LinearPMap.neg_applyₓ'. -/
 @[simp]
 theorem neg_apply (f : E →ₗ.[R] F) (x) : (-f) x = -f x :=
@@ -352,7 +352,7 @@ instance : LE (E →ₗ.[R] F) :=
 lean 3 declaration is
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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S))) y)) -> (Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 T x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S y))) h)) x))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] {T : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {S : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} (h : LE.le.{max u2 u1} (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) T S) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E 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(LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 T))) (fun (_x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 T))) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 T))) => Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S))) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u2} R R (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} 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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 T)) (Submodule.addCommMonoid.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S)) (Submodule.module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 T)) (Submodule.module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) (Submodule.ofLe.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 T) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S) (And.left (LE.le.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.completeLattice.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 T) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S)) (forall {{x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 T))}} {{y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S))}}, (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 T))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S))) y)) -> (Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 T x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S y))) h)) x))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.apply_comp_of_le LinearPMap.apply_comp_ofLeₓ'. -/
 theorem apply_comp_ofLe {T S : E →ₗ.[R] F} (h : T ≤ S) (x : T.domain) :
     T x = S (Submodule.ofLe h.1 x) :=
@@ -363,7 +363,7 @@ theorem apply_comp_ofLe {T S : E →ₗ.[R] F} (h : T ≤ S) (x : T.domain) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {T : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {S : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5}, (LE.le.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) T S) -> (forall (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) 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_inst_3 F _inst_4 _inst_5 T)))))) x) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S)) E (HasLiftT.mk.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E 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 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] {T : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {S : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5}, (LE.le.{max u2 u1} (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) T S) -> (forall (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 T))), Exists.{succ u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S))) (fun (y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S))) => And (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 T))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S))) y)) (Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 T x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S y))))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] {T : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {S : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5}, (LE.le.{max u2 u1} (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) T S) -> (forall (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 T))), Exists.{succ u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S))) (fun (y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S))) => And (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 T))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S))) y)) (Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 T x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 S y))))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.exists_of_le LinearPMap.exists_of_leₓ'. -/
 theorem exists_of_le {T S : E →ₗ.[R] F} (h : T ≤ S) (x : T.domain) :
     ∃ y : S.domain, (x : E) = y ∧ T x = S y :=
@@ -488,7 +488,7 @@ private theorem sup_aux (f g : E →ₗ.[R] F)
 lean 3 declaration is
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_inst_2 _inst_3 F _inst_4 _inst_5 f)) (y : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)), (Eq.{succ u2} E ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E 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 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (g : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5), (forall (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))), (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))) y)) -> (Eq.{succ u3} F (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g y))) -> (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (g : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5), (forall (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))), (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))) y)) -> (Eq.{succ u3} F (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g y))) -> (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)
 Case conversion may be inaccurate. Consider using '#align linear_pmap.sup LinearPMap.supₓ'. -/
 /-- Given two partial linear maps that agree on the intersection of their domains,
 `f.sup g h` is the unique partial linear map on `f.domain ⊔ g.domain` that agrees
@@ -502,7 +502,7 @@ protected noncomputable def sup (f g : E →ₗ.[R] F)
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (g : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (h : forall (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 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(LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)))))) y)) -> (Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, 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_inst_3 F _inst_4 _inst_5 f g h)) (Sup.sup.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SemilatticeSup.toHasSup.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Lattice.toSemilatticeSup.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (ConditionallyCompleteLattice.toLattice.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.completeLattice.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (g : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (h : forall (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))), (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))) y)) -> (Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g y))), Eq.{succ u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.sup.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f g h)) (Sup.sup.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SemilatticeSup.toSup.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Lattice.toSemilatticeSup.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (ConditionallyCompleteLattice.toLattice.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.completeLattice.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (g : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (h : forall (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))), (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))) y)) -> (Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g y))), Eq.{succ u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.sup.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f g h)) (Sup.sup.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SemilatticeSup.toSup.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Lattice.toSemilatticeSup.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (ConditionallyCompleteLattice.toLattice.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.completeLattice.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.domain_sup LinearPMap.domain_supₓ'. -/
 @[simp]
 theorem domain_sup (f g : E →ₗ.[R] F)
@@ -515,7 +515,7 @@ theorem domain_sup (f g : E →ₗ.[R] F)
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {g : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} (H : forall (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (y : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)), (Eq.{succ u2} E ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E 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 but is expected to have type
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+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] {f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {g : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} (H : forall (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))), (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))) y)) -> (Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g y))) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))) (z : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (Sup.sup.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SemilatticeSup.toSup.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Lattice.toSemilatticeSup.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (ConditionallyCompleteLattice.toLattice.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.completeLattice.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)))), (Eq.{succ u2} E (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) x) 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E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Lattice.toSemilatticeSup.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (ConditionallyCompleteLattice.toLattice.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.completeLattice.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)))) z)) -> (Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.sup.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f g H) z) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_4)))))) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g y)))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.sup_apply LinearPMap.sup_applyₓ'. -/
 theorem sup_apply {f g : E →ₗ.[R] F} (H : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y)
     (x y z) (hz : (↑x : E) + ↑y = ↑z) : f.sup g H z = f x + g y :=
@@ -526,7 +526,7 @@ theorem sup_apply {f g : E →ₗ.[R] F} (H : ∀ (x : f.domain) (y : g.domain),
 lean 3 declaration is
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(LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)))))) y)) -> (Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, 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 but is expected to have type
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+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (g : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (h : forall (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))), (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))) y)) -> (Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g y))), LE.le.{max u2 u1} (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f (LinearPMap.sup.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f g h)
 Case conversion may be inaccurate. Consider using '#align linear_pmap.left_le_sup LinearPMap.left_le_supₓ'. -/
 protected theorem left_le_sup (f g : E →ₗ.[R] F)
     (h : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y) : f ≤ f.sup g h :=
@@ -541,7 +541,7 @@ protected theorem left_le_sup (f g : E →ₗ.[R] F)
 lean 3 declaration is
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(LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)))))) y)) -> (Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, 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 but is expected to have type
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+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (g : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (h : forall (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))), (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))) y)) -> (Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g y))), LE.le.{max u2 u1} (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) g (LinearPMap.sup.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f g h)
 Case conversion may be inaccurate. Consider using '#align linear_pmap.right_le_sup LinearPMap.right_le_supₓ'. -/
 protected theorem right_le_sup (f g : E →ₗ.[R] F)
     (h : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y) : g ≤ f.sup g h :=
@@ -556,7 +556,7 @@ protected theorem right_le_sup (f g : E →ₗ.[R] F)
 lean 3 declaration is
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_inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)) E (coeBase.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)) E (coeSubtype.{succ u2} E (fun (x : E) => Membership.Mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} 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(coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) g y))), (LE.le.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f h) -> (LE.le.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) g h) -> (LE.le.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.sup.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f g H) h)
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] {f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {g : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {h : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} (H : forall (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))), (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))) y)) -> (Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g y))), (LE.le.{max u2 u1} (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f h) -> (LE.le.{max u2 u1} (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) g h) -> (LE.le.{max u2 u1} (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.sup.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f g H) h)
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] {f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {g : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {h : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} (H : forall (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))), (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))) y)) -> (Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g y))), (LE.le.{max u2 u1} (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f h) -> (LE.le.{max u2 u1} (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) g h) -> (LE.le.{max u2 u1} (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.sup.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f g H) h)
 Case conversion may be inaccurate. Consider using '#align linear_pmap.sup_le LinearPMap.sup_leₓ'. -/
 protected theorem sup_le {f g h : E →ₗ.[R] F}
     (H : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y) (fh : f ≤ h) (gh : g ≤ h) :
@@ -570,7 +570,7 @@ protected theorem sup_le {f g h : E →ₗ.[R] F}
 lean 3 declaration is
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 but is expected to have type
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+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (g : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5), (Disjoint.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.completeLattice.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))) (Submodule.instOrderBotSubmoduleToLEToPreorderInstPartialOrderSetLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)) -> (forall (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))), (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))) y)) -> (Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g y)))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.sup_h_of_disjoint LinearPMap.sup_h_of_disjointₓ'. -/
 /-- Hypothesis for `linear_pmap.sup` holds, if `f.domain` is disjoint with `g.domain`. -/
 theorem sup_h_of_disjoint (f g : E →ₗ.[R] F) (h : Disjoint f.domain g.domain) (x : f.domain)
@@ -608,7 +608,7 @@ theorem smul_domain (a : M) (f : E →ₗ.[R] F) : (a • f).domain = f.domain :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {M : Type.{u4}} [_inst_8 : Monoid.{u4} M] [_inst_9 : DistribMulAction.{u4, u3} M F _inst_8 (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))] [_inst_10 : SMulCommClass.{u1, u4, u3} R M F (SMulZeroClass.toHasSmul.{u1, u3} R F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R F (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R F (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (Module.toMulActionWithZero.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5)))) (SMulZeroClass.toHasSmul.{u4, u3} M F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))))) (DistribSMul.toSmulZeroClass.{u4, u3} M F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))) (DistribMulAction.toDistribSMul.{u4, u3} M F _inst_8 (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))) _inst_9)))] (a : M) (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (SMul.smul.{u4, max u2 u3} M (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u1, u2, u3, u4} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10) a f))), Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (SMul.smul.{u4, max u2 u3} M (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u1, u2, u3, u4} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10) a f) x) (SMul.smul.{u4, u3} M F (SMulZeroClass.toHasSmul.{u4, u3} M F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))))) (DistribSMul.toSmulZeroClass.{u4, u3} M F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))) (DistribMulAction.toDistribSMul.{u4, u3} M F _inst_8 (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))) _inst_9))) a (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f x))
 but is expected to have type
-  forall {R : Type.{u4}} [_inst_1 : Ring.{u4} R] {E : Type.{u3}} [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u4, u2} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] {M : Type.{u1}} [_inst_8 : Monoid.{u1} M] [_inst_9 : DistribMulAction.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))] [_inst_10 : SMulCommClass.{u4, u1, u2} R M F (SMulZeroClass.toSMul.{u4, u2} R F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u4, u2} R F (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (Ring.toSemiring.{u4} R _inst_1))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u4, u2} R F (Semiring.toMonoidWithZero.{u4} R (Ring.toSemiring.{u4} R _inst_1)) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (Module.toMulActionWithZero.{u4, u2} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_5)))) (SMulZeroClass.toSMul.{u1, u2} M F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (DistribSMul.toSMulZeroClass.{u1, u2} M F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))) (DistribMulAction.toDistribSMul.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4))) _inst_9)))] (a : M) (f : LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HSMul.hSMul.{u1, max u3 u2, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHSMul.{u1, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u4, u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10)) a f)))), Eq.{succ u2} F (LinearPMap.toFun'.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HSMul.hSMul.{u1, max u3 u2, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHSMul.{u1, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u4, u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10)) a f) x) (HSMul.hSMul.{u1, u2, u2} M F F (instHSMul.{u1, u2} M F (SMulZeroClass.toSMul.{u1, u2} M F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (DistribSMul.toSMulZeroClass.{u1, u2} M F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))) (DistribMulAction.toDistribSMul.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4))) _inst_9)))) a (LinearPMap.toFun'.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
+  forall {R : Type.{u4}} [_inst_1 : Ring.{u4} R] {E : Type.{u3}} [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u4, u2} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] {M : Type.{u1}} [_inst_8 : Monoid.{u1} M] [_inst_9 : DistribMulAction.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))] [_inst_10 : SMulCommClass.{u4, u1, u2} R M F (SMulZeroClass.toSMul.{u4, u2} R F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u4, u2} R F (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (Ring.toSemiring.{u4} R _inst_1))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u4, u2} R F (Semiring.toMonoidWithZero.{u4} R (Ring.toSemiring.{u4} R _inst_1)) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (Module.toMulActionWithZero.{u4, u2} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_5)))) (SMulZeroClass.toSMul.{u1, u2} M F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (DistribSMul.toSMulZeroClass.{u1, u2} M F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))) (DistribMulAction.toDistribSMul.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4))) _inst_9)))] (a : M) (f : LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.setLike.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HSMul.hSMul.{u1, max u3 u2, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHSMul.{u1, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u4, u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10)) a f)))), Eq.{succ u2} F (LinearPMap.toFun'.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HSMul.hSMul.{u1, max u3 u2, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHSMul.{u1, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u4, u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10)) a f) x) (HSMul.hSMul.{u1, u2, u2} M F F (instHSMul.{u1, u2} M F (SMulZeroClass.toSMul.{u1, u2} M F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (DistribSMul.toSMulZeroClass.{u1, u2} M F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))) (DistribMulAction.toDistribSMul.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4))) _inst_9)))) a (LinearPMap.toFun'.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.smul_apply LinearPMap.smul_applyₓ'. -/
 theorem smul_apply (a : M) (f : E →ₗ.[R] F) (x : (a • f).domain) : (a • f) x = a • f x :=
   rfl
@@ -618,7 +618,7 @@ theorem smul_apply (a : M) (f : E →ₗ.[R] F) (x : (a • f).domain) : (a •
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {M : Type.{u4}} [_inst_8 : Monoid.{u4} M] [_inst_9 : DistribMulAction.{u4, u3} M F _inst_8 (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))] [_inst_10 : SMulCommClass.{u1, u4, u3} R M F (SMulZeroClass.toHasSmul.{u1, u3} R F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R F (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R F (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (Module.toMulActionWithZero.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5)))) (SMulZeroClass.toHasSmul.{u4, u3} M F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))))) (DistribSMul.toSmulZeroClass.{u4, u3} M F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))) (DistribMulAction.toDistribSMul.{u4, u3} M F _inst_8 (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))) _inst_9)))] (a : M) (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5), Eq.{succ (max u2 u3)} ((coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (SMul.smul.{u4, max u2 u3} M (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u1, u2, u3, u4} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10) a f))) -> F) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (SMul.smul.{u4, max u2 u3} M (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u1, u2, u3, u4} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10) a f)) (SMul.smul.{u4, max u2 u3} M ((coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (SMul.smul.{u4, max u2 u3} M (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u1, u2, u3, u4} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10) a f))) -> F) (Function.hasSMul.{u2, u4, u3} (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (SMul.smul.{u4, max u2 u3} M (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u1, u2, u3, u4} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10) a f))) M F (SMulZeroClass.toHasSmul.{u4, u3} M F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))))) (DistribSMul.toSmulZeroClass.{u4, u3} M F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))) (DistribMulAction.toDistribSMul.{u4, u3} M F _inst_8 (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))) _inst_9)))) a (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f))
 but is expected to have type
-  forall {R : Type.{u4}} [_inst_1 : Ring.{u4} R] {E : Type.{u3}} [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u4, u2} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] {M : Type.{u1}} [_inst_8 : Monoid.{u1} M] [_inst_9 : DistribMulAction.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))] [_inst_10 : SMulCommClass.{u4, u1, u2} R M F (SMulZeroClass.toSMul.{u4, u2} R F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u4, u2} R F (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (Ring.toSemiring.{u4} R _inst_1))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u4, u2} R F (Semiring.toMonoidWithZero.{u4} R (Ring.toSemiring.{u4} R _inst_1)) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (Module.toMulActionWithZero.{u4, u2} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_5)))) (SMulZeroClass.toSMul.{u1, u2} M F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (DistribSMul.toSMulZeroClass.{u1, u2} M F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))) (DistribMulAction.toDistribSMul.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4))) _inst_9)))] (a : M) (f : LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5), Eq.{max (succ u3) (succ u2)} ((Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HSMul.hSMul.{u1, max u3 u2, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHSMul.{u1, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u4, u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10)) a f)))) -> F) (LinearPMap.toFun'.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HSMul.hSMul.{u1, max u3 u2, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHSMul.{u1, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u4, u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10)) a f)) (HSMul.hSMul.{u1, max u3 u2, max u3 u2} M ((Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) -> F) ((Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) -> F) (instHSMul.{u1, max u3 u2} M ((Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) -> F) (Pi.instSMul.{u3, u2, u1} (Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) M (fun (a._@.Mathlib.LinearAlgebra.LinearPMap._hyg.808 : Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) => F) (fun (i : Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) => SMulZeroClass.toSMul.{u1, u2} M F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (DistribSMul.toSMulZeroClass.{u1, u2} M F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))) (DistribMulAction.toDistribSMul.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4))) _inst_9))))) a (LinearPMap.toFun'.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
+  forall {R : Type.{u4}} [_inst_1 : Ring.{u4} R] {E : Type.{u3}} [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u4, u2} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] {M : Type.{u1}} [_inst_8 : Monoid.{u1} M] [_inst_9 : DistribMulAction.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))] [_inst_10 : SMulCommClass.{u4, u1, u2} R M F (SMulZeroClass.toSMul.{u4, u2} R F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u4, u2} R F (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (Ring.toSemiring.{u4} R _inst_1))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u4, u2} R F (Semiring.toMonoidWithZero.{u4} R (Ring.toSemiring.{u4} R _inst_1)) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (Module.toMulActionWithZero.{u4, u2} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_5)))) (SMulZeroClass.toSMul.{u1, u2} M F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (DistribSMul.toSMulZeroClass.{u1, u2} M F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))) (DistribMulAction.toDistribSMul.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4))) _inst_9)))] (a : M) (f : LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5), Eq.{max (succ u3) (succ u2)} ((Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.setLike.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HSMul.hSMul.{u1, max u3 u2, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHSMul.{u1, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u4, u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10)) a f)))) -> F) (LinearPMap.toFun'.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HSMul.hSMul.{u1, max u3 u2, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHSMul.{u1, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u4, u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10)) a f)) (HSMul.hSMul.{u1, max u3 u2, max u3 u2} M ((Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} 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((Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.setLike.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) -> F) (Pi.instSMul.{u3, u2, u1} (Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.setLike.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) M (fun (a._@.Mathlib.LinearAlgebra.LinearPMap._hyg.808 : Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.setLike.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) => F) (fun (i : Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.setLike.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) => SMulZeroClass.toSMul.{u1, u2} M F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (DistribSMul.toSMulZeroClass.{u1, u2} M F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))) (DistribMulAction.toDistribSMul.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4))) _inst_9))))) a (LinearPMap.toFun'.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.coe_smul LinearPMap.coe_smulₓ'. -/
 @[simp]
 theorem coe_smul (a : M) (f : E →ₗ.[R] F) : ⇑(a • f) = a • f :=
@@ -660,7 +660,7 @@ theorem vadd_domain (f : E →ₗ[R] F) (g : E →ₗ.[R] F) : (f +ᵥ g).domain
 lean 3 declaration is
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 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (g : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E 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(AddZeroClass.toAdd.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HVAdd.hVAdd.{max u2 u1, max u2 u1, max u2 u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u3, u2, u1} R 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(SubNegMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HVAdd.hVAdd.{max u2 u1, max u2 u1, max u2 u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHVAdd.{max u2 u1, max u2 u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.vadd.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) f g)))) x)) (AddGroup.toSubNegMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) 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u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) f g)))) x)) (AddCommGroup.toAddGroup.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HVAdd.hVAdd.{max u2 u1, max u2 u1, max u2 u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E 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 Case conversion may be inaccurate. Consider using '#align linear_pmap.vadd_apply LinearPMap.vadd_applyₓ'. -/
 theorem vadd_apply (f : E →ₗ[R] F) (g : E →ₗ.[R] F) (x : (f +ᵥ g).domain) :
     (f +ᵥ g) x = f x + g x :=
@@ -671,7 +671,7 @@ theorem vadd_apply (f : E →ₗ[R] F) (g : E →ₗ.[R] F) (x : (f +ᵥ g).doma
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.coe_vadd LinearPMap.coe_vaddₓ'. -/
 @[simp]
 theorem coe_vadd (f : E →ₗ[R] F) (g : E →ₗ.[R] F) : ⇑(f +ᵥ g) = f.comp g.domain.Subtype + g :=
@@ -690,24 +690,20 @@ section
 
 variable {K : Type _} [DivisionRing K] [Module K E] [Module K F]
 
-/- warning: linear_pmap.sup_span_singleton -> LinearPMap.supSpanSingleton is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align linear_pmap.sup_span_singleton LinearPMap.supSpanSingletonₓ'. -/
+#print LinearPMap.supSpanSingleton /-
 /-- Extend a `linear_pmap` to `f.domain ⊔ K ∙ x`. -/
 noncomputable def supSpanSingleton (f : E →ₗ.[K] F) (x : E) (y : F) (hx : x ∉ f.domain) :
     E →ₗ.[K] F :=
   f.sup (mkSpanSingleton x y fun h₀ => hx <| h₀.symm ▸ f.domain.zero_mem) <|
     sup_h_of_disjoint _ _ <| by simpa [disjoint_span_singleton]
 #align linear_pmap.sup_span_singleton LinearPMap.supSpanSingleton
+-/
 
 /- warning: linear_pmap.domain_sup_span_singleton -> LinearPMap.domain_supSpanSingleton is a dubious translation:
 lean 3 declaration is
   forall {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] {K : Type.{u3}} [_inst_8 : DivisionRing.{u3} K] [_inst_9 : Module.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_10 : Module.{u3, u2} K F (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] (f : LinearPMap.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) (x : E) (y : F) (hx : Not (Membership.Mem.{u1, u1} E (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (SetLike.hasMem.{u1, u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)) x (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f))), Eq.{succ u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 (LinearPMap.supSpanSingleton.{u1, u2, u3} E _inst_2 F _inst_4 K _inst_8 _inst_9 _inst_10 f x y hx)) (Sup.sup.{u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (SemilatticeSup.toHasSup.{u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (Lattice.toSemilatticeSup.{u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (ConditionallyCompleteLattice.toLattice.{u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (CompleteLattice.toConditionallyCompleteLattice.{u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (Submodule.completeLattice.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9))))) (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f) (Submodule.span.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9 (Singleton.singleton.{u1, u1} E (Set.{u1} E) (Set.hasSingleton.{u1} E) x)))
 but is expected to have type
-  forall {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] {K : Type.{u3}} [_inst_8 : DivisionRing.{u3} K] [_inst_9 : Module.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_10 : Module.{u3, u1} K F (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) (x : E) (y : F) (hx : Not (Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) E (Submodule.instSetLikeSubmodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9)) x (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f))), Eq.{succ u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 (LinearPMap.supSpanSingleton.{u2, u1, u3} E _inst_2 F _inst_4 K _inst_8 _inst_9 _inst_10 f x y hx)) (Sup.sup.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SemilatticeSup.toSup.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (Lattice.toSemilatticeSup.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (ConditionallyCompleteLattice.toLattice.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (Submodule.completeLattice.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f) (Submodule.span.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9 (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))
+  forall {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] {K : Type.{u3}} [_inst_8 : DivisionRing.{u3} K] [_inst_9 : Module.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_10 : Module.{u3, u1} K F (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) (x : E) (y : F) (hx : Not (Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9)) x (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f))), Eq.{succ u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 (LinearPMap.supSpanSingleton.{u2, u1, u3} E _inst_2 F _inst_4 K _inst_8 _inst_9 _inst_10 f x y hx)) (Sup.sup.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SemilatticeSup.toSup.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (Lattice.toSemilatticeSup.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (ConditionallyCompleteLattice.toLattice.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (Submodule.completeLattice.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f) (Submodule.span.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9 (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.domain_sup_span_singleton LinearPMap.domain_supSpanSingletonₓ'. -/
 @[simp]
 theorem domain_supSpanSingleton (f : E →ₗ.[K] F) (x : E) (y : F) (hx : x ∉ f.domain) :
@@ -719,7 +715,7 @@ theorem domain_supSpanSingleton (f : E →ₗ.[K] F) (x : E) (y : F) (hx : x ∉
 lean 3 declaration is
   forall {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] {K : Type.{u3}} [_inst_8 : DivisionRing.{u3} K] [_inst_9 : Module.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_10 : Module.{u3, u2} K F (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] (f : LinearPMap.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) (x : E) (y : F) (hx : Not (Membership.Mem.{u1, u1} E (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (SetLike.hasMem.{u1, u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)) x (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f))) (x' : E) (hx' : Membership.Mem.{u1, u1} E (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (SetLike.hasMem.{u1, u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)) x' (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f)) (c : K), Eq.{succ u2} F (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearPMap.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) (fun (f : LinearPMap.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) => (coeSort.{succ u1, succ (succ u1)} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)) (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f)) -> F) (LinearPMap.hasCoeToFun.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) (LinearPMap.supSpanSingleton.{u1, u2, u3} E _inst_2 F _inst_4 K _inst_8 _inst_9 _inst_10 f x y hx) (Subtype.mk.{succ u1} E (fun (x_1 : E) => Membership.Mem.{u1, u1} E (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (SetLike.hasMem.{u1, u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)) x_1 (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 (LinearPMap.supSpanSingleton.{u1, u2, u3} E _inst_2 F _inst_4 K _inst_8 _inst_9 _inst_10 f x y hx))) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toHasAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)))))) x' (SMul.smul.{u3, u1} K E (SMulZeroClass.toHasSmul.{u3, u1} K E (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u3, u1} K E (MulZeroClass.toHasZero.{u3} K (MulZeroOneClass.toMulZeroClass.{u3} K (MonoidWithZero.toMulZeroOneClass.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u1} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (Module.toMulActionWithZero.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)))) c x)) (Iff.mpr (Membership.Mem.{u1, u1} E (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (SetLike.hasMem.{u1, u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toHasAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)))))) x' (SMul.smul.{u3, u1} K E (SMulZeroClass.toHasSmul.{u3, u1} K E (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u3, u1} K E (MulZeroClass.toHasZero.{u3} K (MulZeroOneClass.toMulZeroClass.{u3} K (MonoidWithZero.toMulZeroOneClass.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u1} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (Module.toMulActionWithZero.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)))) c x)) (Sup.sup.{u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (SemilatticeSup.toHasSup.{u1} (Submodule.{u3, u1} K E 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(Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)))) a x) (SMul.smul.{u3, u1} K E (SMulZeroClass.toHasSmul.{u3, u1} K E (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u3, u1} K E (MulZeroClass.toHasZero.{u3} K (MulZeroOneClass.toMulZeroClass.{u3} K (MonoidWithZero.toMulZeroOneClass.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u1} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (Module.toMulActionWithZero.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)))) c x))) (Submodule.mem_span_singleton.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9 (SMul.smul.{u3, u1} K E (SMulZeroClass.toHasSmul.{u3, u1} K E (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u3, u1} K E (MulZeroClass.toHasZero.{u3} K (MulZeroOneClass.toMulZeroClass.{u3} K (MonoidWithZero.toMulZeroOneClass.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u1} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (Module.toMulActionWithZero.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)))) c x) x) (Exists.intro.{succ u3} K (fun (a : K) => Eq.{succ u1} E (SMul.smul.{u3, u1} K E (SMulZeroClass.toHasSmul.{u3, u1} K E (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u3, u1} K E (MulZeroClass.toHasZero.{u3} K (MulZeroOneClass.toMulZeroClass.{u3} K (MonoidWithZero.toMulZeroOneClass.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u1} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (Module.toMulActionWithZero.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)))) a x) (SMul.smul.{u3, u1} K E (SMulZeroClass.toHasSmul.{u3, u1} K E (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u3, u1} K E (MulZeroClass.toHasZero.{u3} K (MulZeroOneClass.toMulZeroClass.{u3} K (MonoidWithZero.toMulZeroOneClass.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u1} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (Module.toMulActionWithZero.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)))) c x)) c (rfl.{succ u1} E (SMul.smul.{u3, u1} K E (SMulZeroClass.toHasSmul.{u3, u1} K E (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u3, u1} K E (MulZeroClass.toHasZero.{u3} K (MulZeroOneClass.toMulZeroClass.{u3} K (MonoidWithZero.toMulZeroOneClass.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u1} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (Module.toMulActionWithZero.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)))) c x)))) (rfl.{succ u1} E (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toHasAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2))))) x' (SMul.smul.{u3, u1} K E (SMulZeroClass.toHasSmul.{u3, u1} K E (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u3, u1} K E (MulZeroClass.toHasZero.{u3} K (MulZeroOneClass.toMulZeroClass.{u3} K (MonoidWithZero.toMulZeroOneClass.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u1} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (Module.toMulActionWithZero.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)))) c x)))))))))) (HAdd.hAdd.{u2, u2, u2} F F F (instHAdd.{u2} F (AddZeroClass.toHasAdd.{u2} F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearPMap.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) (fun (f : LinearPMap.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) => (coeSort.{succ u1, succ (succ u1)} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)) (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f)) -> F) (LinearPMap.hasCoeToFun.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) f (Subtype.mk.{succ u1} E (fun (x : E) => Membership.Mem.{u1, u1} E (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (SetLike.hasMem.{u1, u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)) x (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f)) x' hx')) (SMul.smul.{u3, u2} K F (SMulZeroClass.toHasSmul.{u3, u2} K F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)))) (SMulWithZero.toSmulZeroClass.{u3, u2} K F (MulZeroClass.toHasZero.{u3} K (MulZeroOneClass.toMulZeroClass.{u3} K (MonoidWithZero.toMulZeroOneClass.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)))) (MulActionWithZero.toSMulWithZero.{u3, u2} K F (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)))) (Module.toMulActionWithZero.{u3, u2} K F (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_10)))) c y))
 but is expected to have type
-  forall {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] {K : Type.{u3}} [_inst_8 : DivisionRing.{u3} K] [_inst_9 : Module.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_10 : Module.{u3, u1} K F (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) (x : E) (y : F) (hx : Not (Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) E (Submodule.instSetLikeSubmodule.{u3, u2} 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_inst_8))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x)) (Iff.mpr (Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) E (Submodule.instSetLikeSubmodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9)) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E 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(MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x))))) hx' (Exists.intro.{succ u2} E (fun (z : E) 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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (Module.toMulActionWithZero.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) a x) (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (Module.toMulActionWithZero.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x)) c (rfl.{succ u2} E (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (Module.toMulActionWithZero.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x)))) (rfl.{succ u2} E (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))))) x' (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (Module.toMulActionWithZero.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x)))))))))) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_4)))))) (LinearPMap.toFun'.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f (Subtype.mk.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) E (Submodule.instSetLikeSubmodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9)) x (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f)) x' hx')) (HSMul.hSMul.{u3, u1, u1} K F F (instHSMul.{u3, u1} K F (SMulZeroClass.toSMul.{u3, u1} K F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u1} K F (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u1} K F (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (Module.toMulActionWithZero.{u3, u1} K F (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_10))))) c y))
+  forall {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] {K : Type.{u3}} [_inst_8 : DivisionRing.{u3} K] [_inst_9 : Module.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_10 : Module.{u3, u1} K F (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) (x : E) (y : F) (hx : Not (Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9)) x (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f))) (x' : E) (hx' : Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9)) x' (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f)) (c : K), Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 (LinearPMap.supSpanSingleton.{u2, u1, u3} E _inst_2 F _inst_4 K _inst_8 _inst_9 _inst_10 f x y hx) (Subtype.mk.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9)) x_1 (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 (LinearPMap.supSpanSingleton.{u2, u1, u3} E _inst_2 F _inst_4 K _inst_8 _inst_9 _inst_10 f x y hx))) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) x' (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x)) (Iff.mpr (Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9)) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) x' (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x)) (Sup.sup.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SemilatticeSup.toSup.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (Lattice.toSemilatticeSup.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (ConditionallyCompleteLattice.toLattice.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (Submodule.completeLattice.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f) (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 (LinearPMap.mkSpanSingleton.{u3, u2, u1} K E F _inst_8 _inst_2 _inst_9 _inst_4 _inst_10 x y (LinearPMap.supSpanSingleton.proof_1.{u2, u3, u1} E _inst_2 F _inst_4 K _inst_8 _inst_9 _inst_10 f x hx))))) (Exists.{succ u2} E (fun (y_1 : E) => And (Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9)) y_1 (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f)) (Exists.{succ u2} E (fun (z : E) => And (Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9)) z (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 (LinearPMap.mkSpanSingleton.{u3, u2, u1} K E F _inst_8 _inst_2 _inst_9 _inst_4 _inst_10 x y (LinearPMap.supSpanSingleton.proof_1.{u2, u3, u1} E _inst_2 F _inst_4 K _inst_8 _inst_9 _inst_10 f x hx)))) (Eq.{succ u2} E (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))))) y_1 z) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) x' (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E 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(HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) x' (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E 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_inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (Module.toMulActionWithZero.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x) (And.intro (Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9)) (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E 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_inst_2 _inst_9 _inst_4 _inst_10 x y (LinearPMap.supSpanSingleton.proof_1.{u2, u3, u1} E _inst_2 F _inst_4 K _inst_8 _inst_9 _inst_10 f x hx)))) (Eq.{succ u2} E (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))))) x' (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddMonoid.toZero.{u2} E 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(DivisionRing.toRing.{u3} K _inst_8))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (Module.toMulActionWithZero.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x))) (Submodule.mem_span_singleton.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9 (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E 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(Module.toMulActionWithZero.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x)))) (rfl.{succ u2} E (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))))) x' (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (Module.toMulActionWithZero.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x)))))))))) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_4)))))) (LinearPMap.toFun'.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f (Subtype.mk.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9)) x (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f)) x' hx')) (HSMul.hSMul.{u3, u1, u1} K F F (instHSMul.{u3, u1} K F (SMulZeroClass.toSMul.{u3, u1} K F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u1} K F (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u1} K F (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (Module.toMulActionWithZero.{u3, u1} K F (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_10))))) c y))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.sup_span_singleton_apply_mk LinearPMap.supSpanSingleton_apply_mkₓ'. -/
 @[simp]
 theorem supSpanSingleton_apply_mk (f : E →ₗ.[K] F) (x : E) (y : F) (hx : x ∉ f.domain) (x' : E)
@@ -799,7 +795,7 @@ protected theorem supₛ_le {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤
 lean 3 declaration is
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_inst_4 _inst_5)) (Set.hasMem.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) l c) (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l)), Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) 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 but is expected to have type
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_inst_3 F _inst_4 _inst_5 l)) x)))) (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l x)
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {c : Set.{max u3 u2} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)} (hc : DirectedOn.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.10687 : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.10689 : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => LE.le.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.10687 x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.10689) c) {l : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} (hl : Membership.mem.{max u2 u3, max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (Set.{max u3 u2} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) (Set.instMembershipSet.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) l c) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))), Eq.{succ u3} F (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc) (Subtype.mk.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc))) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))) x) (And.left (LE.le.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.completeLattice.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc))) (forall {{x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))}} {{y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc)))}}, (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc)))) y)) -> (Eq.{succ u3} F (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l x) (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc) y))) (LinearPMap.le_supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc l hl) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))) x) (Subtype.property.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l)) x)))) (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l x)
 Case conversion may be inaccurate. Consider using '#align linear_pmap.Sup_apply LinearPMap.supₛ_applyₓ'. -/
 protected theorem supₛ_apply {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {l : E →ₗ.[R] F}
     (hl : l ∈ c) (x : l.domain) :
@@ -825,7 +821,7 @@ def toPMap (f : E →ₗ[R] F) (p : Submodule R E) : E →ₗ.[R] F :=
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (f : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) (p : Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) p), Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearMap.toPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f p) x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) (fun (_x : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R E F (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) f ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) p) E (HasLiftT.mk.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) p) E (CoeTCₓ.coe.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) p) E (coeBase.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) p) E (coeSubtype.{succ u2} E (fun (x : E) => Membership.Mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p))))) x))
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (p : Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p)), Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearMap.toPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f p) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R E F (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) f (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) p)) x))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (p : Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p)), Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearMap.toPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f p) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R E F (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) f (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) p)) x))
 Case conversion may be inaccurate. Consider using '#align linear_map.to_pmap_apply LinearMap.toPMap_applyₓ'. -/
 @[simp]
 theorem toPMap_apply (f : E →ₗ[R] F) (p : Submodule R E) (x : p) : f.toPMap p x = f x :=
@@ -845,7 +841,7 @@ def compPMap (g : F →ₗ[R] G) (f : E →ₗ.[R] F) : E →ₗ.[R] G
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {G : Type.{u4}} [_inst_6 : AddCommGroup.{u4} G] [_inst_7 : Module.{u1, u4} R G (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u4} G _inst_6)] (g : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) F G (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u4} G _inst_6) _inst_5 _inst_7) (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u4} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7 (LinearMap.compPMap.{u1, u2, u3, u4} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 G _inst_6 _inst_7 g f))), Eq.{succ u4} G (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (LinearPMap.{u1, u2, u4} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7) (fun (f : LinearPMap.{u1, u2, u4} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u4} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7 f)) -> G) (LinearPMap.hasCoeToFun.{u1, u2, u4} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7) (LinearMap.compPMap.{u1, u2, u3, u4} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 G _inst_6 _inst_7 g f) x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) F G (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u4} G _inst_6) _inst_5 _inst_7) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) F G (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u4} G _inst_6) _inst_5 _inst_7) => F -> G) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R F G (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u4} G _inst_6) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) g (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f x))
 but is expected to have type
-  forall {R : Type.{u4}} [_inst_1 : Ring.{u4} R] {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u4, u3} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {G : Type.{u2}} [_inst_6 : AddCommGroup.{u2} G] [_inst_7 : Module.{u4, u2} R G (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6)] (g : LinearMap.{u4, u4, u3, u2} R R (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) F G (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6) _inst_5 _inst_7) (f : LinearPMap.{u4, u1, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u1, u2} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7 (LinearMap.compPMap.{u4, u1, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 G _inst_6 _inst_7 g f)))), Eq.{succ u2} G (LinearPMap.toFun'.{u4, u1, u2} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7 (LinearMap.compPMap.{u4, u1, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 G _inst_6 _inst_7 g f) x) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} R R (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) F G (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6) _inst_5 _inst_7) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : F) => G) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} R R F G (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6) _inst_5 _inst_7 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1)))) g (LinearPMap.toFun'.{u4, u1, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
+  forall {R : Type.{u4}} [_inst_1 : Ring.{u4} R] {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u4, u3} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {G : Type.{u2}} [_inst_6 : AddCommGroup.{u2} G] [_inst_7 : Module.{u4, u2} R G (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6)] (g : LinearMap.{u4, u4, u3, u2} R R (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) F G (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6) _inst_5 _inst_7) (f : LinearPMap.{u4, u1, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.setLike.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u1, u2} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7 (LinearMap.compPMap.{u4, u1, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 G _inst_6 _inst_7 g f)))), Eq.{succ u2} G (LinearPMap.toFun'.{u4, u1, u2} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7 (LinearMap.compPMap.{u4, u1, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 G _inst_6 _inst_7 g f) x) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} R R (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) F G (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6) _inst_5 _inst_7) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : F) => G) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} R R F G (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6) _inst_5 _inst_7 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1)))) g (LinearPMap.toFun'.{u4, u1, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
 Case conversion may be inaccurate. Consider using '#align linear_map.comp_pmap_apply LinearMap.compPMap_applyₓ'. -/
 @[simp]
 theorem compPMap_apply (g : F →ₗ[R] G) (f : E →ₗ.[R] F) (x) : g.compPMap f x = g (f x) :=
@@ -860,7 +856,7 @@ namespace LinearPMap
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (p : Submodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5), (forall (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)), Membership.Mem.{u3, u3} F (Submodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5) (SetLike.hasMem.{u3, u3} (Submodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5) F (Submodule.setLike.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f x) p) -> (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 (coeSort.{succ u3, succ (succ u3)} (Submodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5) Type.{u3} (SetLike.hasCoeToSort.{u3, u3} (Submodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5) F (Submodule.setLike.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5)) p) (Submodule.addCommGroup.{u1, u3} R F _inst_1 _inst_4 _inst_5 p) (Submodule.module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5 p))
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (p : Submodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5), (forall (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))), Membership.mem.{u3, u3} F (Submodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5) (SetLike.instMembership.{u3, u3} (Submodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5) F (Submodule.instSetLikeSubmodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5)) (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) p) -> (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 (Subtype.{succ u3} F (fun (x : F) => Membership.mem.{u3, u3} F (Submodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5) (SetLike.instMembership.{u3, u3} (Submodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5) F (Submodule.instSetLikeSubmodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5)) x p)) (Submodule.instAddCommGroupSubtypeMemSubmoduleToSemiringToAddCommMonoidInstMembershipInstSetLikeSubmodule.{u1, u3} R F _inst_1 _inst_4 _inst_5 p) (Submodule.instModuleSubtypeMemSubmoduleInstMembershipInstSetLikeSubmoduleInstAddCommMonoidSubtypeMemSubmoduleInstMembershipInstSetLikeSubmodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5 p))
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (p : Submodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5), (forall (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))), Membership.mem.{u3, u3} F (Submodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5) (SetLike.instMembership.{u3, u3} (Submodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5) F (Submodule.setLike.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5)) (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) p) -> (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 (Subtype.{succ u3} F (fun (x : F) => Membership.mem.{u3, u3} F (Submodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5) (SetLike.instMembership.{u3, u3} (Submodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5) F (Submodule.setLike.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5)) x p)) (Submodule.addCommGroup.{u1, u3} R F _inst_1 _inst_4 _inst_5 p) (Submodule.module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5 p))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.cod_restrict LinearPMap.codRestrictₓ'. -/
 /-- Restrict codomain of a `linear_pmap` -/
 def codRestrict (f : E →ₗ.[R] F) (p : Submodule R F) (H : ∀ x, f x ∈ p) : E →ₗ.[R] p
@@ -873,7 +869,7 @@ def codRestrict (f : E →ₗ.[R] F) (p : Submodule R F) (H : ∀ x, f x ∈ p)
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {G : Type.{u4}} [_inst_6 : AddCommGroup.{u4} G] [_inst_7 : Module.{u1, u4} R G (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u4} G _inst_6)] (g : LinearPMap.{u1, u3, u4} R _inst_1 F _inst_4 _inst_5 G _inst_6 _inst_7) (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5), (forall (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)), Membership.Mem.{u3, u3} F (Submodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5) (SetLike.hasMem.{u3, u3} (Submodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5) F (Submodule.setLike.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f x) (LinearPMap.domain.{u1, u3, u4} R _inst_1 F _inst_4 _inst_5 G _inst_6 _inst_7 g)) -> (LinearPMap.{u1, u2, u4} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7)
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {G : Type.{u4}} [_inst_6 : AddCommGroup.{u4} G] [_inst_7 : Module.{u1, u4} R G (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u4} G _inst_6)] (g : LinearPMap.{u1, u3, u4} R _inst_1 F _inst_4 _inst_5 G _inst_6 _inst_7) (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5), (forall (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))), Membership.mem.{u3, u3} F (Submodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5) (SetLike.instMembership.{u3, u3} (Submodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5) F (Submodule.instSetLikeSubmodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5)) (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (LinearPMap.domain.{u1, u3, u4} R _inst_1 F _inst_4 _inst_5 G _inst_6 _inst_7 g)) -> (LinearPMap.{u1, u2, u4} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7)
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {G : Type.{u4}} [_inst_6 : AddCommGroup.{u4} G] [_inst_7 : Module.{u1, u4} R G (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u4} G _inst_6)] (g : LinearPMap.{u1, u3, u4} R _inst_1 F _inst_4 _inst_5 G _inst_6 _inst_7) (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5), (forall (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))), Membership.mem.{u3, u3} F (Submodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5) (SetLike.instMembership.{u3, u3} (Submodule.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5) F (Submodule.setLike.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5)) (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (LinearPMap.domain.{u1, u3, u4} R _inst_1 F _inst_4 _inst_5 G _inst_6 _inst_7 g)) -> (LinearPMap.{u1, u2, u4} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7)
 Case conversion may be inaccurate. Consider using '#align linear_pmap.comp LinearPMap.compₓ'. -/
 /-- Compose two `linear_pmap`s -/
 def comp (g : F →ₗ.[R] G) (f : E →ₗ.[R] F) (H : ∀ x : f.domain, f x ∈ g.domain) : E →ₗ.[R] G :=
@@ -900,7 +896,7 @@ def coprod (f : E →ₗ.[R] G) (g : F →ₗ.[R] G) : E × F →ₗ.[R] G
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {G : Type.{u4}} [_inst_6 : AddCommGroup.{u4} G] [_inst_7 : Module.{u1, u4} R G (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u4} G _inst_6)] (f : LinearPMap.{u1, u2, u4} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7) (g : LinearPMap.{u1, u3, u4} R _inst_1 F _inst_4 _inst_5 G _inst_6 _inst_7) (x : coeSort.{succ (max u2 u3), succ (succ (max u2 u3))} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{max u2 u3} (Prod.{u2, u3} E F) (Prod.addCommGroup.{u2, u3} E F _inst_2 _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) 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 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.coprod_apply LinearPMap.coprod_applyₓ'. -/
 @[simp]
 theorem coprod_apply (f : E →ₗ.[R] G) (g : F →ₗ.[R] G) (x) :
@@ -931,7 +927,7 @@ theorem domRestrict_domain (f : E →ₗ.[R] F) {S : Submodule R E} :
 lean 3 declaration is
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+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] {f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {S : Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3} {{x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (Inf.inf.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.instInfSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) S (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)))}} {{y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))}}, (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Inf.inf.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.instInfSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) S (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) y)) -> (Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.domRestrict.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f S) x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f y))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.dom_restrict_apply LinearPMap.domRestrict_applyₓ'. -/
 theorem domRestrict_apply {f : E →ₗ.[R] F} {S : Submodule R E} ⦃x : S ⊓ f.domain⦄ ⦃y : f.domain⦄
     (h : (x : E) = y) : f.domRestrict S x = f y :=
@@ -973,7 +969,7 @@ def graph (f : E →ₗ.[R] F) : Submodule R (E × F) :=
 lean 3 declaration is
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 but is expected to have type
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+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) {x : Prod.{u2, u1} E F}, Iff (Membership.mem.{max u2 u1, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.setLike.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) x (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (Exists.{succ u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (fun (y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) => Eq.{max (succ u2) (succ u1)} (Prod.{u2, u1} E F) (Prod.mk.{u2, u1} E F (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) y) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f y)) x))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.mem_graph_iff' LinearPMap.mem_graph_iff'ₓ'. -/
 theorem mem_graph_iff' (f : E →ₗ.[R] F) {x : E × F} : x ∈ f.graph ↔ ∃ y : f.domain, (↑y, f y) = x :=
   by simp [graph]
@@ -983,7 +979,7 @@ theorem mem_graph_iff' (f : E →ₗ.[R] F) {x : E × F} : x ∈ f.graph ↔ ∃
 lean 3 declaration is
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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f y) (Prod.snd.{u2, u3} E F x))))
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) {x : Prod.{u2, u1} E F}, Iff (Membership.mem.{max u2 u1, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.instSetLikeSubmodule.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) x (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (Exists.{succ u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (fun (y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) => And (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) y) (Prod.fst.{u2, u1} E F x)) (Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f y) (Prod.snd.{u2, u1} E F x))))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) {x : Prod.{u2, u1} E F}, Iff (Membership.mem.{max u2 u1, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.setLike.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) x (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (Exists.{succ u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (fun (y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) => And (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) y) (Prod.fst.{u2, u1} E F x)) (Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f y) (Prod.snd.{u2, u1} E F x))))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.mem_graph_iff LinearPMap.mem_graph_iffₓ'. -/
 @[simp]
 theorem mem_graph_iff (f : E →ₗ.[R] F) {x : E × F} :
@@ -997,7 +993,7 @@ theorem mem_graph_iff (f : E →ₗ.[R] F) {x : E × F} :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)), Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u3} E F ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) E (HasLiftT.mk.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} 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(coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) E (coeSubtype.{succ u2} E (fun (x : E) => Membership.Mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)))))) x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f x)) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))), Membership.mem.{max u1 u2, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.instSetLikeSubmodule.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u1} E F (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)) (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))), Membership.mem.{max u1 u2, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.setLike.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u1} E F (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)) (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)
 Case conversion may be inaccurate. Consider using '#align linear_pmap.mem_graph LinearPMap.mem_graphₓ'. -/
 /-- The tuple `(x, f x)` is contained in the graph of `f`. -/
 theorem mem_graph (f : E →ₗ.[R] F) (x : domain f) : ((x : E), f x) ∈ f.graph := by simp
@@ -1074,7 +1070,7 @@ theorem neg_graph (f : E →ₗ.[R] F) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) {x : E} {y : E} {x' : F} {y' : F}, (Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u3} E F x x') (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> (Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u3} E F y y') (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> (Eq.{succ u2} E x y) -> (Eq.{succ u3} F x' y')
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) {x : E} {y : E} {x' : F} {y' : F}, (Membership.mem.{max u1 u2, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.instSetLikeSubmodule.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u1} E F x x') (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> (Membership.mem.{max u1 u2, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.instSetLikeSubmodule.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u1} E F y y') (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> (Eq.{succ u2} E x y) -> (Eq.{succ u1} F x' y')
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) {x : E} {y : E} {x' : F} {y' : F}, (Membership.mem.{max u1 u2, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.setLike.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u1} E F x x') (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> (Membership.mem.{max u1 u2, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.setLike.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u1} E F y y') (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> (Eq.{succ u2} E x y) -> (Eq.{succ u1} F x' y')
 Case conversion may be inaccurate. Consider using '#align linear_pmap.mem_graph_snd_inj LinearPMap.mem_graph_snd_injₓ'. -/
 theorem mem_graph_snd_inj (f : E →ₗ.[R] F) {x y : E} {x' y' : F} (hx : (x, x') ∈ f.graph)
     (hy : (y, y') ∈ f.graph) (hxy : x = y) : x' = y' :=
@@ -1091,7 +1087,7 @@ theorem mem_graph_snd_inj (f : E →ₗ.[R] F) {x y : E} {x' y' : F} (hx : (x, x
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) {x : Prod.{u2, u3} E F} {y : Prod.{u2, u3} E F}, (Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) x (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> (Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) y (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> (Eq.{succ u2} E (Prod.fst.{u2, u3} E F x) (Prod.fst.{u2, u3} E F y)) -> (Eq.{succ u3} F (Prod.snd.{u2, u3} E F x) (Prod.snd.{u2, u3} E F y))
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) {x : Prod.{u2, u1} E F} {y : Prod.{u2, u1} E F}, (Membership.mem.{max u2 u1, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.instSetLikeSubmodule.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) x (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> (Membership.mem.{max u2 u1, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.instSetLikeSubmodule.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) y (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> (Eq.{succ u2} E (Prod.fst.{u2, u1} E F x) (Prod.fst.{u2, u1} E F y)) -> (Eq.{succ u1} F (Prod.snd.{u2, u1} E F x) (Prod.snd.{u2, u1} E F y))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) {x : Prod.{u2, u1} E F} {y : Prod.{u2, u1} E F}, (Membership.mem.{max u2 u1, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.setLike.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) x (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> (Membership.mem.{max u2 u1, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.setLike.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) y (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> (Eq.{succ u2} E (Prod.fst.{u2, u1} E F x) (Prod.fst.{u2, u1} E F y)) -> (Eq.{succ u1} F (Prod.snd.{u2, u1} E F x) (Prod.snd.{u2, u1} E F y))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.mem_graph_snd_inj' LinearPMap.mem_graph_snd_inj'ₓ'. -/
 theorem mem_graph_snd_inj' (f : E →ₗ.[R] F) {x y : E × F} (hx : x ∈ f.graph) (hy : y ∈ f.graph)
     (hxy : x.1 = y.1) : x.2 = y.2 := by
@@ -1104,7 +1100,7 @@ theorem mem_graph_snd_inj' (f : E →ₗ.[R] F) {x y : E × F} (hx : x ∈ f.gra
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) {x : E} {x' : F}, (Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u3} E F x x') (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> (Eq.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))))))) -> (Eq.{succ u3} F x' (OfNat.ofNat.{u3} F 0 (OfNat.mk.{u3} F 0 (Zero.zero.{u3} F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))))))))
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) {x : E} {x' : F}, (Membership.mem.{max u1 u2, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.instSetLikeSubmodule.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u1} E F x x') (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> (Eq.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2)))))))) -> (Eq.{succ u1} F x' (OfNat.ofNat.{u1} F 0 (Zero.toOfNat0.{u1} F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))))))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) {x : E} {x' : F}, (Membership.mem.{max u1 u2, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.setLike.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u1} E F x x') (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> (Eq.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2)))))))) -> (Eq.{succ u1} F x' (OfNat.ofNat.{u1} F 0 (Zero.toOfNat0.{u1} F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))))))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.graph_fst_eq_zero_snd LinearPMap.graph_fst_eq_zero_sndₓ'. -/
 /-- The property that `f 0 = 0` in terms of the graph. -/
 theorem graph_fst_eq_zero_snd (f : E →ₗ.[R] F) {x : E} {x' : F} (h : (x, x') ∈ f.graph)
@@ -1116,7 +1112,7 @@ theorem graph_fst_eq_zero_snd (f : E →ₗ.[R] F) {x : E} {x' : F} (h : (x, x')
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {x : E}, Iff (Membership.Mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (Exists.{succ u3} F (fun (y : F) => Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u3} E F x y) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)))
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] {f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {x : E}, Iff (Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (Exists.{succ u1} F (fun (y : F) => Membership.mem.{max u1 u2, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.instSetLikeSubmodule.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u1} E F x y) (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] {f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {x : E}, Iff (Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (Exists.{succ u1} F (fun (y : F) => Membership.mem.{max u1 u2, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.setLike.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u1} E F x y) (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.mem_domain_iff LinearPMap.mem_domain_iffₓ'. -/
 theorem mem_domain_iff {f : E →ₗ.[R] F} {x : E} : x ∈ f.domain ↔ ∃ y : F, (x, y) ∈ f.graph :=
   by
@@ -1135,7 +1131,7 @@ theorem mem_domain_iff {f : E →ₗ.[R] F} {x : E} : x ∈ f.domain ↔ ∃ y :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {x : E} {y : F}, (Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u3} E F x y) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> (Membership.Mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] {f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {x : E} {y : F}, (Membership.mem.{max u1 u2, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.instSetLikeSubmodule.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u1} E F x y) (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> (Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] {f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {x : E} {y : F}, (Membership.mem.{max u1 u2, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.setLike.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u1} E F x y) (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> (Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.mem_domain_of_mem_graph LinearPMap.mem_domain_of_mem_graphₓ'. -/
 theorem mem_domain_of_mem_graph {f : E →ₗ.[R] F} {x : E} {y : F} (h : (x, y) ∈ f.graph) :
     x ∈ f.domain := by
@@ -1147,7 +1143,7 @@ theorem mem_domain_of_mem_graph {f : E →ₗ.[R] F} {x : E} {y : F} (h : (x, y)
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {x : E} {y : F} (hx : Membership.Mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)), Iff (Eq.{succ u3} F y (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f (Subtype.mk.{succ u2} E (fun (x : E) => Membership.Mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) x hx))) (Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u3} E F x y) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] {f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {x : E} {y : F} (hx : Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)), Iff (Eq.{succ u1} F y (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Subtype.mk.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) x hx))) (Membership.mem.{max u1 u2, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.instSetLikeSubmodule.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u1} E F x y) (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] {f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {x : E} {y : F} (hx : Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)), Iff (Eq.{succ u1} F y (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Subtype.mk.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) x hx))) (Membership.mem.{max u1 u2, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.setLike.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u1} E F x y) (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.image_iff LinearPMap.image_iffₓ'. -/
 theorem image_iff {f : E →ₗ.[R] F} {x : E} {y : F} (hx : x ∈ f.domain) :
     y = f ⟨x, hx⟩ ↔ (x, y) ∈ f.graph := by
@@ -1164,7 +1160,7 @@ theorem image_iff {f : E →ₗ.[R] F} {x : E} {y : F} (hx : x ∈ f.domain) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {y : F}, Iff (Membership.Mem.{u3, u3} F (Set.{u3} F) (Set.hasMem.{u3} F) y (Set.range.{u3, succ u2} F (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f))) (Exists.{succ u2} E (fun (x : E) => Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u3} E F x y) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)))
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] {f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {y : F}, Iff (Membership.mem.{u1, u1} F (Set.{u1} F) (Set.instMembershipSet.{u1} F) y (Set.range.{u1, succ u2} F (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (Exists.{succ u2} E (fun (x : E) => Membership.mem.{max u1 u2, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.instSetLikeSubmodule.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u1} E F x y) (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] {f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {y : F}, Iff (Membership.mem.{u1, u1} F (Set.{u1} F) (Set.instMembershipSet.{u1} F) y (Set.range.{u1, succ u2} F (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (Exists.{succ u2} E (fun (x : E) => Membership.mem.{max u1 u2, max u2 u1} (Prod.{u2, u1} E F) (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u1} E F) (Submodule.setLike.{u3, max u2 u1} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u1} E F x y) (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.mem_range_iff LinearPMap.mem_range_iffₓ'. -/
 theorem mem_range_iff {f : E →ₗ.[R] F} {y : F} : y ∈ Set.range f ↔ ∃ x : E, (x, y) ∈ f.graph :=
   by
@@ -1187,7 +1183,7 @@ theorem mem_range_iff {f : E →ₗ.[R] F} {y : F} : y ∈ Set.range f ↔ ∃ x
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {g : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5}, (Eq.{succ (max u2 u3)} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)) -> (forall {x : E}, Iff (Membership.Mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (Membership.Mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)))
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] {f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {g : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5}, (Eq.{max (succ u2) (succ u1)} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)) -> (forall {x : E}, Iff (Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] {f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {g : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5}, (Eq.{max (succ u2) (succ u1)} (Submodule.{u3, max u1 u2} R (Prod.{u2, u1} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u1} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)) (Prod.module.{u3, u2, u1} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5)) (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.graph.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)) -> (forall {x : E}, Iff (Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.mem_domain_iff_of_eq_graph LinearPMap.mem_domain_iff_of_eq_graphₓ'. -/
 theorem mem_domain_iff_of_eq_graph {f g : E →ₗ.[R] F} (h : f.graph = g.graph) {x : E} :
     x ∈ f.domain ↔ x ∈ g.domain := by simp_rw [mem_domain_iff, h]
@@ -1270,7 +1266,7 @@ section SubmoduleToLinearPmap
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {g : Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)}, (forall {x : Prod.{u2, u3} E F}, (Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u2} E (Prod.fst.{u2, u3} E F x) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))))))) -> (Eq.{succ u3} F (Prod.snd.{u2, u3} E F x) (OfNat.ofNat.{u3} F 0 (OfNat.mk.{u3} F 0 (Zero.zero.{u3} F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))))))))) -> (forall {a : E}, (Membership.Mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) a (Submodule.map.{u1, u1, max u2 u3, u2, max u2 u3} R R (Prod.{u2, u3} E F) E (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (RingHomSurjective.ids.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (LinearMap.{u1, u1, max u2 u3, u2} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Prod.{u2, u3} E F) E (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E 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(AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) g)) -> (ExistsUnique.{succ u3} F (fun (b : F) => Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u3} E F a b) g)))
 but is expected to have type
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(Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u1} E (Prod.fst.{u1, u2} E F x) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2)))))))) -> (Eq.{succ u2} F (Prod.snd.{u1, u2} E F x) (OfNat.ofNat.{u2} F 0 (Zero.toOfNat0.{u2} F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))))))) -> (forall {a : E}, (Membership.mem.{u1, u1} E (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) a (Submodule.map.{u3, u3, max u1 u2, u1, max u1 u2} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (LinearMap.{u3, u3, max u2 u1, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (Prod.{u1, u2} E F) E (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.instSemilinearMapClassLinearMap.{u3, u3, max u1 u2, u1} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) (LinearMap.fst.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) g)) -> (ExistsUnique.{succ u2} F (fun (b : F) => Membership.mem.{max u2 u1, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.instSetLikeSubmodule.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u1, u2} E F a b) g)))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u3, u2} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] {g : Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)}, (forall {x : Prod.{u1, u2} E F}, (Membership.mem.{max u1 u2, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.setLike.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u1} E (Prod.fst.{u1, u2} E F x) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2)))))))) -> (Eq.{succ u2} F (Prod.snd.{u1, u2} E F x) (OfNat.ofNat.{u2} F 0 (Zero.toOfNat0.{u2} F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))))))) -> (forall {a : E}, (Membership.mem.{u1, u1} E (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) a (Submodule.map.{u3, u3, max u1 u2, u1, max u1 u2} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (LinearMap.{u3, u3, max u2 u1, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (Prod.{u1, u2} E F) E (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.instSemilinearMapClassLinearMap.{u3, u3, max u1 u2, u1} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) (LinearMap.fst.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) g)) -> (ExistsUnique.{succ u2} F (fun (b : F) => Membership.mem.{max u2 u1, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.setLike.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u1, u2} E F a b) g)))
 Case conversion may be inaccurate. Consider using '#align submodule.exists_unique_from_graph Submodule.existsUnique_from_graphₓ'. -/
 theorem existsUnique_from_graph {g : Submodule R (E × F)}
     (hg : ∀ {x : E × F} (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0) {a : E}
@@ -1290,7 +1286,7 @@ theorem existsUnique_from_graph {g : Submodule R (E × F)}
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {g : Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)}, (forall (x : Prod.{u2, u3} E F), (Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u2} E (Prod.fst.{u2, u3} E F x) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))))))) -> (Eq.{succ u3} F (Prod.snd.{u2, u3} E F x) (OfNat.ofNat.{u3} F 0 (OfNat.mk.{u3} F 0 (Zero.zero.{u3} F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))))))))) -> (forall {a : E}, (Membership.Mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) a (Submodule.map.{u1, u1, max u2 u3, u2, max u2 u3} R R (Prod.{u2, u3} E F) E (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Submodule.valFromGraph._proof_1.{u1} R _inst_1) (LinearMap.{u1, u1, max u2 u3, u2} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Prod.{u2, u3} E F) E (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.semilinearMapClass.{u1, u1, max u2 u3, u2} R R (Prod.{u2, u3} E F) E (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (LinearMap.fst.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) g)) -> F)
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {g : Submodule.{u1, max u3 u2} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)}, (forall (x : Prod.{u2, u3} E F), (Membership.mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u3 u2} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u3, max u2 u3} (Submodule.{u1, max u3 u2} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.instSetLikeSubmodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u2} E (Prod.fst.{u2, u3} E F x) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2)))))))) -> (Eq.{succ u3} F (Prod.snd.{u2, u3} E F x) (OfNat.ofNat.{u3} F 0 (Zero.toOfNat0.{u3} F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_4))))))))) -> (forall {a : E}, (Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) a (Submodule.map.{u1, u1, max u2 u3, u2, max u2 u3} R R (Prod.{u2, u3} E F) E (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (RingHomSurjective.ids.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (LinearMap.{u1, u1, max u3 u2, u2} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Prod.{u2, u3} E F) E (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, max u2 u3, u2} R R (Prod.{u2, u3} E F) E (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (LinearMap.fst.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) g)) -> F)
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {g : Submodule.{u1, max u3 u2} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)}, (forall (x : Prod.{u2, u3} E F), (Membership.mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u3 u2} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u3, max u2 u3} (Submodule.{u1, max u3 u2} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u2} E (Prod.fst.{u2, u3} E F x) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2)))))))) -> (Eq.{succ u3} F (Prod.snd.{u2, u3} E F x) (OfNat.ofNat.{u3} F 0 (Zero.toOfNat0.{u3} F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_4))))))))) -> (forall {a : E}, (Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) a (Submodule.map.{u1, u1, max u2 u3, u2, max u2 u3} R R (Prod.{u2, u3} E F) E (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (RingHomSurjective.ids.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (LinearMap.{u1, u1, max u3 u2, u2} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Prod.{u2, u3} E F) E (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, max u2 u3, u2} R R (Prod.{u2, u3} E F) E (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (LinearMap.fst.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) g)) -> F)
 Case conversion may be inaccurate. Consider using '#align submodule.val_from_graph Submodule.valFromGraphₓ'. -/
 /-- Auxiliary definition to unfold the existential quantifier. -/
 noncomputable def valFromGraph {g : Submodule R (E × F)}
@@ -1303,7 +1299,7 @@ noncomputable def valFromGraph {g : Submodule R (E × F)}
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {g : Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)} (hg : forall (x : Prod.{u2, u3} E F), (Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u2} E (Prod.fst.{u2, u3} E F x) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))))))) -> (Eq.{succ u3} F (Prod.snd.{u2, u3} E F x) (OfNat.ofNat.{u3} F 0 (OfNat.mk.{u3} F 0 (Zero.zero.{u3} F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))))))))) {a : E} (ha : Membership.Mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) a (Submodule.map.{u1, u1, max u2 u3, u2, max u2 u3} R R (Prod.{u2, u3} E F) E (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (RingHomSurjective.ids.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (LinearMap.{u1, u1, max u2 u3, u2} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Prod.{u2, u3} E F) E (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.semilinearMapClass.{u1, u1, max u2 u3, u2} R R (Prod.{u2, u3} E F) E (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (LinearMap.fst.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) g)), Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u3} E F a (Submodule.valFromGraph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g hg a ha)) g
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u3, u2} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] {g : Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)} (hg : forall (x : Prod.{u1, u2} E F), (Membership.mem.{max u1 u2, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.instSetLikeSubmodule.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u1} E (Prod.fst.{u1, u2} E F x) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2)))))))) -> (Eq.{succ u2} F (Prod.snd.{u1, u2} E F x) (OfNat.ofNat.{u2} F 0 (Zero.toOfNat0.{u2} F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))))))) {a : E} (ha : Membership.mem.{u1, u1} E (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) a (Submodule.map.{u3, u3, max u1 u2, u1, max u1 u2} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (LinearMap.{u3, u3, max u2 u1, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (Prod.{u1, u2} E F) E (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.instSemilinearMapClassLinearMap.{u3, u3, max u1 u2, u1} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) (LinearMap.fst.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) g)), Membership.mem.{max u2 u1, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.instSetLikeSubmodule.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u1, u2} E F a (Submodule.valFromGraph.{u3, u1, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g hg a ha)) g
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u3, u2} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] {g : Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)} (hg : forall (x : Prod.{u1, u2} E F), (Membership.mem.{max u1 u2, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.setLike.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u1} E (Prod.fst.{u1, u2} E F x) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2)))))))) -> (Eq.{succ u2} F (Prod.snd.{u1, u2} E F x) (OfNat.ofNat.{u2} F 0 (Zero.toOfNat0.{u2} F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))))))) {a : E} (ha : Membership.mem.{u1, u1} E (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) a (Submodule.map.{u3, u3, max u1 u2, u1, max u1 u2} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (LinearMap.{u3, u3, max u2 u1, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (Prod.{u1, u2} E F) E (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.instSemilinearMapClassLinearMap.{u3, u3, max u1 u2, u1} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) (LinearMap.fst.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) g)), Membership.mem.{max u2 u1, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.setLike.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u1, u2} E F a (Submodule.valFromGraph.{u3, u1, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g hg a ha)) g
 Case conversion may be inaccurate. Consider using '#align submodule.val_from_graph_mem Submodule.valFromGraph_memₓ'. -/
 theorem valFromGraph_mem {g : Submodule R (E × F)}
     (hg : ∀ (x : E × F) (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0) {a : E}
@@ -1315,7 +1311,7 @@ theorem valFromGraph_mem {g : Submodule R (E × F)}
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (g : Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)), (forall (x : Prod.{u2, u3} E F), (Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u2} E (Prod.fst.{u2, u3} E F x) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))))))) -> (Eq.{succ u3} F (Prod.snd.{u2, u3} E F x) (OfNat.ofNat.{u3} F 0 (OfNat.mk.{u3} F 0 (Zero.zero.{u3} F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))))))))) -> (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (g : Submodule.{u1, max u3 u2} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)), (forall (x : Prod.{u2, u3} E F), (Membership.mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u3 u2} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u3, max u2 u3} (Submodule.{u1, max u3 u2} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.instSetLikeSubmodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u2} E (Prod.fst.{u2, u3} E F x) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2)))))))) -> (Eq.{succ u3} F (Prod.snd.{u2, u3} E F x) (OfNat.ofNat.{u3} F 0 (Zero.toOfNat0.{u3} F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_4))))))))) -> (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (g : Submodule.{u1, max u3 u2} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)), (forall (x : Prod.{u2, u3} E F), (Membership.mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u3 u2} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u2 u3, max u2 u3} (Submodule.{u1, max u3 u2} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u2} E (Prod.fst.{u2, u3} E F x) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2)))))))) -> (Eq.{succ u3} F (Prod.snd.{u2, u3} E F x) (OfNat.ofNat.{u3} F 0 (Zero.toOfNat0.{u3} F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_4))))))))) -> (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)
 Case conversion may be inaccurate. Consider using '#align submodule.to_linear_pmap Submodule.toLinearPMapₓ'. -/
 /-- Define a `linear_pmap` from its graph. -/
 noncomputable def toLinearPMap (g : Submodule R (E × F))
@@ -1344,7 +1340,7 @@ noncomputable def toLinearPMap (g : Submodule R (E × F))
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (g : Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (hg : forall (x : Prod.{u2, u3} E F), (Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u2} E (Prod.fst.{u2, u3} E F x) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))))))) -> (Eq.{succ u3} F (Prod.snd.{u2, u3} E F x) (OfNat.ofNat.{u3} F 0 (OfNat.mk.{u3} F 0 (Zero.zero.{u3} F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))))))))) (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (Submodule.map.{u1, u1, max u2 u3, u2, max u2 u3} R R (Prod.{u2, u3} E F) E (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (RingHomSurjective.ids.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (LinearMap.{u1, u1, max u2 u3, u2} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Prod.{u2, u3} E F) E (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.semilinearMapClass.{u1, u1, max u2 u3, u2} R R (Prod.{u2, u3} E F) E (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (LinearMap.fst.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) g)), Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u3} E F (Subtype.val.{succ u2} E (fun (x : E) => Membership.Mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (Submodule.map.{u1, u1, max u2 u3, u2, max u2 u3} R R (Prod.{u2, u3} E F) E (Ring.toSemiring.{u1} R _inst_1) 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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.semilinearMapClass.{u1, u1, max u2 u3, u2} R R (Prod.{u2, u3} E F) E (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (LinearMap.fst.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) g)) x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 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 but is expected to have type
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(Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u1} E (Prod.fst.{u1, u2} E F x) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2)))))))) -> (Eq.{succ u2} F (Prod.snd.{u1, u2} E F x) (OfNat.ofNat.{u2} F 0 (Zero.toOfNat0.{u2} F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))))))) (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} 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_inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) (LinearMap.fst.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) g))), Membership.mem.{max u2 u1, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.instSetLikeSubmodule.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u1, u2} E F (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) x (Submodule.map.{u3, u3, max u1 u2, u1, max u1 u2} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (LinearMap.{u3, u3, max u2 u1, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (Prod.{u1, u2} E F) E (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.instSemilinearMapClassLinearMap.{u3, u3, max u1 u2, u1} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) (LinearMap.fst.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) g)) x) (LinearPMap.toFun'.{u3, u1, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (Submodule.toLinearPMap.{u3, u1, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g hg) x)) g
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u3, u2} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] (g : Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (hg : forall (x : Prod.{u1, u2} E F), (Membership.mem.{max u1 u2, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.setLike.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u1} E (Prod.fst.{u1, u2} E F x) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2)))))))) -> (Eq.{succ u2} F (Prod.snd.{u1, u2} E F x) (OfNat.ofNat.{u2} F 0 (Zero.toOfNat0.{u2} F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))))))) (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) x (Submodule.map.{u3, u3, max u1 u2, u1, max u1 u2} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (LinearMap.{u3, u3, max u2 u1, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (Prod.{u1, u2} E F) E (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.instSemilinearMapClassLinearMap.{u3, u3, max u1 u2, u1} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) (LinearMap.fst.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) g))), Membership.mem.{max u2 u1, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.setLike.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u1, u2} E F (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.setLike.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) x (Submodule.map.{u3, u3, max u1 u2, u1, max u1 u2} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (LinearMap.{u3, u3, max u2 u1, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (Prod.{u1, u2} E F) E (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.instSemilinearMapClassLinearMap.{u3, u3, max u1 u2, u1} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) (LinearMap.fst.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) g)) x) (LinearPMap.toFun'.{u3, u1, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (Submodule.toLinearPMap.{u3, u1, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g hg) x)) g
 Case conversion may be inaccurate. Consider using '#align submodule.mem_graph_to_linear_pmap Submodule.mem_graph_toLinearPMapₓ'. -/
 theorem mem_graph_toLinearPMap (g : Submodule R (E × F))
     (hg : ∀ (x : E × F) (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0)
@@ -1356,7 +1352,7 @@ theorem mem_graph_toLinearPMap (g : Submodule R (E × F))
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (g : Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (hg : forall (x : Prod.{u2, u3} E F), (Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u2} E (Prod.fst.{u2, u3} E F x) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))))))) -> (Eq.{succ u3} F (Prod.snd.{u2, u3} E F x) (OfNat.ofNat.{u3} F 0 (OfNat.mk.{u3} F 0 (Zero.zero.{u3} F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))))))))), Eq.{succ (max u2 u3)} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (Submodule.toLinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g hg)) g
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u3, u2} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] (g : Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (hg : forall (x : Prod.{u1, u2} E F), (Membership.mem.{max u1 u2, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.instSetLikeSubmodule.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u1} E (Prod.fst.{u1, u2} E F x) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2)))))))) -> (Eq.{succ u2} F (Prod.snd.{u1, u2} E F x) (OfNat.ofNat.{u2} F 0 (Zero.toOfNat0.{u2} F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))))))), Eq.{max (succ u1) (succ u2)} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (LinearPMap.graph.{u3, u1, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (Submodule.toLinearPMap.{u3, u1, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g hg)) g
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u3, u2} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] (g : Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (hg : forall (x : Prod.{u1, u2} E F), (Membership.mem.{max u1 u2, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.setLike.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u1} E (Prod.fst.{u1, u2} E F x) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2)))))))) -> (Eq.{succ u2} F (Prod.snd.{u1, u2} E F x) (OfNat.ofNat.{u2} F 0 (Zero.toOfNat0.{u2} F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))))))), Eq.{max (succ u1) (succ u2)} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (LinearPMap.graph.{u3, u1, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (Submodule.toLinearPMap.{u3, u1, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g hg)) g
 Case conversion may be inaccurate. Consider using '#align submodule.to_linear_pmap_graph_eq Submodule.toLinearPMap_graph_eqₓ'. -/
 @[simp]
 theorem toLinearPMap_graph_eq (g : Submodule R (E × F))

bump to nightly-2023-03-17-00

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce7e9d53d4bbc38065db3b595cd5bd73c323bc1d

c85864d4

Diff

@@ -799,7 +799,7 @@ protected theorem supₛ_le {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {c : Set.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)} (hc : DirectedOn.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LE.le.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) c) {l : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} (hl : Membership.Mem.{max u2 u3, max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (Set.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) (Set.hasMem.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) l c) (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l)), Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) 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(LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc))) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l)) E (HasLiftT.mk.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R 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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc))) (forall {{x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) 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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.completeLattice.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc))) (forall {{x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))}} {{y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc)))}}, (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc)))) y)) -> (Eq.{succ u3} F (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l x) (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc) y))) (LinearPMap.le_supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc l hl) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))) x) (Subtype.property.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l)) x)))) (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l x)
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {c : Set.{max u3 u2} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)} (hc : DirectedOn.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.10687 : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.10689 : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => LE.le.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.10687 x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.10689) c) {l : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} (hl : Membership.mem.{max u2 u3, max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (Set.{max u3 u2} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) (Set.instMembershipSet.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) l c) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))), Eq.{succ u3} F (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc) (Subtype.mk.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc))) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))) x) (And.left (LE.le.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.completeLattice.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc))) (forall {{x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))}} {{y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc)))}}, (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc)))) y)) -> (Eq.{succ u3} F (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l x) (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc) y))) (LinearPMap.le_supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc l hl) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))) x) (Subtype.property.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l)) x)))) (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l x)
 Case conversion may be inaccurate. Consider using '#align linear_pmap.Sup_apply LinearPMap.supₛ_applyₓ'. -/
 protected theorem supₛ_apply {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {l : E →ₗ.[R] F}
     (hl : l ∈ c) (x : l.domain) :

bump to nightly-2023-03-11-22

mathlib commit https://github.com/leanprover-community/mathlib/commit/3180fab693e2cee3bff62675571264cb8778b212

a8ee822f

Diff

@@ -68,7 +68,7 @@ instance : CoeFun (E →ₗ.[R] F) fun f : E →ₗ.[R] F => f.domain → F :=
 lean 3 declaration is
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 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))), Eq.{succ 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u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) F (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Submodule.instAddCommMonoidSubtypeMemSubmoduleInstMembershipInstSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) (Submodule.instModuleSubtypeMemSubmoduleInstMembershipInstSetLikeSubmoduleInstAddCommMonoidSubtypeMemSubmoduleInstMembershipInstSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) _inst_5 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) (LinearPMap.toFun.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)
 Case conversion may be inaccurate. Consider using '#align linear_pmap.to_fun_eq_coe LinearPMap.toFun_eq_coeₓ'. -/
 @[simp]
 theorem toFun_eq_coe (f : E →ₗ.[R] F) (x : f.domain) : f.toFun x = f x :=
@@ -175,7 +175,7 @@ theorem map_smul (f : E →ₗ.[R] F) (c : R) (x : f.domain) : f (c • x) = c 
 lean 3 declaration is
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E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) p) -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) p) F (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Submodule.addCommMonoid.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (Submodule.module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) f x)
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (p : Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (f : LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E 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 Case conversion may be inaccurate. Consider using '#align linear_pmap.mk_apply LinearPMap.mk_applyₓ'. -/
 @[simp]
 theorem mk_apply (p : Submodule R E) (f : p →ₗ[R] F) (x : p) : mk p f x = f x :=
@@ -352,7 +352,7 @@ instance : LE (E →ₗ.[R] F) :=
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.apply_comp_of_le LinearPMap.apply_comp_ofLeₓ'. -/
 theorem apply_comp_ofLe {T S : E →ₗ.[R] F} (h : T ≤ S) (x : T.domain) :
     T x = S (Submodule.ofLe h.1 x) :=
@@ -660,7 +660,7 @@ theorem vadd_domain (f : E →ₗ[R] F) (g : E →ₗ.[R] F) : (f +ᵥ g).domain
 lean 3 declaration is
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 but is expected to have type
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+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (g : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E 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(AddZeroClass.toAdd.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HVAdd.hVAdd.{max u2 u1, max u2 u1, max u2 u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u3, u2, u1} R 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E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HVAdd.hVAdd.{max u2 u1, max u2 u1, max u2 u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHVAdd.{max u2 u1, max u2 u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.vadd.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) f g)))) x)) (SubNegMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HVAdd.hVAdd.{max u2 u1, max u2 u1, max u2 u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) 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(Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HVAdd.hVAdd.{max u2 u1, max u2 u1, max u2 u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHVAdd.{max u2 u1, max u2 u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) 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u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) f g)))) x)) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g x))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.vadd_apply LinearPMap.vadd_applyₓ'. -/
 theorem vadd_apply (f : E →ₗ[R] F) (g : E →ₗ.[R] F) (x : (f +ᵥ g).domain) :
     (f +ᵥ g) x = f x + g x :=
@@ -671,7 +671,7 @@ theorem vadd_apply (f : E →ₗ[R] F) (g : E →ₗ.[R] F) (x : (f +ᵥ g).doma
 lean 3 declaration is
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 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.coe_vadd LinearPMap.coe_vaddₓ'. -/
 @[simp]
 theorem coe_vadd (f : E →ₗ[R] F) (g : E →ₗ.[R] F) : ⇑(f +ᵥ g) = f.comp g.domain.Subtype + g :=
@@ -799,7 +799,7 @@ protected theorem supₛ_le {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤
 lean 3 declaration is
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_inst_4 _inst_5)) (Set.hasMem.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) l c) (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l)), Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) 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 but is expected to have type
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_inst_3 F _inst_4 _inst_5 l)) x)))) (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l x)
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {c : Set.{max u3 u2} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)} (hc : DirectedOn.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.10590 : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.10592 : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => LE.le.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.10590 x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.10592) c) {l : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} (hl : Membership.mem.{max u2 u3, max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (Set.{max u3 u2} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) (Set.instMembershipSet.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) l c) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.completeLattice.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc))) (forall {{x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))}} {{y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc)))}}, (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc)))) y)) -> (Eq.{succ u3} F (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l x) (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc) y))) (LinearPMap.le_supₛ.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 c hc l hl) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l))) x) (Subtype.property.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l)) x)))) (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l x)
 Case conversion may be inaccurate. Consider using '#align linear_pmap.Sup_apply LinearPMap.supₛ_applyₓ'. -/
 protected theorem supₛ_apply {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {l : E →ₗ.[R] F}
     (hl : l ∈ c) (x : l.domain) :
@@ -825,7 +825,7 @@ def toPMap (f : E →ₗ[R] F) (p : Submodule R E) : E →ₗ.[R] F :=
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (f : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) (p : Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) p), Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearMap.toPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f p) x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) (fun (_x : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R E F (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) f ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) p) E (HasLiftT.mk.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) p) E (CoeTCₓ.coe.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) p) E (coeBase.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) p) E (coeSubtype.{succ u2} E (fun (x : E) => Membership.Mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p))))) x))
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (p : Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p)), Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearMap.toPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f p) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R E F (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) f (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) p)) x))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) (p : Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p)), Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearMap.toPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f p) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R E F (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_3 _inst_5 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) f (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) p)) x))
 Case conversion may be inaccurate. Consider using '#align linear_map.to_pmap_apply LinearMap.toPMap_applyₓ'. -/
 @[simp]
 theorem toPMap_apply (f : E →ₗ[R] F) (p : Submodule R E) (x : p) : f.toPMap p x = f x :=
@@ -845,7 +845,7 @@ def compPMap (g : F →ₗ[R] G) (f : E →ₗ.[R] F) : E →ₗ.[R] G
 lean 3 declaration is
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 but is expected to have type
-  forall {R : Type.{u4}} [_inst_1 : Ring.{u4} R] {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u4, u3} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {G : Type.{u2}} [_inst_6 : AddCommGroup.{u2} G] [_inst_7 : Module.{u4, u2} R G (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6)] (g : LinearMap.{u4, u4, u3, u2} R R (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) F G (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6) _inst_5 _inst_7) (f : LinearPMap.{u4, u1, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u1, u2} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7 (LinearMap.compPMap.{u4, u1, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 G _inst_6 _inst_7 g f)))), Eq.{succ u2} G (LinearPMap.toFun'.{u4, u1, u2} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7 (LinearMap.compPMap.{u4, u1, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 G _inst_6 _inst_7 g f) x) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} R R (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) F G (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6) _inst_5 _inst_7) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : F) => G) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} R R F G (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6) _inst_5 _inst_7 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1)))) g (LinearPMap.toFun'.{u4, u1, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
+  forall {R : Type.{u4}} [_inst_1 : Ring.{u4} R] {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u4, u3} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {G : Type.{u2}} [_inst_6 : AddCommGroup.{u2} G] [_inst_7 : Module.{u4, u2} R G (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6)] (g : LinearMap.{u4, u4, u3, u2} R R (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) F G (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6) _inst_5 _inst_7) (f : LinearPMap.{u4, u1, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u4, u1} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u1, u2} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7 (LinearMap.compPMap.{u4, u1, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 G _inst_6 _inst_7 g f)))), Eq.{succ u2} G (LinearPMap.toFun'.{u4, u1, u2} R _inst_1 E _inst_2 _inst_3 G _inst_6 _inst_7 (LinearMap.compPMap.{u4, u1, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 G _inst_6 _inst_7 g f) x) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} R R (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1))) F G (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6) _inst_5 _inst_7) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : F) => G) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} R R F G (Ring.toSemiring.{u4} R _inst_1) (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u2} G _inst_6) _inst_5 _inst_7 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (Ring.toSemiring.{u4} R _inst_1)))) g (LinearPMap.toFun'.{u4, u1, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
 Case conversion may be inaccurate. Consider using '#align linear_map.comp_pmap_apply LinearMap.compPMap_applyₓ'. -/
 @[simp]
 theorem compPMap_apply (g : F →ₗ[R] G) (f : E →ₗ.[R] F) (x) : g.compPMap f x = g (f x) :=

bump to nightly-2023-03-02-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/195fcd60ff2bfe392543bceb0ec2adcdb472db4c

db7421c3

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov, Moritz Doll
 
 ! This file was ported from Lean 3 source module linear_algebra.linear_pmap
-! leanprover-community/mathlib commit 8709a597a377df3433d863887978b3d01a07c587
+! leanprover-community/mathlib commit ee05e9ce1322178f0c12004eb93c00d2c8c00ed2
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.LinearAlgebra.Prod
 /-!
 # Partially defined linear maps
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 A `linear_pmap R E F` or `E →ₗ.[R] F` is a linear map from a submodule of `E` to `F`.
 We define a `semilattice_inf` with `order_bot` instance on this this, and define three operations:

bump to nightly-2023-02-28-04

mathlib commit https://github.com/leanprover-community/mathlib/commit/9da1b3534b65d9661eb8f42443598a92bbb49211

2097f8af

Diff

@@ -393,7 +393,7 @@ def eqLocus (f g : E →ₗ.[R] F) : Submodule R E
 #align linear_pmap.eq_locus LinearPMap.eqLocus
 -/
 
-instance : HasInf (E →ₗ.[R] F) :=
+instance : Inf (E →ₗ.[R] F) :=
   ⟨fun f g => ⟨f.eqLocus g, f.toFun.comp <| ofLe fun x hx => hx.fst⟩⟩
 
 instance : Bot (E →ₗ.[R] F) :=
@@ -497,9 +497,9 @@ protected noncomputable def sup (f g : E →ₗ.[R] F)
 
 /- warning: linear_pmap.domain_sup -> LinearPMap.domain_sup is a dubious translation:
 lean 3 declaration is
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_inst_3 F _inst_4 _inst_5 f g h)) (Sup.sup.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SemilatticeSup.toHasSup.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Lattice.toSemilatticeSup.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (ConditionallyCompleteLattice.toLattice.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.completeLattice.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (g : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (h : forall (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))), (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))) y)) -> (Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g y))), Eq.{succ u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.sup.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f g h)) (HasSup.sup.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SemilatticeSup.toHasSup.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Lattice.toSemilatticeSup.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (ConditionallyCompleteLattice.toLattice.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.completeLattice.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (g : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (h : forall (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))), (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))) y)) -> (Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g y))), Eq.{succ u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.sup.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f g h)) (Sup.sup.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SemilatticeSup.toSup.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Lattice.toSemilatticeSup.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (ConditionallyCompleteLattice.toLattice.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.completeLattice.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.domain_sup LinearPMap.domain_supₓ'. -/
 @[simp]
 theorem domain_sup (f g : E →ₗ.[R] F)
@@ -512,7 +512,7 @@ theorem domain_sup (f g : E →ₗ.[R] F)
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {g : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} (H : forall (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (y : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)), (Eq.{succ u2} E ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E 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 but is expected to have type
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+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] {f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} {g : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} (H : forall (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))), (Eq.{succ u2} E (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))) y)) -> (Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g y))) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) (y : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))) (z : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (Sup.sup.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SemilatticeSup.toSup.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Lattice.toSemilatticeSup.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (ConditionallyCompleteLattice.toLattice.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.completeLattice.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)))), (Eq.{succ u2} E (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g))) y)) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (SetLike.coe.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Sup.sup.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SemilatticeSup.toSup.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Lattice.toSemilatticeSup.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (ConditionallyCompleteLattice.toLattice.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.completeLattice.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g)))) z)) -> (Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.sup.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f g H) z) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_4)))))) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (LinearPMap.toFun'.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g y)))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.sup_apply LinearPMap.sup_applyₓ'. -/
 theorem sup_apply {f g : E →ₗ.[R] F} (H : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y)
     (x y z) (hz : (↑x : E) + ↑y = ↑z) : f.sup g H z = f x + g y :=
@@ -702,9 +702,9 @@ noncomputable def supSpanSingleton (f : E →ₗ.[K] F) (x : E) (y : F) (hx : x
 
 /- warning: linear_pmap.domain_sup_span_singleton -> LinearPMap.domain_supSpanSingleton is a dubious translation:
 lean 3 declaration is
-  forall {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] {K : Type.{u3}} [_inst_8 : DivisionRing.{u3} K] [_inst_9 : Module.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_10 : Module.{u3, u2} K F (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] (f : LinearPMap.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) (x : E) (y : F) (hx : Not (Membership.Mem.{u1, u1} E (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (SetLike.hasMem.{u1, u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)) x (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f))), Eq.{succ u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 (LinearPMap.supSpanSingleton.{u1, u2, u3} E _inst_2 F _inst_4 K _inst_8 _inst_9 _inst_10 f x y hx)) (HasSup.sup.{u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (SemilatticeSup.toHasSup.{u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (Lattice.toSemilatticeSup.{u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (ConditionallyCompleteLattice.toLattice.{u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (CompleteLattice.toConditionallyCompleteLattice.{u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (Submodule.completeLattice.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9))))) (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f) (Submodule.span.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9 (Singleton.singleton.{u1, u1} E (Set.{u1} E) (Set.hasSingleton.{u1} E) x)))
+  forall {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] {K : Type.{u3}} [_inst_8 : DivisionRing.{u3} K] [_inst_9 : Module.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_10 : Module.{u3, u2} K F (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] (f : LinearPMap.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) (x : E) (y : F) (hx : Not (Membership.Mem.{u1, u1} E (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (SetLike.hasMem.{u1, u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)) x (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f))), Eq.{succ u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 (LinearPMap.supSpanSingleton.{u1, u2, u3} E _inst_2 F _inst_4 K _inst_8 _inst_9 _inst_10 f x y hx)) (Sup.sup.{u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (SemilatticeSup.toHasSup.{u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (Lattice.toSemilatticeSup.{u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (ConditionallyCompleteLattice.toLattice.{u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (CompleteLattice.toConditionallyCompleteLattice.{u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (Submodule.completeLattice.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9))))) (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f) (Submodule.span.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9 (Singleton.singleton.{u1, u1} E (Set.{u1} E) (Set.hasSingleton.{u1} E) x)))
 but is expected to have type
-  forall {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] {K : Type.{u3}} [_inst_8 : DivisionRing.{u3} K] [_inst_9 : Module.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_10 : Module.{u3, u1} K F (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) (x : E) (y : F) (hx : Not (Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) E (Submodule.instSetLikeSubmodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9)) x (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f))), Eq.{succ u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 (LinearPMap.supSpanSingleton.{u2, u1, u3} E _inst_2 F _inst_4 K _inst_8 _inst_9 _inst_10 f x y hx)) (HasSup.sup.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SemilatticeSup.toHasSup.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (Lattice.toSemilatticeSup.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (ConditionallyCompleteLattice.toLattice.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (Submodule.completeLattice.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f) (Submodule.span.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9 (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))
+  forall {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] {K : Type.{u3}} [_inst_8 : DivisionRing.{u3} K] [_inst_9 : Module.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_10 : Module.{u3, u1} K F (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) (x : E) (y : F) (hx : Not (Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) E (Submodule.instSetLikeSubmodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9)) x (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f))), Eq.{succ u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 (LinearPMap.supSpanSingleton.{u2, u1, u3} E _inst_2 F _inst_4 K _inst_8 _inst_9 _inst_10 f x y hx)) (Sup.sup.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SemilatticeSup.toSup.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (Lattice.toSemilatticeSup.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (ConditionallyCompleteLattice.toLattice.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (Submodule.completeLattice.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f) (Submodule.span.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9 (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.domain_sup_span_singleton LinearPMap.domain_supSpanSingletonₓ'. -/
 @[simp]
 theorem domain_supSpanSingleton (f : E →ₗ.[K] F) (x : E) (y : F) (hx : x ∉ f.domain) :
@@ -714,9 +714,9 @@ theorem domain_supSpanSingleton (f : E →ₗ.[K] F) (x : E) (y : F) (hx : x ∉
 
 /- warning: linear_pmap.sup_span_singleton_apply_mk -> LinearPMap.supSpanSingleton_apply_mk is a dubious translation:
 lean 3 declaration is
-  forall {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] {K : Type.{u3}} [_inst_8 : DivisionRing.{u3} K] [_inst_9 : Module.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_10 : Module.{u3, u2} K F (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] (f : LinearPMap.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) (x : E) (y : F) (hx : Not (Membership.Mem.{u1, u1} E (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (SetLike.hasMem.{u1, u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)) x (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f))) (x' : E) (hx' : Membership.Mem.{u1, u1} E (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (SetLike.hasMem.{u1, u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)) x' (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f)) (c : K), Eq.{succ u2} F (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearPMap.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) (fun (f : LinearPMap.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) => (coeSort.{succ u1, succ (succ u1)} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)) (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f)) -> F) (LinearPMap.hasCoeToFun.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) (LinearPMap.supSpanSingleton.{u1, u2, u3} E _inst_2 F _inst_4 K _inst_8 _inst_9 _inst_10 f x y hx) (Subtype.mk.{succ u1} E (fun (x_1 : E) => Membership.Mem.{u1, u1} E 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(AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u3, u1} K E (MulZeroClass.toHasZero.{u3} K (MulZeroOneClass.toMulZeroClass.{u3} K (MonoidWithZero.toMulZeroOneClass.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u1} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (Module.toMulActionWithZero.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)))) c x)) (Iff.mpr 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(AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (Module.toMulActionWithZero.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)))) c x))) (Submodule.mem_span_singleton.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9 (SMul.smul.{u3, u1} K E (SMulZeroClass.toHasSmul.{u3, u1} K E (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u3, u1} K E (MulZeroClass.toHasZero.{u3} K (MulZeroOneClass.toMulZeroClass.{u3} K (MonoidWithZero.toMulZeroOneClass.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u1} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (Module.toMulActionWithZero.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)))) c x) x) (Exists.intro.{succ u3} K (fun (a : K) => Eq.{succ u1} E (SMul.smul.{u3, u1} K E (SMulZeroClass.toHasSmul.{u3, u1} K E (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u3, u1} K E (MulZeroClass.toHasZero.{u3} K (MulZeroOneClass.toMulZeroClass.{u3} K (MonoidWithZero.toMulZeroOneClass.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))))) 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(Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u1} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (Module.toMulActionWithZero.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)))) c x)) c (rfl.{succ u1} E (SMul.smul.{u3, u1} K E (SMulZeroClass.toHasSmul.{u3, u1} K E (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u3, u1} K E (MulZeroClass.toHasZero.{u3} K (MulZeroOneClass.toMulZeroClass.{u3} K (MonoidWithZero.toMulZeroOneClass.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u1} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (Module.toMulActionWithZero.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)))) c x)))) (rfl.{succ u1} E (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toHasAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2))))) x' 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_inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)))) c x)))))))))) (HAdd.hAdd.{u2, u2, u2} F F F (instHAdd.{u2} F (AddZeroClass.toHasAdd.{u2} F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearPMap.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) (fun (f : LinearPMap.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) => (coeSort.{succ u1, succ (succ u1)} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u1} K E (Ring.toSemiring.{u3} K 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(SMulZeroClass.toHasSmul.{u3, u2} K F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)))) (SMulWithZero.toSmulZeroClass.{u3, u2} K F (MulZeroClass.toHasZero.{u3} K (MulZeroOneClass.toMulZeroClass.{u3} K (MonoidWithZero.toMulZeroOneClass.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)))) (MulActionWithZero.toSMulWithZero.{u3, u2} K F (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)))) (Module.toMulActionWithZero.{u3, u2} K F (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_10)))) c y))
+  forall {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] {K : Type.{u3}} [_inst_8 : DivisionRing.{u3} K] [_inst_9 : Module.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_10 : Module.{u3, u2} K F (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] (f : LinearPMap.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) (x : E) (y : F) (hx : Not (Membership.Mem.{u1, u1} E (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (SetLike.hasMem.{u1, u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)) x (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f))) (x' : E) (hx' : Membership.Mem.{u1, u1} E (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (SetLike.hasMem.{u1, u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)) x' (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f)) (c : K), Eq.{succ u2} F (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearPMap.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) (fun (f : LinearPMap.{u3, u1, 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(Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (Module.toMulActionWithZero.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)))) c x) (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 (LinearPMap.mkSpanSingleton.{u3, u1, u2} K E F _inst_8 _inst_2 _inst_9 _inst_4 _inst_10 x y (LinearPMap.supSpanSingleton._proof_1.{u1, u2, u3} E _inst_2 F _inst_4 K _inst_8 _inst_9 _inst_10 f x hx)))) (fun (H : Membership.Mem.{u1, u1} E (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (SetLike.hasMem.{u1, u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K 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(MulActionWithZero.toSMulWithZero.{u3, u1} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (Module.toMulActionWithZero.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)))) c x) x) (Exists.intro.{succ u3} K (fun (a : K) => Eq.{succ u1} E (SMul.smul.{u3, u1} K E (SMulZeroClass.toHasSmul.{u3, u1} K E (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u3, u1} K E (MulZeroClass.toHasZero.{u3} K (MulZeroOneClass.toMulZeroClass.{u3} K (MonoidWithZero.toMulZeroOneClass.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u1} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (Module.toMulActionWithZero.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)))) a x) (SMul.smul.{u3, u1} K E (SMulZeroClass.toHasSmul.{u3, u1} K E (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u3, u1} K E (MulZeroClass.toHasZero.{u3} K (MulZeroOneClass.toMulZeroClass.{u3} K (MonoidWithZero.toMulZeroOneClass.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u1} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (Module.toMulActionWithZero.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)))) c x)) c (rfl.{succ u1} E (SMul.smul.{u3, u1} K E (SMulZeroClass.toHasSmul.{u3, u1} K E (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u3, u1} K E (MulZeroClass.toHasZero.{u3} K 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(SMul.smul.{u3, u1} K E (SMulZeroClass.toHasSmul.{u3, u1} K E (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u3, u1} K E (MulZeroClass.toHasZero.{u3} K (MulZeroOneClass.toMulZeroClass.{u3} K (MonoidWithZero.toMulZeroOneClass.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u1} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (Module.toMulActionWithZero.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)))) c x)))))))))) (HAdd.hAdd.{u2, u2, u2} F F F (instHAdd.{u2} F (AddZeroClass.toHasAdd.{u2} F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearPMap.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) (fun (f : LinearPMap.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) => (coeSort.{succ u1, succ (succ u1)} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)) (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f)) -> F) (LinearPMap.hasCoeToFun.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) f (Subtype.mk.{succ u1} E (fun (x : E) => Membership.Mem.{u1, u1} E (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (SetLike.hasMem.{u1, u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)) x (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f)) x' hx')) (SMul.smul.{u3, u2} K F (SMulZeroClass.toHasSmul.{u3, u2} K F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)))) (SMulWithZero.toSmulZeroClass.{u3, u2} K F (MulZeroClass.toHasZero.{u3} K (MulZeroOneClass.toMulZeroClass.{u3} K (MonoidWithZero.toMulZeroOneClass.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)))) (MulActionWithZero.toSMulWithZero.{u3, u2} K F (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)))) (Module.toMulActionWithZero.{u3, u2} K F (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_10)))) c y))
 but is expected to have type
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(MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x)) (LinearPMap.domain.{u3, u2, u1} K 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(LinearPMap.mkSpanSingleton.{u3, u2, u1} K E F _inst_8 _inst_2 _inst_9 _inst_4 _inst_10 x y (LinearPMap.supSpanSingleton.proof_1.{u2, u3, u1} E _inst_2 F _inst_4 K _inst_8 _inst_9 _inst_10 f x hx)))) (Eq.{succ u2} E (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))))) x' z) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) x' (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x))))) hx' (Exists.intro.{succ u2} E (fun (z : E) 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(MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (Module.toMulActionWithZero.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x))) (Submodule.mem_span_singleton.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9 (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (Module.toMulActionWithZero.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x) x) (Exists.intro.{succ u3} K (fun (a : K) => Eq.{succ u2} E (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (Module.toMulActionWithZero.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) a x) (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (Module.toMulActionWithZero.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x)) c (rfl.{succ u2} E (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (Module.toMulActionWithZero.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x)))) (rfl.{succ u2} E (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))))) x' (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (Module.toMulActionWithZero.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x)))))))))) (HAdd.hAdd.{u1, u1, u1} F F F (instHAdd.{u1} F (AddZeroClass.toAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (SubNegMonoid.toAddMonoid.{u1} F (AddGroup.toSubNegMonoid.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_4)))))) (LinearPMap.toFun'.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f (Subtype.mk.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) E (Submodule.instSetLikeSubmodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9)) x (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f)) x' hx')) (HSMul.hSMul.{u3, u1, u1} K F F (instHSMul.{u3, u1} K F (SMulZeroClass.toSMul.{u3, u1} K F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u1} K F (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u1} K F (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (Module.toMulActionWithZero.{u3, u1} K F (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_10))))) c y))
+  forall {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] {K : Type.{u3}} [_inst_8 : DivisionRing.{u3} K] [_inst_9 : Module.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_10 : Module.{u3, u1} K F (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) (x : E) (y : F) (hx : Not (Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) E (Submodule.instSetLikeSubmodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9)) x (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f))) (x' : E) (hx' : Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) E (Submodule.instSetLikeSubmodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9)) x' (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f)) (c : K), Eq.{succ u1} F (LinearPMap.toFun'.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 (LinearPMap.supSpanSingleton.{u2, u1, u3} E _inst_2 F _inst_4 K _inst_8 _inst_9 _inst_10 f x y hx) (Subtype.mk.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) E (Submodule.instSetLikeSubmodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9)) x_1 (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 (LinearPMap.supSpanSingleton.{u2, u1, u3} E _inst_2 F _inst_4 K _inst_8 _inst_9 _inst_10 f x y hx))) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) x' (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x)) (Iff.mpr (Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) E (Submodule.instSetLikeSubmodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9)) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) x' (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x)) (Sup.sup.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SemilatticeSup.toSup.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (Lattice.toSemilatticeSup.{u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) 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And (Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) E (Submodule.instSetLikeSubmodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9)) y_1 (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f)) (Exists.{succ u2} E (fun (z : E) => And (Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) 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(MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x))))) hx' (Exists.intro.{succ u2} E (fun (z : E) 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 Case conversion may be inaccurate. Consider using '#align linear_pmap.sup_span_singleton_apply_mk LinearPMap.supSpanSingleton_apply_mkₓ'. -/
 @[simp]
 theorem supSpanSingleton_apply_mk (f : E →ₗ.[K] F) (x : E) (y : F) (hx : x ∉ f.domain) (x' : E)
@@ -914,9 +914,9 @@ def domRestrict (f : E →ₗ.[R] F) (S : Submodule R E) : E →ₗ.[R] F :=
 
 /- warning: linear_pmap.dom_restrict_domain -> LinearPMap.domRestrict_domain is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u3, u1} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (f : LinearPMap.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) {S : Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3}, Eq.{succ u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.domRestrict.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f S)) (Inf.inf.{u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Submodule.instInfSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) S (LinearPMap.domain.{u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
 Case conversion may be inaccurate. Consider using '#align linear_pmap.dom_restrict_domain LinearPMap.domRestrict_domainₓ'. -/
 @[simp]
 theorem domRestrict_domain (f : E →ₗ.[R] F) {S : Submodule R E} :
@@ -926,9 +926,9 @@ theorem domRestrict_domain (f : E →ₗ.[R] F) {S : Submodule R E} :
 
 /- warning: linear_pmap.dom_restrict_apply -> LinearPMap.domRestrict_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_pmap.dom_restrict_apply LinearPMap.domRestrict_applyₓ'. -/
 theorem domRestrict_apply {f : E →ₗ.[R] F} {S : Submodule R E} ⦃x : S ⊓ f.domain⦄ ⦃y : f.domain⦄
     (h : (x : E) = y) : f.domRestrict S x = f y :=

bump to nightly-2023-02-24-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/22131150f88a2d125713ffa0f4693e3355b1eb49

2d8bd121

Diff

@@ -39,31 +39,45 @@ open Set
 
 universe u v w
 
+#print LinearPMap /-
 /-- A `linear_pmap R E F` or `E →ₗ.[R] F` is a linear map from a submodule of `E` to `F`. -/
-structure LinearPmap (R : Type u) [Ring R] (E : Type v) [AddCommGroup E] [Module R E] (F : Type w)
+structure LinearPMap (R : Type u) [Ring R] (E : Type v) [AddCommGroup E] [Module R E] (F : Type w)
   [AddCommGroup F] [Module R F] where
   domain : Submodule R E
   toFun : domain →ₗ[R] F
-#align linear_pmap LinearPmap
+#align linear_pmap LinearPMap
+-/
 
 -- mathport name: «expr →ₗ.[ ] »
-notation:25 E " →ₗ.[" R:25 "] " F:0 => LinearPmap R E F
+notation:25 E " →ₗ.[" R:25 "] " F:0 => LinearPMap R E F
 
 variable {R : Type _} [Ring R] {E : Type _} [AddCommGroup E] [Module R E] {F : Type _}
   [AddCommGroup F] [Module R F] {G : Type _} [AddCommGroup G] [Module R G]
 
-namespace LinearPmap
+namespace LinearPMap
 
 open Submodule
 
 instance : CoeFun (E →ₗ.[R] F) fun f : E →ₗ.[R] F => f.domain → F :=
   ⟨fun f => f.toFun⟩
 
+/- warning: linear_pmap.to_fun_eq_coe -> LinearPMap.toFun_eq_coe is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.to_fun_eq_coe LinearPMap.toFun_eq_coeₓ'. -/
 @[simp]
 theorem toFun_eq_coe (f : E →ₗ.[R] F) (x : f.domain) : f.toFun x = f x :=
   rfl
-#align linear_pmap.to_fun_eq_coe LinearPmap.toFun_eq_coe
+#align linear_pmap.to_fun_eq_coe LinearPMap.toFun_eq_coe
 
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.ext LinearPMap.extₓ'. -/
 @[ext]
 theorem ext {f g : E →ₗ.[R] F} (h : f.domain = g.domain)
     (h' : ∀ ⦃x : f.domain⦄ ⦃y : g.domain⦄ (h : (x : E) = y), f x = g y) : f = g :=
@@ -73,13 +87,25 @@ theorem ext {f g : E →ₗ.[R] F} (h : f.domain = g.domain)
   obtain rfl : f_dom = g_dom := h
   obtain rfl : f = g := LinearMap.ext fun x => h' rfl
   rfl
-#align linear_pmap.ext LinearPmap.ext
+#align linear_pmap.ext LinearPMap.ext
 
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 @[simp]
 theorem map_zero (f : E →ₗ.[R] F) : f 0 = 0 :=
   f.toFun.map_zero
-#align linear_pmap.map_zero LinearPmap.map_zero
+#align linear_pmap.map_zero LinearPMap.map_zero
 
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.ext_iff LinearPMap.ext_iffₓ'. -/
 theorem ext_iff {f g : E →ₗ.[R] F} :
     f = g ↔
       ∃ domain_eq : f.domain = g.domain,
@@ -90,33 +116,75 @@ theorem ext_iff {f g : E →ₗ.[R] F} :
         congr
         exact_mod_cast h⟩,
     fun ⟨deq, feq⟩ => ext deq feq⟩
-#align linear_pmap.ext_iff LinearPmap.ext_iff
+#align linear_pmap.ext_iff LinearPMap.ext_iff
 
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.ext' LinearPMap.ext'ₓ'. -/
 theorem ext' {s : Submodule R E} {f g : s →ₗ[R] F} (h : f = g) : mk s f = mk s g :=
   h ▸ rfl
-#align linear_pmap.ext' LinearPmap.ext'
+#align linear_pmap.ext' LinearPMap.ext'
 
+/- warning: linear_pmap.map_add -> LinearPMap.map_add is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.map_add LinearPMap.map_addₓ'. -/
 theorem map_add (f : E →ₗ.[R] F) (x y : f.domain) : f (x + y) = f x + f y :=
   f.toFun.map_add x y
-#align linear_pmap.map_add LinearPmap.map_add
+#align linear_pmap.map_add LinearPMap.map_add
 
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 theorem map_neg (f : E →ₗ.[R] F) (x : f.domain) : f (-x) = -f x :=
   f.toFun.map_neg x
-#align linear_pmap.map_neg LinearPmap.map_neg
+#align linear_pmap.map_neg LinearPMap.map_neg
 
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.map_sub LinearPMap.map_subₓ'. -/
 theorem map_sub (f : E →ₗ.[R] F) (x y : f.domain) : f (x - y) = f x - f y :=
   f.toFun.map_sub x y
-#align linear_pmap.map_sub LinearPmap.map_sub
+#align linear_pmap.map_sub LinearPMap.map_sub
 
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.map_smul LinearPMap.map_smulₓ'. -/
 theorem map_smul (f : E →ₗ.[R] F) (c : R) (x : f.domain) : f (c • x) = c • f x :=
   f.toFun.map_smul c x
-#align linear_pmap.map_smul LinearPmap.map_smul
+#align linear_pmap.map_smul LinearPMap.map_smul
 
+/- warning: linear_pmap.mk_apply -> LinearPMap.mk_apply is a dubious translation:
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Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p)) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p)) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x p)) F (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Submodule.instAddCommMonoidSubtypeMemSubmoduleInstMembershipInstSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) (Submodule.instModuleSubtypeMemSubmoduleInstMembershipInstSetLikeSubmoduleInstAddCommMonoidSubtypeMemSubmoduleInstMembershipInstSetLikeSubmodule.{u3, u2} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 p) _inst_5 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) f x)
+Case conversion may be inaccurate. Consider using '#align linear_pmap.mk_apply LinearPMap.mk_applyₓ'. -/
 @[simp]
 theorem mk_apply (p : Submodule R E) (f : p →ₗ[R] F) (x : p) : mk p f x = f x :=
   rfl
-#align linear_pmap.mk_apply LinearPmap.mk_apply
+#align linear_pmap.mk_apply LinearPMap.mk_apply
 
+/- warning: linear_pmap.mk_span_singleton' -> LinearPMap.mkSpanSingleton' is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.mk_span_singleton' LinearPMap.mkSpanSingleton'ₓ'. -/
 /-- The unique `linear_pmap` on `R ∙ x` that sends `x` to `y`. This version works for modules
 over rings, and requires a proof of `∀ c, c • x = 0 → c • y = 0`. -/
 noncomputable def mkSpanSingleton' (x : E) (y : F) (H : ∀ c : R, c • x = 0 → c • y = 0) : E →ₗ.[R] F
@@ -139,14 +207,26 @@ noncomputable def mkSpanSingleton' (x : E) (y : F) (H : ∀ c : R, c • x = 0 
         apply H
         simp only [mul_smul, Classical.choose_spec (mem_span_singleton.1 _)]
         apply coe_smul }
-#align linear_pmap.mk_span_singleton' LinearPmap.mkSpanSingleton'
+#align linear_pmap.mk_span_singleton' LinearPMap.mkSpanSingleton'
 
+/- warning: linear_pmap.domain_mk_span_singleton -> LinearPMap.domain_mkSpanSingleton is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.domain_mk_span_singleton LinearPMap.domain_mkSpanSingletonₓ'. -/
 @[simp]
-theorem domain_mk_span_singleton (x : E) (y : F) (H : ∀ c : R, c • x = 0 → c • y = 0) :
+theorem domain_mkSpanSingleton (x : E) (y : F) (H : ∀ c : R, c • x = 0 → c • y = 0) :
     (mkSpanSingleton' x y H).domain = R ∙ x :=
   rfl
-#align linear_pmap.domain_mk_span_singleton LinearPmap.domain_mk_span_singleton
+#align linear_pmap.domain_mk_span_singleton LinearPMap.domain_mkSpanSingleton
 
+/- warning: linear_pmap.mk_span_singleton'_apply -> LinearPMap.mkSpanSingleton'_apply is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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(SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u3} R E (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (Module.toMulActionWithZero.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) c x) (OfNat.ofNat.{u3} E 0 (Zero.toOfNat0.{u3} E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2)))))))) -> (Eq.{succ u1} F (HSMul.hSMul.{u2, u1, u1} R F F (instHSMul.{u2, u1} R F (SMulZeroClass.toSMul.{u2, u1} R F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R F (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R F (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (Module.toMulActionWithZero.{u2, u1} R F (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5))))) c y) (OfNat.ofNat.{u1} F 0 (Zero.toOfNat0.{u1} F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))))))) (c : R) (h : Membership.mem.{u3, u3} E (Submodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) (HSMul.hSMul.{u2, u3, u3} R E E (instHSMul.{u2, u3} R E (SMulZeroClass.toSMul.{u2, u3} R E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u3} R E (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u3} R E (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (Module.toMulActionWithZero.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) c x) (LinearPMap.domain.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.mkSpanSingleton'.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 x y H))), Eq.{succ u1} F (LinearPMap.toFun'.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.mkSpanSingleton'.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 x y H) (Subtype.mk.{succ u3} E (fun (x_1 : E) => Membership.mem.{u3, u3} E (Submodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x_1 (LinearPMap.domain.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.mkSpanSingleton'.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 x y H))) (HSMul.hSMul.{u2, u3, u3} R E E (instHSMul.{u2, u3} R E 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(Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) c x) h)) (HSMul.hSMul.{u2, u1, u1} R F F (instHSMul.{u2, u1} R F (SMulZeroClass.toSMul.{u2, u1} R F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R F (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R F (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (Module.toMulActionWithZero.{u2, u1} R F (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5))))) c y)
+Case conversion may be inaccurate. Consider using '#align linear_pmap.mk_span_singleton'_apply LinearPMap.mkSpanSingleton'_applyₓ'. -/
 @[simp]
 theorem mkSpanSingleton'_apply (x : E) (y : F) (H : ∀ c : R, c • x = 0 → c • y = 0) (c : R) (h) :
     mkSpanSingleton' x y H ⟨c • x, h⟩ = c • y :=
@@ -156,14 +236,26 @@ theorem mkSpanSingleton'_apply (x : E) (y : F) (H : ∀ c : R, c • x = 0 → c
   apply H
   simp only [sub_smul, one_smul, sub_eq_zero]
   apply Classical.choose_spec (mem_span_singleton.1 h)
-#align linear_pmap.mk_span_singleton'_apply LinearPmap.mkSpanSingleton'_apply
+#align linear_pmap.mk_span_singleton'_apply LinearPMap.mkSpanSingleton'_apply
 
+/- warning: linear_pmap.mk_span_singleton'_apply_self -> LinearPMap.mkSpanSingleton'_apply_self is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (x : E) (y : F) (H : forall (c : R), (Eq.{succ u2} E (SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E 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u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 x y H))) x h)) y
+but is expected to have type
+  forall {R : Type.{u2}} [_inst_1 : Ring.{u2} R] {E : Type.{u3}} [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : AddCommGroup.{u1} F] [_inst_5 : Module.{u2, u1} R F (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4)] (x : E) (y : F) (H : forall (c : R), (Eq.{succ u3} E (HSMul.hSMul.{u2, u3, u3} R E E (instHSMul.{u2, u3} R E (SMulZeroClass.toSMul.{u2, u3} R E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u3} R E (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u3} R E (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (Module.toMulActionWithZero.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) c x) (OfNat.ofNat.{u3} E 0 (Zero.toOfNat0.{u3} E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2)))))))) -> (Eq.{succ u1} F (HSMul.hSMul.{u2, u1, u1} R F F (instHSMul.{u2, u1} R F (SMulZeroClass.toSMul.{u2, u1} R F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R F (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R F (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))) (Module.toMulActionWithZero.{u2, u1} R F (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} F _inst_4) _inst_5))))) c y) (OfNat.ofNat.{u1} F 0 (Zero.toOfNat0.{u1} F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_4))))))))) (h : Membership.mem.{u3, u3} E (Submodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.mkSpanSingleton'.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 x y H))), Eq.{succ u1} F (LinearPMap.toFun'.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.mkSpanSingleton'.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 x y H) (Subtype.mk.{succ u3} E (fun (x_1 : E) => Membership.mem.{u3, u3} E (Submodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u2, u3} R E (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x_1 (LinearPMap.domain.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (LinearPMap.mkSpanSingleton'.{u2, u3, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 x y H))) x h)) y
+Case conversion may be inaccurate. Consider using '#align linear_pmap.mk_span_singleton'_apply_self LinearPMap.mkSpanSingleton'_apply_selfₓ'. -/
 @[simp]
 theorem mkSpanSingleton'_apply_self (x : E) (y : F) (H : ∀ c : R, c • x = 0 → c • y = 0) (h) :
     mkSpanSingleton' x y H ⟨x, h⟩ = y := by
   convert mk_span_singleton'_apply x y H 1 _ <;> rwa [one_smul]
-#align linear_pmap.mk_span_singleton'_apply_self LinearPmap.mkSpanSingleton'_apply_self
+#align linear_pmap.mk_span_singleton'_apply_self LinearPMap.mkSpanSingleton'_apply_self
 
+/- warning: linear_pmap.mk_span_singleton -> LinearPMap.mkSpanSingleton is a dubious translation:
+lean 3 declaration is
+  forall {K : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_8 : DivisionRing.{u1} K] [_inst_9 : AddCommGroup.{u2} E] [_inst_10 : Module.{u1, u2} K E (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_9)] [_inst_11 : AddCommGroup.{u3} F] [_inst_12 : Module.{u1, u3} K F (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_11)] (x : E), F -> (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_9))))))))) -> (LinearPMap.{u1, u2, u3} K (DivisionRing.toRing.{u1} K _inst_8) E _inst_9 _inst_10 F _inst_11 _inst_12)
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.mk_span_singleton LinearPMap.mkSpanSingletonₓ'. -/
 /-- The unique `linear_pmap` on `span R {x}` that sends a non-zero vector `x` to `y`.
 This version works for modules over division rings. -/
 @[reducible]
@@ -171,67 +263,122 @@ noncomputable def mkSpanSingleton {K E F : Type _} [DivisionRing K] [AddCommGrou
     [AddCommGroup F] [Module K F] (x : E) (y : F) (hx : x ≠ 0) : E →ₗ.[K] F :=
   mkSpanSingleton' x y fun c hc =>
     (smul_eq_zero.1 hc).elim (fun hc => by rw [hc, zero_smul]) fun hx' => absurd hx' hx
-#align linear_pmap.mk_span_singleton LinearPmap.mkSpanSingleton
+#align linear_pmap.mk_span_singleton LinearPMap.mkSpanSingleton
 
+/- warning: linear_pmap.mk_span_singleton_apply -> LinearPMap.mkSpanSingleton_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.mk_span_singleton_apply LinearPMap.mkSpanSingleton_applyₓ'. -/
 theorem mkSpanSingleton_apply (K : Type _) {E F : Type _} [DivisionRing K] [AddCommGroup E]
     [Module K E] [AddCommGroup F] [Module K F] {x : E} (hx : x ≠ 0) (y : F) :
     mkSpanSingleton x y hx ⟨x, (Submodule.mem_span_singleton_self x : x ∈ Submodule.span K {x})⟩ =
       y :=
-  LinearPmap.mkSpanSingleton'_apply_self _ _ _ _
-#align linear_pmap.mk_span_singleton_apply LinearPmap.mkSpanSingleton_apply
+  LinearPMap.mkSpanSingleton'_apply_self _ _ _ _
+#align linear_pmap.mk_span_singleton_apply LinearPMap.mkSpanSingleton_apply
 
+/- warning: linear_pmap.fst -> LinearPMap.fst is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.fst LinearPMap.fstₓ'. -/
 /-- Projection to the first coordinate as a `linear_pmap` -/
 protected def fst (p : Submodule R E) (p' : Submodule R F) : E × F →ₗ.[R] E
     where
   domain := p.Prod p'
   toFun := (LinearMap.fst R E F).comp (p.Prod p').Subtype
-#align linear_pmap.fst LinearPmap.fst
+#align linear_pmap.fst LinearPMap.fst
 
+/- warning: linear_pmap.fst_apply -> LinearPMap.fst_apply is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.fst_apply LinearPMap.fst_applyₓ'. -/
 @[simp]
 theorem fst_apply (p : Submodule R E) (p' : Submodule R F) (x : p.Prod p') :
-    LinearPmap.fst p p' x = (x : E × F).1 :=
+    LinearPMap.fst p p' x = (x : E × F).1 :=
   rfl
-#align linear_pmap.fst_apply LinearPmap.fst_apply
+#align linear_pmap.fst_apply LinearPMap.fst_apply
 
+/- warning: linear_pmap.snd -> LinearPMap.snd is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.snd LinearPMap.sndₓ'. -/
 /-- Projection to the second coordinate as a `linear_pmap` -/
 protected def snd (p : Submodule R E) (p' : Submodule R F) : E × F →ₗ.[R] F
     where
   domain := p.Prod p'
   toFun := (LinearMap.snd R E F).comp (p.Prod p').Subtype
-#align linear_pmap.snd LinearPmap.snd
+#align linear_pmap.snd LinearPMap.snd
 
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.snd_apply LinearPMap.snd_applyₓ'. -/
 @[simp]
 theorem snd_apply (p : Submodule R E) (p' : Submodule R F) (x : p.Prod p') :
-    LinearPmap.snd p p' x = (x : E × F).2 :=
+    LinearPMap.snd p p' x = (x : E × F).2 :=
   rfl
-#align linear_pmap.snd_apply LinearPmap.snd_apply
+#align linear_pmap.snd_apply LinearPMap.snd_apply
 
 instance : Neg (E →ₗ.[R] F) :=
   ⟨fun f => ⟨f.domain, -f.toFun⟩⟩
 
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.neg_apply LinearPMap.neg_applyₓ'. -/
 @[simp]
 theorem neg_apply (f : E →ₗ.[R] F) (x) : (-f) x = -f x :=
   rfl
-#align linear_pmap.neg_apply LinearPmap.neg_apply
+#align linear_pmap.neg_apply LinearPMap.neg_apply
 
 instance : LE (E →ₗ.[R] F) :=
   ⟨fun f g => f.domain ≤ g.domain ∧ ∀ ⦃x : f.domain⦄ ⦃y : g.domain⦄ (h : (x : E) = y), f x = g y⟩
 
+/- warning: linear_pmap.apply_comp_of_le -> LinearPMap.apply_comp_ofLe is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.apply_comp_of_le LinearPMap.apply_comp_ofLeₓ'. -/
 theorem apply_comp_ofLe {T S : E →ₗ.[R] F} (h : T ≤ S) (x : T.domain) :
     T x = S (Submodule.ofLe h.1 x) :=
   h.2 rfl
-#align linear_pmap.apply_comp_of_le LinearPmap.apply_comp_ofLe
+#align linear_pmap.apply_comp_of_le LinearPMap.apply_comp_ofLe
 
+/- warning: linear_pmap.exists_of_le -> LinearPMap.exists_of_le is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.exists_of_le LinearPMap.exists_of_leₓ'. -/
 theorem exists_of_le {T S : E →ₗ.[R] F} (h : T ≤ S) (x : T.domain) :
     ∃ y : S.domain, (x : E) = y ∧ T x = S y :=
   ⟨⟨x.1, h.1 x.2⟩, ⟨rfl, h.2 rfl⟩⟩
-#align linear_pmap.exists_of_le LinearPmap.exists_of_le
+#align linear_pmap.exists_of_le LinearPMap.exists_of_le
 
+/- warning: linear_pmap.eq_of_le_of_domain_eq -> LinearPMap.eq_of_le_of_domain_eq is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.eq_of_le_of_domain_eq LinearPMap.eq_of_le_of_domain_eqₓ'. -/
 theorem eq_of_le_of_domain_eq {f g : E →ₗ.[R] F} (hle : f ≤ g) (heq : f.domain = g.domain) :
     f = g :=
   ext HEq hle.2
-#align linear_pmap.eq_of_le_of_domain_eq LinearPmap.eq_of_le_of_domain_eq
+#align linear_pmap.eq_of_le_of_domain_eq LinearPMap.eq_of_le_of_domain_eq
 
+#print LinearPMap.eqLocus /-
 /-- Given two partial linear maps `f`, `g`, the set of points `x` such that
 both `f` and `g` are defined at `x` and `f x = g x` form a submodule. -/
 def eqLocus (f g : E →ₗ.[R] F) : Submodule R E
@@ -243,7 +390,8 @@ def eqLocus (f g : E →ₗ.[R] F) : Submodule R E
       erw [f.map_add ⟨x, hfx⟩ ⟨y, hfy⟩, g.map_add ⟨x, hgx⟩ ⟨y, hgy⟩, hx, hy]⟩
   smul_mem' := fun c x ⟨hfx, hgx, hx⟩ =>
     ⟨smul_mem _ c hfx, smul_mem _ c hgx, by erw [f.map_smul c ⟨x, hfx⟩, g.map_smul c ⟨x, hgx⟩, hx]⟩
-#align linear_pmap.eq_locus LinearPmap.eqLocus
+#align linear_pmap.eq_locus LinearPMap.eqLocus
+-/
 
 instance : HasInf (E →ₗ.[R] F) :=
   ⟨fun f g => ⟨f.eqLocus g, f.toFun.comp <| ofLe fun x hx => hx.fst⟩⟩
@@ -281,14 +429,26 @@ instance : OrderBot (E →ₗ.[R] F) where
       have hy : y = 0 := Subtype.eq (h.symm.trans (congr_arg _ hx))
       rw [hx, hy, map_zero, map_zero]⟩
 
+/- warning: linear_pmap.le_of_eq_locus_ge -> LinearPMap.le_of_eqLocus_ge is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.le_of_eq_locus_ge LinearPMap.le_of_eqLocus_geₓ'. -/
 theorem le_of_eqLocus_ge {f g : E →ₗ.[R] F} (H : f.domain ≤ f.eqLocus g) : f ≤ g :=
   suffices f ≤ f ⊓ g from le_trans this inf_le_right
   ⟨H, fun x y hxy => ((inf_le_left : f ⊓ g ≤ f).2 hxy.symm).symm⟩
-#align linear_pmap.le_of_eq_locus_ge LinearPmap.le_of_eqLocus_ge
+#align linear_pmap.le_of_eq_locus_ge LinearPMap.le_of_eqLocus_ge
 
+/- warning: linear_pmap.domain_mono -> LinearPMap.domain_mono is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.domain_mono LinearPMap.domain_monoₓ'. -/
 theorem domain_mono : StrictMono (@domain R _ E _ _ F _ _) := fun f g hlt =>
   lt_of_le_of_ne hlt.1.1 fun heq => ne_of_lt hlt <| eq_of_le_of_domain_eq (le_of_lt hlt) HEq
-#align linear_pmap.domain_mono LinearPmap.domain_mono
+#align linear_pmap.domain_mono LinearPMap.domain_mono
 
 private theorem sup_aux (f g : E →ₗ.[R] F)
     (h : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y) :
@@ -321,26 +481,50 @@ private theorem sup_aux (f g : E →ₗ.[R] F)
     simp only [coe_smul, coe_mk, ← smul_add, hxy, RingHom.id_apply]
 #align linear_pmap.sup_aux linear_pmap.sup_aux
 
+/- warning: linear_pmap.sup -> LinearPMap.sup is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.sup LinearPMap.supₓ'. -/
 /-- Given two partial linear maps that agree on the intersection of their domains,
 `f.sup g h` is the unique partial linear map on `f.domain ⊔ g.domain` that agrees
 with `f` and `g`. -/
 protected noncomputable def sup (f g : E →ₗ.[R] F)
     (h : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y) : E →ₗ.[R] F :=
   ⟨_, Classical.choose (sup_aux f g h)⟩
-#align linear_pmap.sup LinearPmap.sup
+#align linear_pmap.sup LinearPMap.sup
 
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.domain_sup LinearPMap.domain_supₓ'. -/
 @[simp]
 theorem domain_sup (f g : E →ₗ.[R] F)
     (h : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y) :
     (f.sup g h).domain = f.domain ⊔ g.domain :=
   rfl
-#align linear_pmap.domain_sup LinearPmap.domain_sup
+#align linear_pmap.domain_sup LinearPMap.domain_sup
 
+/- warning: linear_pmap.sup_apply -> LinearPMap.sup_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.sup_apply LinearPMap.sup_applyₓ'. -/
 theorem sup_apply {f g : E →ₗ.[R] F} (H : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y)
     (x y z) (hz : (↑x : E) + ↑y = ↑z) : f.sup g H z = f x + g y :=
   Classical.choose_spec (sup_aux f g H) x y z hz
-#align linear_pmap.sup_apply LinearPmap.sup_apply
+#align linear_pmap.sup_apply LinearPMap.sup_apply
 
+/- warning: linear_pmap.left_le_sup -> LinearPMap.left_le_sup is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.left_le_sup LinearPMap.left_le_supₓ'. -/
 protected theorem left_le_sup (f g : E →ₗ.[R] F)
     (h : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y) : f ≤ f.sup g h :=
   by
@@ -348,8 +532,14 @@ protected theorem left_le_sup (f g : E →ₗ.[R] F)
   rw [← add_zero (f _), ← g.map_zero]
   refine' (sup_apply h _ _ _ _).symm
   simpa
-#align linear_pmap.left_le_sup LinearPmap.left_le_sup
+#align linear_pmap.left_le_sup LinearPMap.left_le_sup
 
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.right_le_sup LinearPMap.right_le_supₓ'. -/
 protected theorem right_le_sup (f g : E →ₗ.[R] F)
     (h : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y) : g ≤ f.sup g h :=
   by
@@ -357,16 +547,28 @@ protected theorem right_le_sup (f g : E →ₗ.[R] F)
   rw [← zero_add (g _), ← f.map_zero]
   refine' (sup_apply h _ _ _ _).symm
   simpa
-#align linear_pmap.right_le_sup LinearPmap.right_le_sup
+#align linear_pmap.right_le_sup LinearPMap.right_le_sup
 
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.sup_le LinearPMap.sup_leₓ'. -/
 protected theorem sup_le {f g h : E →ₗ.[R] F}
     (H : ∀ (x : f.domain) (y : g.domain), (x : E) = y → f x = g y) (fh : f ≤ h) (gh : g ≤ h) :
     f.sup g H ≤ h :=
   have Hf : f ≤ f.sup g H ⊓ h := le_inf (f.left_le_sup g H) fh
   have Hg : g ≤ f.sup g H ⊓ h := le_inf (f.right_le_sup g H) gh
   le_of_eqLocus_ge <| sup_le Hf.1 Hg.1
-#align linear_pmap.sup_le LinearPmap.sup_le
+#align linear_pmap.sup_le LinearPMap.sup_le
 
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.sup_h_of_disjoint LinearPMap.sup_h_of_disjointₓ'. -/
 /-- Hypothesis for `linear_pmap.sup` holds, if `f.domain` is disjoint with `g.domain`. -/
 theorem sup_h_of_disjoint (f g : E →ₗ.[R] F) (h : Disjoint f.domain g.domain) (x : f.domain)
     (y : g.domain) (hxy : (x : E) = y) : f x = g y :=
@@ -375,7 +577,7 @@ theorem sup_h_of_disjoint (f g : E →ₗ.[R] F) (h : Disjoint f.domain g.domain
   have hy : y = 0 := Subtype.eq (h y (hxy ▸ x.2) y.2)
   have hx : x = 0 := Subtype.eq (hxy.trans <| congr_arg _ hy)
   simp [*]
-#align linear_pmap.sup_h_of_disjoint LinearPmap.sup_h_of_disjoint
+#align linear_pmap.sup_h_of_disjoint LinearPMap.sup_h_of_disjoint
 
 section Smul
 
@@ -388,19 +590,37 @@ instance : SMul M (E →ₗ.[R] F) :=
     { domain := f.domain
       toFun := a • f.toFun }⟩
 
+/- warning: linear_pmap.smul_domain -> LinearPMap.smul_domain is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {M : Type.{u4}} [_inst_8 : Monoid.{u4} M] [_inst_9 : DistribMulAction.{u4, u3} M F _inst_8 (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))] [_inst_10 : SMulCommClass.{u1, u4, u3} R M F (SMulZeroClass.toHasSmul.{u1, u3} R F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R F (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R F (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (Module.toMulActionWithZero.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5)))) (SMulZeroClass.toHasSmul.{u4, u3} M F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))))) (DistribSMul.toSmulZeroClass.{u4, u3} M F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))) (DistribMulAction.toDistribSMul.{u4, u3} M F _inst_8 (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))) _inst_9)))] (a : M) (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5), Eq.{succ u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (SMul.smul.{u4, max u2 u3} M (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u1, u2, u3, u4} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10) a f)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)
+but is expected to have type
+  forall {R : Type.{u4}} [_inst_1 : Ring.{u4} R] {E : Type.{u3}} [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u4, u2} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] {M : Type.{u1}} [_inst_8 : Monoid.{u1} M] [_inst_9 : DistribMulAction.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))] [_inst_10 : SMulCommClass.{u4, u1, u2} R M F (SMulZeroClass.toSMul.{u4, u2} R F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u4, u2} R F (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (Ring.toSemiring.{u4} R _inst_1))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u4, u2} R F (Semiring.toMonoidWithZero.{u4} R (Ring.toSemiring.{u4} R _inst_1)) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (Module.toMulActionWithZero.{u4, u2} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_5)))) (SMulZeroClass.toSMul.{u1, u2} M F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (DistribSMul.toSMulZeroClass.{u1, u2} M F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))) (DistribMulAction.toDistribSMul.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4))) _inst_9)))] (a : M) (f : LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5), Eq.{succ u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HSMul.hSMul.{u1, max u3 u2, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHSMul.{u1, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u4, u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10)) a f)) (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)
+Case conversion may be inaccurate. Consider using '#align linear_pmap.smul_domain LinearPMap.smul_domainₓ'. -/
 @[simp]
 theorem smul_domain (a : M) (f : E →ₗ.[R] F) : (a • f).domain = f.domain :=
   rfl
-#align linear_pmap.smul_domain LinearPmap.smul_domain
+#align linear_pmap.smul_domain LinearPMap.smul_domain
 
+/- warning: linear_pmap.smul_apply -> LinearPMap.smul_apply is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {M : Type.{u4}} [_inst_8 : Monoid.{u4} M] [_inst_9 : DistribMulAction.{u4, u3} M F _inst_8 (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))] [_inst_10 : SMulCommClass.{u1, u4, u3} R M F (SMulZeroClass.toHasSmul.{u1, u3} R F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R F (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R 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(DistribMulAction.toDistribSMul.{u4, u3} M F _inst_8 (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))) _inst_9)))] (a : M) (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (SMul.smul.{u4, max u2 u3} M (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u1, u2, u3, u4} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10) a f))), Eq.{succ u3} F 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_inst_9 _inst_10) a f) x) (SMul.smul.{u4, u3} M F (SMulZeroClass.toHasSmul.{u4, u3} M F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))))) (DistribSMul.toSmulZeroClass.{u4, u3} M F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))) (DistribMulAction.toDistribSMul.{u4, u3} M F _inst_8 (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))) _inst_9))) a (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f x))
+but is expected to have type
+  forall {R : Type.{u4}} [_inst_1 : Ring.{u4} R] {E : Type.{u3}} [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u4, u2} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] {M : Type.{u1}} [_inst_8 : Monoid.{u1} M] [_inst_9 : DistribMulAction.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))] [_inst_10 : SMulCommClass.{u4, u1, u2} R M F (SMulZeroClass.toSMul.{u4, u2} R F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u4, u2} R F (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (Ring.toSemiring.{u4} R _inst_1))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u4, u2} R F (Semiring.toMonoidWithZero.{u4} R (Ring.toSemiring.{u4} R _inst_1)) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (Module.toMulActionWithZero.{u4, u2} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_5)))) (SMulZeroClass.toSMul.{u1, u2} M F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (DistribSMul.toSMulZeroClass.{u1, u2} M F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))) (DistribMulAction.toDistribSMul.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4))) _inst_9)))] (a : M) (f : LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x : Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HSMul.hSMul.{u1, max u3 u2, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHSMul.{u1, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u4, u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10)) a f)))), Eq.{succ u2} F (LinearPMap.toFun'.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HSMul.hSMul.{u1, max u3 u2, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHSMul.{u1, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u4, u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10)) a f) x) (HSMul.hSMul.{u1, u2, u2} M F F (instHSMul.{u1, u2} M F (SMulZeroClass.toSMul.{u1, u2} M F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (DistribSMul.toSMulZeroClass.{u1, u2} M F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))) (DistribMulAction.toDistribSMul.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4))) _inst_9)))) a (LinearPMap.toFun'.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
+Case conversion may be inaccurate. Consider using '#align linear_pmap.smul_apply LinearPMap.smul_applyₓ'. -/
 theorem smul_apply (a : M) (f : E →ₗ.[R] F) (x : (a • f).domain) : (a • f) x = a • f x :=
   rfl
-#align linear_pmap.smul_apply LinearPmap.smul_apply
+#align linear_pmap.smul_apply LinearPMap.smul_apply
 
+/- warning: linear_pmap.coe_smul -> LinearPMap.coe_smul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {M : Type.{u4}} [_inst_8 : Monoid.{u4} M] [_inst_9 : DistribMulAction.{u4, u3} M F _inst_8 (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))] [_inst_10 : SMulCommClass.{u1, u4, u3} R M F (SMulZeroClass.toHasSmul.{u1, u3} R F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R F (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R F (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (Module.toMulActionWithZero.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5)))) (SMulZeroClass.toHasSmul.{u4, u3} M F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))))) (DistribSMul.toSmulZeroClass.{u4, u3} M F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))) (DistribMulAction.toDistribSMul.{u4, u3} M F _inst_8 (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))) _inst_9)))] (a : M) (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5), Eq.{succ (max u2 u3)} ((coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (SMul.smul.{u4, max u2 u3} M (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u1, u2, u3, u4} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10) a f))) -> F) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (SMul.smul.{u4, max u2 u3} M (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u1, u2, u3, u4} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10) a f)) (SMul.smul.{u4, max u2 u3} M ((coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (SMul.smul.{u4, max u2 u3} M (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u1, u2, u3, u4} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10) a f))) -> F) (Function.hasSMul.{u2, u4, u3} (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (SMul.smul.{u4, max u2 u3} M (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u1, u2, u3, u4} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10) a f))) M F (SMulZeroClass.toHasSmul.{u4, u3} M F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))))) (DistribSMul.toSmulZeroClass.{u4, u3} M F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))) (DistribMulAction.toDistribSMul.{u4, u3} M F _inst_8 (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))) _inst_9)))) a (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (f : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.setLike.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) (LinearPMap.domain.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) -> F) (LinearPMap.hasCoeToFun.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) f))
+but is expected to have type
+  forall {R : Type.{u4}} [_inst_1 : Ring.{u4} R] {E : Type.{u3}} [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u4, u2} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] {M : Type.{u1}} [_inst_8 : Monoid.{u1} M] [_inst_9 : DistribMulAction.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))] [_inst_10 : SMulCommClass.{u4, u1, u2} R M F (SMulZeroClass.toSMul.{u4, u2} R F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u4, u2} R F (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (Ring.toSemiring.{u4} R _inst_1))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u4, u2} R F (Semiring.toMonoidWithZero.{u4} R (Ring.toSemiring.{u4} R _inst_1)) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (Module.toMulActionWithZero.{u4, u2} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_5)))) (SMulZeroClass.toSMul.{u1, u2} M F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (DistribSMul.toSMulZeroClass.{u1, u2} M F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))) (DistribMulAction.toDistribSMul.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4))) _inst_9)))] (a : M) (f : LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5), Eq.{max (succ u3) (succ u2)} ((Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HSMul.hSMul.{u1, max u3 u2, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHSMul.{u1, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u4, u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10)) a f)))) -> F) (LinearPMap.toFun'.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (HSMul.hSMul.{u1, max u3 u2, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (instHSMul.{u1, max u3 u2} M (LinearPMap.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.smul.{u4, u3, u2, u1} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 M _inst_8 _inst_9 _inst_10)) a f)) (HSMul.hSMul.{u1, max u3 u2, max u3 u2} M ((Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) -> F) ((Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) -> F) (instHSMul.{u1, max u3 u2} M ((Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) -> F) (Pi.instSMul.{u3, u2, u1} (Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) M (fun (a._@.Mathlib.LinearAlgebra.LinearPMap._hyg.808 : Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) => F) (fun (i : Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)) x (LinearPMap.domain.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))) => SMulZeroClass.toSMul.{u1, u2} M F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (DistribSMul.toSMulZeroClass.{u1, u2} M F (AddMonoid.toAddZeroClass.{u2} F (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))) (DistribMulAction.toDistribSMul.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4))) _inst_9))))) a (LinearPMap.toFun'.{u4, u3, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
+Case conversion may be inaccurate. Consider using '#align linear_pmap.coe_smul LinearPMap.coe_smulₓ'. -/
 @[simp]
 theorem coe_smul (a : M) (f : E →ₗ.[R] F) : ⇑(a • f) = a • f :=
   rfl
-#align linear_pmap.coe_smul LinearPmap.coe_smul
+#align linear_pmap.coe_smul LinearPMap.coe_smul
 
 instance [SMulCommClass M N F] : SMulCommClass M N (E →ₗ.[R] F) :=
   ⟨fun a b f => ext' <| smul_comm a b f.toFun⟩
@@ -422,20 +642,38 @@ instance : VAdd (E →ₗ[R] F) (E →ₗ.[R] F) :=
     { domain := g.domain
       toFun := f.comp g.domain.Subtype + g.toFun }⟩
 
+/- warning: linear_pmap.vadd_domain -> LinearPMap.vadd_domain is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.vadd_domain LinearPMap.vadd_domainₓ'. -/
 @[simp]
 theorem vadd_domain (f : E →ₗ[R] F) (g : E →ₗ.[R] F) : (f +ᵥ g).domain = g.domain :=
   rfl
-#align linear_pmap.vadd_domain LinearPmap.vadd_domain
+#align linear_pmap.vadd_domain LinearPMap.vadd_domain
 
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.vadd_apply LinearPMap.vadd_applyₓ'. -/
 theorem vadd_apply (f : E →ₗ[R] F) (g : E →ₗ.[R] F) (x : (f +ᵥ g).domain) :
     (f +ᵥ g) x = f x + g x :=
   rfl
-#align linear_pmap.vadd_apply LinearPmap.vadd_apply
+#align linear_pmap.vadd_apply LinearPMap.vadd_apply
 
+/- warning: linear_pmap.coe_vadd -> LinearPMap.coe_vadd is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.coe_vadd LinearPMap.coe_vaddₓ'. -/
 @[simp]
 theorem coe_vadd (f : E →ₗ[R] F) (g : E →ₗ.[R] F) : ⇑(f +ᵥ g) = f.comp g.domain.Subtype + g :=
   rfl
-#align linear_pmap.coe_vadd LinearPmap.coe_vadd
+#align linear_pmap.coe_vadd LinearPMap.coe_vadd
 
 instance : AddAction (E →ₗ[R] F) (E →ₗ.[R] F)
     where
@@ -449,19 +687,37 @@ section
 
 variable {K : Type _} [DivisionRing K] [Module K E] [Module K F]
 
+/- warning: linear_pmap.sup_span_singleton -> LinearPMap.supSpanSingleton is a dubious translation:
+lean 3 declaration is
+  forall {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] {K : Type.{u3}} [_inst_8 : DivisionRing.{u3} K] [_inst_9 : Module.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_10 : Module.{u3, u2} K F (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] (f : LinearPMap.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) (x : E), F -> (Not (Membership.Mem.{u1, u1} E (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (SetLike.hasMem.{u1, u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) E (Submodule.setLike.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)) x (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f))) -> (LinearPMap.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10)
+but is expected to have type
+  forall {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] {K : Type.{u3}} [_inst_8 : DivisionRing.{u3} K] [_inst_9 : Module.{u3, u1} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_10 : Module.{u3, u2} K F (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] (f : LinearPMap.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10) (x : E), F -> (Not (Membership.mem.{u1, u1} E (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (SetLike.instMembership.{u1, u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) E (Submodule.instSetLikeSubmodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)) x (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 f))) -> (LinearPMap.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10)
+Case conversion may be inaccurate. Consider using '#align linear_pmap.sup_span_singleton LinearPMap.supSpanSingletonₓ'. -/
 /-- Extend a `linear_pmap` to `f.domain ⊔ K ∙ x`. -/
 noncomputable def supSpanSingleton (f : E →ₗ.[K] F) (x : E) (y : F) (hx : x ∉ f.domain) :
     E →ₗ.[K] F :=
   f.sup (mkSpanSingleton x y fun h₀ => hx <| h₀.symm ▸ f.domain.zero_mem) <|
     sup_h_of_disjoint _ _ <| by simpa [disjoint_span_singleton]
-#align linear_pmap.sup_span_singleton LinearPmap.supSpanSingleton
+#align linear_pmap.sup_span_singleton LinearPMap.supSpanSingleton
 
+/- warning: linear_pmap.domain_sup_span_singleton -> LinearPMap.domain_supSpanSingleton is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.domain_sup_span_singleton LinearPMap.domain_supSpanSingletonₓ'. -/
 @[simp]
 theorem domain_supSpanSingleton (f : E →ₗ.[K] F) (x : E) (y : F) (hx : x ∉ f.domain) :
     (f.supSpanSingleton x y hx).domain = f.domain ⊔ K ∙ x :=
   rfl
-#align linear_pmap.domain_sup_span_singleton LinearPmap.domain_supSpanSingleton
+#align linear_pmap.domain_sup_span_singleton LinearPMap.domain_supSpanSingleton
 
+/- warning: linear_pmap.sup_span_singleton_apply_mk -> LinearPMap.supSpanSingleton_apply_mk is a dubious translation:
+lean 3 declaration is
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_inst_10 (LinearPMap.mkSpanSingleton.{u3, u1, u2} K E F _inst_8 _inst_2 _inst_9 _inst_4 _inst_10 x y (LinearPMap.supSpanSingleton._proof_1.{u1, u2, u3} E _inst_2 F _inst_4 K _inst_8 _inst_9 _inst_10 f x hx)))) => Eq.{succ u1} E (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toHasAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2))))) x' z) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toHasAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)))))) x' (SMul.smul.{u3, u1} K E (SMulZeroClass.toHasSmul.{u3, u1} K E (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u3, u1} K E (MulZeroClass.toHasZero.{u3} K (MulZeroOneClass.toMulZeroClass.{u3} K 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(Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (Module.toMulActionWithZero.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)))) c x) (LinearPMap.domain.{u3, u1, u2} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 (LinearPMap.mkSpanSingleton.{u3, u1, u2} K E F _inst_8 _inst_2 _inst_9 _inst_4 _inst_10 x y (LinearPMap.supSpanSingleton._proof_1.{u1, u2, u3} E _inst_2 F _inst_4 K _inst_8 _inst_9 _inst_10 f x hx)))) (fun (H : Membership.Mem.{u1, u1} E (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9) (SetLike.hasMem.{u1, u1} (Submodule.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K 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(MulActionWithZero.toSMulWithZero.{u3, u1} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (Module.toMulActionWithZero.{u3, u1} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_9)))) c x) x) (Exists.intro.{succ u3} K (fun (a : K) => Eq.{succ u1} E (SMul.smul.{u3, u1} K E (SMulZeroClass.toHasSmul.{u3, u1} K E (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u3, u1} K E (MulZeroClass.toHasZero.{u3} K (MulZeroOneClass.toMulZeroClass.{u3} K (MonoidWithZero.toMulZeroOneClass.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))))) 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(AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_10)))) c y))
+but is expected to have type
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(MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x))))) hx' (Exists.intro.{succ u2} E (fun (z : E) => And (Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) E (Submodule.instSetLikeSubmodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9)) z (LinearPMap.domain.{u3, u2, u1} K (DivisionRing.toRing.{u3} K _inst_8) E _inst_2 _inst_9 F _inst_4 _inst_10 (LinearPMap.mkSpanSingleton.{u3, u2, u1} K E F _inst_8 _inst_2 _inst_9 _inst_4 _inst_10 x y (LinearPMap.supSpanSingleton.proof_1.{u2, u3, u1} E _inst_2 F _inst_4 K _inst_8 _inst_9 _inst_10 f x hx)))) (Eq.{succ u2} E (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E 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_inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x)))) (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (Module.toMulActionWithZero.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x) (And.intro (Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) E (Submodule.instSetLikeSubmodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E 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_inst_9 F _inst_4 _inst_10 (LinearPMap.mkSpanSingleton.{u3, u2, u1} K E F _inst_8 _inst_2 _inst_9 _inst_4 _inst_10 x y (LinearPMap.supSpanSingleton.proof_1.{u2, u3, u1} E _inst_2 F _inst_4 K _inst_8 _inst_9 _inst_10 f x hx)))) (Eq.{succ u2} E (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))))) x' (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (Module.toMulActionWithZero.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x)) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) x' (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} K E (DivisionSemiring.toSemiring.{u3} K (DivisionRing.toDivisionSemiring.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x))) (Iff.mpr (Membership.mem.{u2, u2} E (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9) E (Submodule.instSetLikeSubmodule.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9)) (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (Module.toMulActionWithZero.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x) (Submodule.span.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9 (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Exists.{succ u3} K (fun (a : K) => Eq.{succ u2} E (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (Module.toMulActionWithZero.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) a x) (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (Module.toMulActionWithZero.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x))) (Submodule.mem_span_singleton.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9 (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))) (AddMonoid.toZero.{u2} E 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(Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (Module.toMulActionWithZero.{u3, u2} K E (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_9))))) c x)) c (rfl.{succ u2} E (HSMul.hSMul.{u3, u2, u2} K E E (instHSMul.{u3, u2} K E (SMulZeroClass.toSMul.{u3, u2} K E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (SMulWithZero.toSMulZeroClass.{u3, u2} K E (MonoidWithZero.toZero.{u3} K (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K _inst_8)))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u2} K E (Semiring.toMonoidWithZero.{u3} K (Ring.toSemiring.{u3} K (DivisionRing.toRing.{u3} K 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+Case conversion may be inaccurate. Consider using '#align linear_pmap.sup_span_singleton_apply_mk LinearPMap.supSpanSingleton_apply_mkₓ'. -/
 @[simp]
 theorem supSpanSingleton_apply_mk (f : E →ₗ.[K] F) (x : E) (y : F) (hx : x ∉ f.domain) (x' : E)
     (hx' : x' ∈ f.domain) (c : K) :
@@ -472,7 +728,7 @@ theorem supSpanSingleton_apply_mk (f : E →ₗ.[K] F) (x : E) (y : F) (hx : x 
   erw [sup_apply _ ⟨x', hx'⟩ ⟨c • x, _⟩, mk_span_singleton'_apply]
   rfl
   exact mem_span_singleton.2 ⟨c, rfl⟩
-#align linear_pmap.sup_span_singleton_apply_mk LinearPmap.supSpanSingleton_apply_mk
+#align linear_pmap.sup_span_singleton_apply_mk LinearPMap.supSpanSingleton_apply_mk
 
 end
 
@@ -510,125 +766,170 @@ private theorem Sup_aux (c : Set (E →ₗ.[R] F)) (hc : DirectedOn (· ≤ ·)
     exact f_eq ⟨p, hpc⟩ _ _ hxy.symm
 #align linear_pmap.Sup_aux linear_pmap.Sup_aux
 
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+#print LinearPMap.supₛ /-
 /-- Glue a collection of partially defined linear maps to a linear map defined on `Sup`
 of these submodules. -/
-protected noncomputable def sup (c : Set (E →ₗ.[R] F)) (hc : DirectedOn (· ≤ ·) c) : E →ₗ.[R] F :=
+protected noncomputable def supₛ (c : Set (E →ₗ.[R] F)) (hc : DirectedOn (· ≤ ·) c) : E →ₗ.[R] F :=
   ⟨_, Classical.choose <| supₛ_aux c hc⟩
-#align linear_pmap.Sup LinearPmap.sup
+#align linear_pmap.Sup LinearPMap.supₛ
+-/
 
-protected theorem le_sup {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {f : E →ₗ.[R] F}
-    (hf : f ∈ c) : f ≤ LinearPmap.sup c hc :=
+#print LinearPMap.le_supₛ /-
+protected theorem le_supₛ {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {f : E →ₗ.[R] F}
+    (hf : f ∈ c) : f ≤ LinearPMap.supₛ c hc :=
   Classical.choose_spec (supₛ_aux c hc) hf
-#align linear_pmap.le_Sup LinearPmap.le_sup
+#align linear_pmap.le_Sup LinearPMap.le_supₛ
+-/
 
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-Case conversion may be inaccurate. Consider using '#align linear_pmap.Sup_le LinearPmap.sup_leₓ'. -/
-protected theorem sup_le {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {g : E →ₗ.[R] F}
-    (hg : ∀ f ∈ c, f ≤ g) : LinearPmap.sup c hc ≤ g :=
+#print LinearPMap.supₛ_le /-
+protected theorem supₛ_le {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {g : E →ₗ.[R] F}
+    (hg : ∀ f ∈ c, f ≤ g) : LinearPMap.supₛ c hc ≤ g :=
   le_of_eqLocus_ge <|
     supₛ_le fun _ ⟨f, hf, Eq⟩ =>
       Eq ▸
-        have : f ≤ LinearPmap.sup c hc ⊓ g := le_inf (LinearPmap.le_sup _ hf) (hg f hf)
+        have : f ≤ LinearPMap.supₛ c hc ⊓ g := le_inf (LinearPMap.le_supₛ _ hf) (hg f hf)
         this.1
-#align linear_pmap.Sup_le LinearPmap.sup_le
+#align linear_pmap.Sup_le LinearPMap.supₛ_le
+-/
 
-/- warning: linear_pmap.Sup_apply clashes with linear_pmap.sup_apply -> LinearPmap.sup_apply
-warning: linear_pmap.Sup_apply -> LinearPmap.sup_apply is a dubious translation:
+/- warning: linear_pmap.Sup_apply -> LinearPMap.supₛ_apply is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align linear_pmap.Sup_apply LinearPmap.sup_applyₓ'. -/
-protected theorem sup_apply {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {l : E →ₗ.[R] F}
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] {c : Set.{max u3 u2} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)} (hc : DirectedOn.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (fun (x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.10387 : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.10389 : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) => LE.le.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (LinearPMap.le.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.10387 x._@.Mathlib.LinearAlgebra.LinearPMap._hyg.10389) c) {l : LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5} (hl : Membership.mem.{max u2 u3, max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (Set.{max u3 u2} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) (Set.instMembershipSet.{max u2 u3} (LinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5)) l c) (x : Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) x (LinearPMap.domain.{u1, u2, u3} R _inst_1 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_inst_3 F _inst_4 _inst_5 l)) x)))) (LinearPMap.toFun'.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 l x)
+Case conversion may be inaccurate. Consider using '#align linear_pmap.Sup_apply LinearPMap.supₛ_applyₓ'. -/
+protected theorem supₛ_apply {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {l : E →ₗ.[R] F}
     (hl : l ∈ c) (x : l.domain) :
-    (LinearPmap.sup c hc) ⟨x, (LinearPmap.le_sup hc hl).1 x.2⟩ = l x :=
+    (LinearPMap.supₛ c hc) ⟨x, (LinearPMap.le_supₛ hc hl).1 x.2⟩ = l x :=
   by
   symm
   apply (Classical.choose_spec (Sup_aux c hc) hl).2
   rfl
-#align linear_pmap.Sup_apply LinearPmap.sup_apply
+#align linear_pmap.Sup_apply LinearPMap.supₛ_apply
 
-end LinearPmap
+end LinearPMap
 
 namespace LinearMap
 
+#print LinearMap.toPMap /-
 /-- Restrict a linear map to a submodule, reinterpreting the result as a `linear_pmap`. -/
-def toPmap (f : E →ₗ[R] F) (p : Submodule R E) : E →ₗ.[R] F :=
+def toPMap (f : E →ₗ[R] F) (p : Submodule R E) : E →ₗ.[R] F :=
   ⟨p, f.comp p.Subtype⟩
-#align linear_map.to_pmap LinearMap.toPmap
+#align linear_map.to_pmap LinearMap.toPMap
+-/
 
+/- warning: linear_map.to_pmap_apply -> LinearMap.toPMap_apply is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align linear_map.to_pmap_apply LinearMap.toPMap_applyₓ'. -/
 @[simp]
-theorem toPmap_apply (f : E →ₗ[R] F) (p : Submodule R E) (x : p) : f.toPmap p x = f x :=
+theorem toPMap_apply (f : E →ₗ[R] F) (p : Submodule R E) (x : p) : f.toPMap p x = f x :=
   rfl
-#align linear_map.to_pmap_apply LinearMap.toPmap_apply
+#align linear_map.to_pmap_apply LinearMap.toPMap_apply
 
+#print LinearMap.compPMap /-
 /-- Compose a linear map with a `linear_pmap` -/
-def compPmap (g : F →ₗ[R] G) (f : E →ₗ.[R] F) : E →ₗ.[R] G
+def compPMap (g : F →ₗ[R] G) (f : E →ₗ.[R] F) : E →ₗ.[R] G
     where
   domain := f.domain
   toFun := g.comp f.toFun
-#align linear_map.comp_pmap LinearMap.compPmap
+#align linear_map.comp_pmap LinearMap.compPMap
+-/
 
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 @[simp]
-theorem compPmap_apply (g : F →ₗ[R] G) (f : E →ₗ.[R] F) (x) : g.compPmap f x = g (f x) :=
+theorem compPMap_apply (g : F →ₗ[R] G) (f : E →ₗ.[R] F) (x) : g.compPMap f x = g (f x) :=
   rfl
-#align linear_map.comp_pmap_apply LinearMap.compPmap_apply
+#align linear_map.comp_pmap_apply LinearMap.compPMap_apply
 
 end LinearMap
 
-namespace LinearPmap
+namespace LinearPMap
 
+/- warning: linear_pmap.cod_restrict -> LinearPMap.codRestrict is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.cod_restrict LinearPMap.codRestrictₓ'. -/
 /-- Restrict codomain of a `linear_pmap` -/
 def codRestrict (f : E →ₗ.[R] F) (p : Submodule R F) (H : ∀ x, f x ∈ p) : E →ₗ.[R] p
     where
   domain := f.domain
   toFun := f.toFun.codRestrict p H
-#align linear_pmap.cod_restrict LinearPmap.codRestrict
+#align linear_pmap.cod_restrict LinearPMap.codRestrict
 
+/- warning: linear_pmap.comp -> LinearPMap.comp is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.comp LinearPMap.compₓ'. -/
 /-- Compose two `linear_pmap`s -/
 def comp (g : F →ₗ.[R] G) (f : E →ₗ.[R] F) (H : ∀ x : f.domain, f x ∈ g.domain) : E →ₗ.[R] G :=
-  g.toFun.compPmap <| f.codRestrict _ H
-#align linear_pmap.comp LinearPmap.comp
+  g.toFun.compPMap <| f.codRestrict _ H
+#align linear_pmap.comp LinearPMap.comp
 
+/- warning: linear_pmap.coprod -> LinearPMap.coprod is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.coprod LinearPMap.coprodₓ'. -/
 /-- `f.coprod g` is the partially defined linear map defined on `f.domain × g.domain`,
 and sending `p` to `f p.1 + g p.2`. -/
 def coprod (f : E →ₗ.[R] G) (g : F →ₗ.[R] G) : E × F →ₗ.[R] G
     where
   domain := f.domain.Prod g.domain
   toFun :=
-    (f.comp (LinearPmap.fst f.domain g.domain) fun x => x.2.1).toFun +
-      (g.comp (LinearPmap.snd f.domain g.domain) fun x => x.2.2).toFun
-#align linear_pmap.coprod LinearPmap.coprod
+    (f.comp (LinearPMap.fst f.domain g.domain) fun x => x.2.1).toFun +
+      (g.comp (LinearPMap.snd f.domain g.domain) fun x => x.2.2).toFun
+#align linear_pmap.coprod LinearPMap.coprod
 
+/- warning: linear_pmap.coprod_apply -> LinearPMap.coprod_apply is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.coprod_apply LinearPMap.coprod_applyₓ'. -/
 @[simp]
 theorem coprod_apply (f : E →ₗ.[R] G) (g : F →ₗ.[R] G) (x) :
     f.coprod g x = f ⟨(x : E × F).1, x.2.1⟩ + g ⟨(x : E × F).2, x.2.2⟩ :=
   rfl
-#align linear_pmap.coprod_apply LinearPmap.coprod_apply
+#align linear_pmap.coprod_apply LinearPMap.coprod_apply
 
+#print LinearPMap.domRestrict /-
 /-- Restrict a partially defined linear map to a submodule of `E` contained in `f.domain`. -/
 def domRestrict (f : E →ₗ.[R] F) (S : Submodule R E) : E →ₗ.[R] F :=
   ⟨S ⊓ f.domain, f.toFun.comp (Submodule.ofLe (by simp))⟩
-#align linear_pmap.dom_restrict LinearPmap.domRestrict
+#align linear_pmap.dom_restrict LinearPMap.domRestrict
+-/
 
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.dom_restrict_domain LinearPMap.domRestrict_domainₓ'. -/
 @[simp]
 theorem domRestrict_domain (f : E →ₗ.[R] F) {S : Submodule R E} :
     (f.domRestrict S).domain = S ⊓ f.domain :=
   rfl
-#align linear_pmap.dom_restrict_domain LinearPmap.domRestrict_domain
+#align linear_pmap.dom_restrict_domain LinearPMap.domRestrict_domain
 
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.dom_restrict_apply LinearPMap.domRestrict_applyₓ'. -/
 theorem domRestrict_apply {f : E →ₗ.[R] F} {S : Submodule R E} ⦃x : S ⊓ f.domain⦄ ⦃y : f.domain⦄
     (h : (x : E) = y) : f.domRestrict S x = f y :=
   by
@@ -636,41 +937,77 @@ theorem domRestrict_apply {f : E →ₗ.[R] F} {S : Submodule R E} ⦃x : S ⊓
     ext
     simp [h]
   rw [← this]
-  exact LinearPmap.mk_apply _ _ _
-#align linear_pmap.dom_restrict_apply LinearPmap.domRestrict_apply
+  exact LinearPMap.mk_apply _ _ _
+#align linear_pmap.dom_restrict_apply LinearPMap.domRestrict_apply
 
+/- warning: linear_pmap.dom_restrict_le -> LinearPMap.domRestrict_le is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.dom_restrict_le LinearPMap.domRestrict_leₓ'. -/
 theorem domRestrict_le {f : E →ₗ.[R] F} {S : Submodule R E} : f.domRestrict S ≤ f :=
   ⟨by simp, fun x y hxy => domRestrict_apply hxy⟩
-#align linear_pmap.dom_restrict_le LinearPmap.domRestrict_le
+#align linear_pmap.dom_restrict_le LinearPMap.domRestrict_le
 
 /-! ### Graph -/
 
 
 section Graph
 
+/- warning: linear_pmap.graph -> LinearPMap.graph is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.graph LinearPMap.graphₓ'. -/
 /-- The graph of a `linear_pmap` viewed as a submodule on `E × F`. -/
 def graph (f : E →ₗ.[R] F) : Submodule R (E × F) :=
   f.toFun.graph.map (f.domain.Subtype.Prod_map (LinearMap.id : F →ₗ[R] F))
-#align linear_pmap.graph LinearPmap.graph
+#align linear_pmap.graph LinearPMap.graph
 
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.mem_graph_iff' LinearPMap.mem_graph_iff'ₓ'. -/
 theorem mem_graph_iff' (f : E →ₗ.[R] F) {x : E × F} : x ∈ f.graph ↔ ∃ y : f.domain, (↑y, f y) = x :=
   by simp [graph]
-#align linear_pmap.mem_graph_iff' LinearPmap.mem_graph_iff'
+#align linear_pmap.mem_graph_iff' LinearPMap.mem_graph_iff'
 
+/- warning: linear_pmap.mem_graph_iff -> LinearPMap.mem_graph_iff is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.mem_graph_iff LinearPMap.mem_graph_iffₓ'. -/
 @[simp]
 theorem mem_graph_iff (f : E →ₗ.[R] F) {x : E × F} :
     x ∈ f.graph ↔ ∃ y : f.domain, (↑y : E) = x.1 ∧ f y = x.2 :=
   by
   cases x
   simp_rw [mem_graph_iff', Prod.mk.inj_iff]
-#align linear_pmap.mem_graph_iff LinearPmap.mem_graph_iff
+#align linear_pmap.mem_graph_iff LinearPMap.mem_graph_iff
 
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.mem_graph LinearPMap.mem_graphₓ'. -/
 /-- The tuple `(x, f x)` is contained in the graph of `f`. -/
 theorem mem_graph (f : E →ₗ.[R] F) (x : domain f) : ((x : E), f x) ∈ f.graph := by simp
-#align linear_pmap.mem_graph LinearPmap.mem_graph
+#align linear_pmap.mem_graph LinearPMap.mem_graph
 
 variable {M : Type _} [Monoid M] [DistribMulAction M F] [SMulCommClass R M F] (y : M)
 
+/- warning: linear_pmap.smul_graph -> LinearPMap.smul_graph is a dubious translation:
+lean 3 declaration is
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(Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R F (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)))) (Module.toMulActionWithZero.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5)))) (SMulZeroClass.toHasSmul.{u4, u3} M F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4))))) (DistribSMul.toSmulZeroClass.{u4, u3} M F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))) 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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SMul.smul.{u4, u3} M (LinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) F F (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5 _inst_5) (LinearMap.hasSmul.{u1, u1, u4, u3, u3} R R M F F (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5 _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) _inst_8 _inst_9 _inst_10) z (LinearMap.id.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_5))) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
+but is expected to have type
+  forall {R : Type.{u4}} [_inst_1 : Ring.{u4} R] {E : Type.{u3}} [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u4, u3} R E (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u4, u2} R F (Ring.toSemiring.{u4} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] {M : Type.{u1}} [_inst_8 : Monoid.{u1} M] [_inst_9 : DistribMulAction.{u1, u2} M F _inst_8 (SubNegMonoid.toAddMonoid.{u2} F (AddGroup.toSubNegMonoid.{u2} F (AddCommGroup.toAddGroup.{u2} F _inst_4)))] [_inst_10 : SMulCommClass.{u4, u1, u2} R M F (SMulZeroClass.toSMul.{u4, u2} R F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))) (SMulWithZero.toSMulZeroClass.{u4, u2} R F (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (Ring.toSemiring.{u4} R 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+Case conversion may be inaccurate. Consider using '#align linear_pmap.smul_graph LinearPMap.smul_graphₓ'. -/
 /-- The graph of `z • f` as a pushforward. -/
 theorem smul_graph (f : E →ₗ.[R] F) (z : M) :
     (z • f).graph =
@@ -680,7 +1017,7 @@ theorem smul_graph (f : E →ₗ.[R] F) (z : M) :
   constructor <;> intro h
   · rw [mem_graph_iff] at h
     rcases h with ⟨y, hy, h⟩
-    rw [LinearPmap.smul_apply] at h
+    rw [LinearPMap.smul_apply] at h
     rw [Submodule.mem_map]
     simp only [mem_graph_iff, LinearMap.prodMap_apply, LinearMap.id_coe, id.def,
       LinearMap.smul_apply, Prod.mk.inj_iff, Prod.exists, exists_exists_and_eq_and]
@@ -696,8 +1033,14 @@ theorem smul_graph (f : E →ₗ.[R] F) (z : M) :
   use y
   rw [← h.1, ← h.2]
   simp [hy, hx']
-#align linear_pmap.smul_graph LinearPmap.smul_graph
+#align linear_pmap.smul_graph LinearPMap.smul_graph
 
+/- warning: linear_pmap.neg_graph -> LinearPMap.neg_graph is a dubious translation:
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+but is expected to have type
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_inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
+Case conversion may be inaccurate. Consider using '#align linear_pmap.neg_graph LinearPMap.neg_graphₓ'. -/
 /-- The graph of `-f` as a pushforward. -/
 theorem neg_graph (f : E →ₗ.[R] F) :
     (-f).graph = f.graph.map ((LinearMap.id : E →ₗ[R] E).Prod_map (-(LinearMap.id : F →ₗ[R] F))) :=
@@ -706,7 +1049,7 @@ theorem neg_graph (f : E →ₗ.[R] F) :
   constructor <;> intro h
   · rw [mem_graph_iff] at h
     rcases h with ⟨y, hy, h⟩
-    rw [LinearPmap.neg_apply] at h
+    rw [LinearPMap.neg_apply] at h
     rw [Submodule.mem_map]
     simp only [mem_graph_iff, LinearMap.prodMap_apply, LinearMap.id_coe, id.def,
       LinearMap.neg_apply, Prod.mk.inj_iff, Prod.exists, exists_exists_and_eq_and]
@@ -722,8 +1065,14 @@ theorem neg_graph (f : E →ₗ.[R] F) :
   use y
   rw [← h.1, ← h.2]
   simp [hy, hx']
-#align linear_pmap.neg_graph LinearPmap.neg_graph
+#align linear_pmap.neg_graph LinearPMap.neg_graph
 
+/- warning: linear_pmap.mem_graph_snd_inj -> LinearPMap.mem_graph_snd_inj is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.mem_graph_snd_inj LinearPMap.mem_graph_snd_injₓ'. -/
 theorem mem_graph_snd_inj (f : E →ₗ.[R] F) {x y : E} {x' y' : F} (hx : (x, x') ∈ f.graph)
     (hy : (y, y') ∈ f.graph) (hxy : x = y) : x' = y' :=
   by
@@ -733,21 +1082,39 @@ theorem mem_graph_snd_inj (f : E →ₗ.[R] F) {x y : E} {x' y' : F} (hx : (x, x
   simp only at hx1 hx2 hy1 hy2
   rw [← hx1, ← hy1, SetLike.coe_eq_coe] at hxy
   rw [← hx2, ← hy2, hxy]
-#align linear_pmap.mem_graph_snd_inj LinearPmap.mem_graph_snd_inj
+#align linear_pmap.mem_graph_snd_inj LinearPMap.mem_graph_snd_inj
 
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.mem_graph_snd_inj' LinearPMap.mem_graph_snd_inj'ₓ'. -/
 theorem mem_graph_snd_inj' (f : E →ₗ.[R] F) {x y : E × F} (hx : x ∈ f.graph) (hy : y ∈ f.graph)
     (hxy : x.1 = y.1) : x.2 = y.2 := by
   cases x
   cases y
   exact f.mem_graph_snd_inj hx hy hxy
-#align linear_pmap.mem_graph_snd_inj' LinearPmap.mem_graph_snd_inj'
+#align linear_pmap.mem_graph_snd_inj' LinearPMap.mem_graph_snd_inj'
 
+/- warning: linear_pmap.graph_fst_eq_zero_snd -> LinearPMap.graph_fst_eq_zero_snd is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.graph_fst_eq_zero_snd LinearPMap.graph_fst_eq_zero_sndₓ'. -/
 /-- The property that `f 0 = 0` in terms of the graph. -/
 theorem graph_fst_eq_zero_snd (f : E →ₗ.[R] F) {x : E} {x' : F} (h : (x, x') ∈ f.graph)
     (hx : x = 0) : x' = 0 :=
   f.mem_graph_snd_inj h f.graph.zero_mem hx
-#align linear_pmap.graph_fst_eq_zero_snd LinearPmap.graph_fst_eq_zero_snd
+#align linear_pmap.graph_fst_eq_zero_snd LinearPMap.graph_fst_eq_zero_snd
 
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.mem_domain_iff LinearPMap.mem_domain_iffₓ'. -/
 theorem mem_domain_iff {f : E →ₗ.[R] F} {x : E} : x ∈ f.domain ↔ ∃ y : F, (x, y) ∈ f.graph :=
   by
   constructor <;> intro h
@@ -759,14 +1126,26 @@ theorem mem_domain_iff {f : E →ₗ.[R] F} {x : E} : x ∈ f.domain ↔ ∃ y :
   simp only at h
   rw [← h.1]
   simp
-#align linear_pmap.mem_domain_iff LinearPmap.mem_domain_iff
+#align linear_pmap.mem_domain_iff LinearPMap.mem_domain_iff
 
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.mem_domain_of_mem_graph LinearPMap.mem_domain_of_mem_graphₓ'. -/
 theorem mem_domain_of_mem_graph {f : E →ₗ.[R] F} {x : E} {y : F} (h : (x, y) ∈ f.graph) :
     x ∈ f.domain := by
   rw [mem_domain_iff]
   exact ⟨y, h⟩
-#align linear_pmap.mem_domain_of_mem_graph LinearPmap.mem_domain_of_mem_graph
+#align linear_pmap.mem_domain_of_mem_graph LinearPMap.mem_domain_of_mem_graph
 
+/- warning: linear_pmap.image_iff -> LinearPMap.image_iff is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.image_iff LinearPMap.image_iffₓ'. -/
 theorem image_iff {f : E →ₗ.[R] F} {x : E} {y : F} (hx : x ∈ f.domain) :
     y = f ⟨x, hx⟩ ↔ (x, y) ∈ f.graph := by
   rw [mem_graph_iff]
@@ -776,8 +1155,14 @@ theorem image_iff {f : E →ₗ.[R] F} {x : E} {y : F} (hx : x ∈ f.domain) :
   rcases h with ⟨⟨x', hx'⟩, ⟨h1, h2⟩⟩
   simp only [Submodule.coe_mk] at h1 h2
   simp only [← h2, h1]
-#align linear_pmap.image_iff LinearPmap.image_iff
+#align linear_pmap.image_iff LinearPMap.image_iff
 
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.mem_range_iff LinearPMap.mem_range_iffₓ'. -/
 theorem mem_range_iff {f : E →ₗ.[R] F} {y : F} : y ∈ Set.range f ↔ ∃ x : E, (x, y) ∈ f.graph :=
   by
   constructor <;> intro h
@@ -793,12 +1178,24 @@ theorem mem_range_iff {f : E →ₗ.[R] F} {y : F} : y ∈ Set.range f ↔ ∃ x
   use x
   simp only at h
   rw [h.2]
-#align linear_pmap.mem_range_iff LinearPmap.mem_range_iff
+#align linear_pmap.mem_range_iff LinearPMap.mem_range_iff
 
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.mem_domain_iff_of_eq_graph LinearPMap.mem_domain_iff_of_eq_graphₓ'. -/
 theorem mem_domain_iff_of_eq_graph {f g : E →ₗ.[R] F} (h : f.graph = g.graph) {x : E} :
     x ∈ f.domain ↔ x ∈ g.domain := by simp_rw [mem_domain_iff, h]
-#align linear_pmap.mem_domain_iff_of_eq_graph LinearPmap.mem_domain_iff_of_eq_graph
+#align linear_pmap.mem_domain_iff_of_eq_graph LinearPMap.mem_domain_iff_of_eq_graph
 
+/- warning: linear_pmap.le_of_le_graph -> LinearPMap.le_of_le_graph is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.le_of_le_graph LinearPMap.le_of_le_graphₓ'. -/
 theorem le_of_le_graph {f g : E →ₗ.[R] F} (h : f.graph ≤ g.graph) : f ≤ g :=
   by
   constructor
@@ -814,8 +1211,14 @@ theorem le_of_le_graph {f g : E →ₗ.[R] F} (h : f.graph ≤ g.graph) : f ≤
   rw [hxy] at hx
   rw [← image_iff hx]
   simp [hxy]
-#align linear_pmap.le_of_le_graph LinearPmap.le_of_le_graph
+#align linear_pmap.le_of_le_graph LinearPMap.le_of_le_graph
 
+/- warning: linear_pmap.le_graph_of_le -> LinearPMap.le_graph_of_le is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.le_graph_of_le LinearPMap.le_graph_of_leₓ'. -/
 theorem le_graph_of_le {f g : E →ₗ.[R] F} (h : f ≤ g) : f.graph ≤ g.graph :=
   by
   intro x hx
@@ -827,27 +1230,45 @@ theorem le_graph_of_le {f g : E →ₗ.[R] F} (h : f ≤ g) : f.graph ≤ g.grap
   convert hx.2
   refine' (h.2 _).symm
   simp only [hx.1, Submodule.coe_mk]
-#align linear_pmap.le_graph_of_le LinearPmap.le_graph_of_le
+#align linear_pmap.le_graph_of_le LinearPMap.le_graph_of_le
 
+/- warning: linear_pmap.le_graph_iff -> LinearPMap.le_graph_iff is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.le_graph_iff LinearPMap.le_graph_iffₓ'. -/
 theorem le_graph_iff {f g : E →ₗ.[R] F} : f.graph ≤ g.graph ↔ f ≤ g :=
   ⟨le_of_le_graph, le_graph_of_le⟩
-#align linear_pmap.le_graph_iff LinearPmap.le_graph_iff
+#align linear_pmap.le_graph_iff LinearPMap.le_graph_iff
 
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+Case conversion may be inaccurate. Consider using '#align linear_pmap.eq_of_eq_graph LinearPMap.eq_of_eq_graphₓ'. -/
 theorem eq_of_eq_graph {f g : E →ₗ.[R] F} (h : f.graph = g.graph) : f = g :=
   by
   ext
   exact mem_domain_iff_of_eq_graph h
   exact (le_of_le_graph h.le).2
-#align linear_pmap.eq_of_eq_graph LinearPmap.eq_of_eq_graph
+#align linear_pmap.eq_of_eq_graph LinearPMap.eq_of_eq_graph
 
 end Graph
 
-end LinearPmap
+end LinearPMap
 
 namespace Submodule
 
 section SubmoduleToLinearPmap
 
+/- warning: submodule.exists_unique_from_graph -> Submodule.existsUnique_from_graph is a dubious translation:
+lean 3 declaration is
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_inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) 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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) a (Submodule.map.{u1, u1, max u2 u3, u2, max u2 u3} R R (Prod.{u2, u3} E F) E (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (RingHomSurjective.ids.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (LinearMap.{u1, u1, max u2 u3, u2} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Prod.{u2, u3} E F) E (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E 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(AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) g)) -> (ExistsUnique.{succ u3} F (fun (b : F) => Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u2, u3} E F a b) g)))
+but is expected to have type
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u3, u2} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] {g : Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)}, (forall {x : Prod.{u1, u2} E F}, (Membership.mem.{max u1 u2, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.instSetLikeSubmodule.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u1} E (Prod.fst.{u1, u2} E F x) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2)))))))) -> (Eq.{succ u2} F (Prod.snd.{u1, u2} E F x) (OfNat.ofNat.{u2} F 0 (Zero.toOfNat0.{u2} F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))))))) -> (forall {a : E}, (Membership.mem.{u1, u1} E (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) a (Submodule.map.{u3, u3, max u1 u2, u1, max u1 u2} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (LinearMap.{u3, u3, max u2 u1, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) 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+Case conversion may be inaccurate. Consider using '#align submodule.exists_unique_from_graph Submodule.existsUnique_from_graphₓ'. -/
 theorem existsUnique_from_graph {g : Submodule R (E × F)}
     (hg : ∀ {x : E × F} (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0) {a : E}
     (ha : a ∈ g.map (LinearMap.fst R E F)) : ∃! b : F, (a, b) ∈ g :=
@@ -862,6 +1283,12 @@ theorem existsUnique_from_graph {g : Submodule R (E × F)}
   exact sub_eq_zero.mp (hg hy (by simp))
 #align submodule.exists_unique_from_graph Submodule.existsUnique_from_graph
 
+/- warning: submodule.val_from_graph -> Submodule.valFromGraph is a dubious translation:
+lean 3 declaration is
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(AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) g)) -> F)
+but is expected to have type
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(RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (LinearMap.fst.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) g)) -> F)
+Case conversion may be inaccurate. Consider using '#align submodule.val_from_graph Submodule.valFromGraphₓ'. -/
 /-- Auxiliary definition to unfold the existential quantifier. -/
 noncomputable def valFromGraph {g : Submodule R (E × F)}
     (hg : ∀ (x : E × F) (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0) {a : E}
@@ -869,14 +1296,26 @@ noncomputable def valFromGraph {g : Submodule R (E × F)}
   (ExistsUnique.exists (existsUnique_from_graph hg ha)).some
 #align submodule.val_from_graph Submodule.valFromGraph
 
+/- warning: submodule.val_from_graph_mem -> Submodule.valFromGraph_mem is a dubious translation:
+lean 3 declaration is
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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5) g)), Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) 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+but is expected to have type
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(Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u1} E (Prod.fst.{u1, u2} E F x) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2)))))))) -> (Eq.{succ u2} F (Prod.snd.{u1, u2} E F x) (OfNat.ofNat.{u2} F 0 (Zero.toOfNat0.{u2} F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))))))) {a : E} (ha : Membership.mem.{u1, u1} E (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) a (Submodule.map.{u3, u3, max u1 u2, u1, max u1 u2} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (LinearMap.{u3, u3, max u2 u1, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) 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u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.instSetLikeSubmodule.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u1, u2} E F a (Submodule.valFromGraph.{u3, u1, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g hg a ha)) g
+Case conversion may be inaccurate. Consider using '#align submodule.val_from_graph_mem Submodule.valFromGraph_memₓ'. -/
 theorem valFromGraph_mem {g : Submodule R (E × F)}
     (hg : ∀ (x : E × F) (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0) {a : E}
     (ha : a ∈ g.map (LinearMap.fst R E F)) : (a, valFromGraph hg ha) ∈ g :=
   (ExistsUnique.exists (existsUnique_from_graph hg ha)).choose_spec
 #align submodule.val_from_graph_mem Submodule.valFromGraph_mem
 
+/- warning: submodule.to_linear_pmap -> Submodule.toLinearPMap is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align submodule.to_linear_pmap Submodule.toLinearPMapₓ'. -/
 /-- Define a `linear_pmap` from its graph. -/
-noncomputable def toLinearPmap (g : Submodule R (E × F))
+noncomputable def toLinearPMap (g : Submodule R (E × F))
     (hg : ∀ (x : E × F) (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0) : E →ₗ.[R] F
     where
   domain := g.map (LinearMap.fst R E F)
@@ -896,26 +1335,38 @@ noncomputable def toLinearPmap (g : Submodule R (E × F))
         have hav' := g.smul_mem a (val_from_graph_mem hg v.2)
         rw [Prod.smul_mk] at hav'
         exact (exists_unique_from_graph hg hsmul).unique hav hav' }
-#align submodule.to_linear_pmap Submodule.toLinearPmap
+#align submodule.to_linear_pmap Submodule.toLinearPMap
 
-theorem mem_graph_toLinearPmap (g : Submodule R (E × F))
+/- warning: submodule.mem_graph_to_linear_pmap -> Submodule.mem_graph_toLinearPMap is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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(Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.instSetLikeSubmodule.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) (Prod.mk.{u1, u2} E F (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) E (Submodule.instSetLikeSubmodule.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)) x (Submodule.map.{u3, u3, max u1 u2, u1, max u1 u2} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_1)) (LinearMap.{u3, u3, max u2 u1, u1} R R (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1))) (Prod.{u1, u2} E F) E (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3) (LinearMap.instSemilinearMapClassLinearMap.{u3, u3, max u1 u2, u1} R R (Prod.{u1, u2} E F) E (Ring.toSemiring.{u3} R _inst_1) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_1)))) (LinearMap.fst.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5) g)) x) (LinearPMap.toFun'.{u3, u1, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (Submodule.toLinearPMap.{u3, u1, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g hg) x)) g
+Case conversion may be inaccurate. Consider using '#align submodule.mem_graph_to_linear_pmap Submodule.mem_graph_toLinearPMapₓ'. -/
+theorem mem_graph_toLinearPMap (g : Submodule R (E × F))
     (hg : ∀ (x : E × F) (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0)
-    (x : g.map (LinearMap.fst R E F)) : (x.val, g.toLinearPmap hg x) ∈ g :=
+    (x : g.map (LinearMap.fst R E F)) : (x.val, g.toLinearPMap hg x) ∈ g :=
   valFromGraph_mem hg x.2
-#align submodule.mem_graph_to_linear_pmap Submodule.mem_graph_toLinearPmap
+#align submodule.mem_graph_to_linear_pmap Submodule.mem_graph_toLinearPMap
 
+/- warning: submodule.to_linear_pmap_graph_eq -> Submodule.toLinearPMap_graph_eq is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] {E : Type.{u2}} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)] (g : Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (hg : forall (x : Prod.{u2, u3} E F), (Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} E F) (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (SetLike.hasMem.{max u2 u3, max u2 u3} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (Prod.{u2, u3} E F) (Submodule.setLike.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u2} E (Prod.fst.{u2, u3} E F x) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))))))) -> (Eq.{succ u3} F (Prod.snd.{u2, u3} E F x) (OfNat.ofNat.{u3} F 0 (OfNat.mk.{u3} F 0 (Zero.zero.{u3} F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_4)))))))))), Eq.{succ (max u2 u3)} (Submodule.{u1, max u2 u3} R (Prod.{u2, u3} E F) (Ring.toSemiring.{u1} R _inst_1) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} R E F (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_4) _inst_3 _inst_5)) (LinearPMap.graph.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (Submodule.toLinearPMap.{u1, u2, u3} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g hg)) g
+but is expected to have type
+  forall {R : Type.{u3}} [_inst_1 : Ring.{u3} R] {E : Type.{u1}} [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u3, u1} R E (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u2}} [_inst_4 : AddCommGroup.{u2} F] [_inst_5 : Module.{u3, u2} R F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)] (g : Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (hg : forall (x : Prod.{u1, u2} E F), (Membership.mem.{max u1 u2, max u1 u2} (Prod.{u1, u2} E F) (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (Prod.{u1, u2} E F) (Submodule.instSetLikeSubmodule.{u3, max u1 u2} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5))) x g) -> (Eq.{succ u1} E (Prod.fst.{u1, u2} E F x) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2)))))))) -> (Eq.{succ u2} F (Prod.snd.{u1, u2} E F x) (OfNat.ofNat.{u2} F 0 (Zero.toOfNat0.{u2} F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_4))))))))), Eq.{max (succ u1) (succ u2)} (Submodule.{u3, max u2 u1} R (Prod.{u1, u2} E F) (Ring.toSemiring.{u3} R _inst_1) (Prod.instAddCommMonoidSum.{u1, u2} E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4)) (Prod.module.{u3, u1, u2} R E F (Ring.toSemiring.{u3} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_4) _inst_3 _inst_5)) (LinearPMap.graph.{u3, u1, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (Submodule.toLinearPMap.{u3, u1, u2} R _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g hg)) g
+Case conversion may be inaccurate. Consider using '#align submodule.to_linear_pmap_graph_eq Submodule.toLinearPMap_graph_eqₓ'. -/
 @[simp]
-theorem toLinearPmap_graph_eq (g : Submodule R (E × F))
+theorem toLinearPMap_graph_eq (g : Submodule R (E × F))
     (hg : ∀ (x : E × F) (hx : x ∈ g) (hx' : x.fst = 0), x.snd = 0) :
-    (g.toLinearPmap hg).graph = g := by
+    (g.toLinearPMap hg).graph = g := by
   ext
   constructor <;> intro hx
-  · rw [LinearPmap.mem_graph_iff] at hx
+  · rw [LinearPMap.mem_graph_iff] at hx
     rcases hx with ⟨y, hx1, hx2⟩
     convert g.mem_graph_to_linear_pmap hg y
     rw [Subtype.val_eq_coe]
     exact Prod.ext hx1.symm hx2.symm
-  rw [LinearPmap.mem_graph_iff]
+  rw [LinearPMap.mem_graph_iff]
   cases x
   have hx_fst : x_fst ∈ g.map (LinearMap.fst R E F) :=
     by
@@ -923,7 +1374,7 @@ theorem toLinearPmap_graph_eq (g : Submodule R (E × F))
     exact ⟨x_snd, hx⟩
   refine' ⟨⟨x_fst, hx_fst⟩, Subtype.coe_mk x_fst hx_fst, _⟩
   exact (exists_unique_from_graph hg hx_fst).unique (val_from_graph_mem hg hx_fst) hx
-#align submodule.to_linear_pmap_graph_eq Submodule.toLinearPmap_graph_eq
+#align submodule.to_linear_pmap_graph_eq Submodule.toLinearPMap_graph_eq
 
 end SubmoduleToLinearPmap

bump to nightly-2023-02-21-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc

1107b979

Changes in mathlib4

mathlib3

mathlib4

chore: avoid id.def (adaptation for nightly-2024-03-27) (#11829)

Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com>

b8a0f589

Diff

@@ -807,13 +807,13 @@ theorem smul_graph (f : E →ₗ.[R] F) (z : M) :
     rcases h with ⟨y, hy, h⟩
     rw [LinearPMap.smul_apply] at h
     rw [Submodule.mem_map]
-    simp only [mem_graph_iff, LinearMap.prodMap_apply, LinearMap.id_coe, id.def,
+    simp only [mem_graph_iff, LinearMap.prodMap_apply, LinearMap.id_coe, id,
       LinearMap.smul_apply, Prod.mk.inj_iff, Prod.exists, exists_exists_and_eq_and]
     use x_fst, y, hy
   rw [Submodule.mem_map] at h
   rcases h with ⟨x', hx', h⟩
   cases x'
-  simp only [LinearMap.prodMap_apply, LinearMap.id_coe, id.def, LinearMap.smul_apply,
+  simp only [LinearMap.prodMap_apply, LinearMap.id_coe, id, LinearMap.smul_apply,
     Prod.mk.inj_iff] at h
   rw [mem_graph_iff] at hx' ⊢
   rcases hx' with ⟨y, hy, hx'⟩
@@ -832,13 +832,13 @@ theorem neg_graph (f : E →ₗ.[R] F) :
     rcases h with ⟨y, hy, h⟩
     rw [LinearPMap.neg_apply] at h
     rw [Submodule.mem_map]
-    simp only [mem_graph_iff, LinearMap.prodMap_apply, LinearMap.id_coe, id.def,
+    simp only [mem_graph_iff, LinearMap.prodMap_apply, LinearMap.id_coe, id,
       LinearMap.neg_apply, Prod.mk.inj_iff, Prod.exists, exists_exists_and_eq_and]
     use x_fst, y, hy
   rw [Submodule.mem_map] at h
   rcases h with ⟨x', hx', h⟩
   cases x'
-  simp only [LinearMap.prodMap_apply, LinearMap.id_coe, id.def, LinearMap.neg_apply,
+  simp only [LinearMap.prodMap_apply, LinearMap.id_coe, id, LinearMap.neg_apply,
     Prod.mk.inj_iff] at h
   rw [mem_graph_iff] at hx' ⊢
   rcases hx' with ⟨y, hy, hx'⟩

chore: classify porting notes about additional necessary beta reduction (#12130)

This subsumes some of the notes in #10752 and #10971. I'm on the fence as to whether replacing the dsimp only by beta_reduce is useful; this is easy to revert if needed.

7eeaaffb

Diff

@@ -123,17 +123,17 @@ noncomputable def mkSpanSingleton' (x : E) (y : F) (H : ∀ c : R, c • x = 0 
       rw [← sub_eq_zero, ← sub_smul] at h ⊢
       exact H _ h
     { toFun := fun z => Classical.choose (mem_span_singleton.1 z.prop) • y
-      -- Porting note: `dsimp only []` are required.
+      -- Porting note(#12129): additional beta reduction needed
       -- Porting note: Were `Classical.choose_spec (mem_span_singleton.1 _)`.
       map_add' := fun y z => by
-        dsimp only []
+        beta_reduce
         rw [← add_smul]
         apply H
         simp only [add_smul, sub_smul,
           fun w : R ∙ x => Classical.choose_spec (mem_span_singleton.1 w.prop)]
         apply coe_add
       map_smul' := fun c z => by
-        dsimp only []
+        beta_reduce
         rw [smul_smul]
         apply H
         simp only [mul_smul,

chore(*): remove empty lines between variable statements (#11418)

Empty lines were removed by executing the following Python script twice

import os
import re


# Loop through each file in the repository
for dir_path, dirs, files in os.walk('.'):
  for filename in files:
    if filename.endswith('.lean'):
      file_path = os.path.join(dir_path, filename)

      # Open the file and read its contents
      with open(file_path, 'r') as file:
        content = file.read()

      # Use a regular expression to replace sequences of "variable" lines separated by empty lines
      # with sequences without empty lines
      modified_content = re.sub(r'(variable.*\n)\n(variable(?! .* in))', r'\1\2', content)

      # Write the modified content back to the file
      with open(file_path, 'w') as file:
        file.write(modified_content)

75c86f04

Diff

@@ -394,7 +394,6 @@ end Zero
 section SMul
 
 variable {M N : Type*} [Monoid M] [DistribMulAction M F] [SMulCommClass R M F]
-
 variable [Monoid N] [DistribMulAction N F] [SMulCommClass R N F]
 
 instance instSMul : SMul M (E →ₗ.[R] F) :=

refactor: do not allow nsmul and zsmul to default automatically (#6262)

This PR removes the default values for nsmul and zsmul, forcing the user to populate them manually. The previous behavior can be obtained by writing nsmul := nsmulRec and zsmul := zsmulRec, which is now in the docstring for these fields.

The motivation here is to make it more obvious when module diamonds are being introduced, or at least where they might be hiding; you can now simply search for nsmulRec in the source code.

Arguably we should do the same thing for intCast, natCast, pow, and zpow too, but diamonds are less common in those fields, so I'll leave them to a subsequent PR.

Co-authored-by: Matthew Ballard <matt@mrb.email>

e42f78a9

Diff

@@ -487,6 +487,7 @@ instance instAddMonoid : AddMonoid (E →ₗ.[R] F) where
     simp
   add_zero := by
     simp
+  nsmul := nsmulRec
 
 instance instAddCommMonoid : AddCommMonoid (E →ₗ.[R] F) :=
   ⟨fun f g => by
@@ -567,6 +568,7 @@ instance instSubtractionCommMonoid : SubtractionCommMonoid (E →ₗ.[R] F) wher
     simp only [inf_coe, neg_domain, Eq.ndrec, Int.ofNat_eq_coe, add_apply, Subtype.coe_eta,
       ← neg_eq_iff_add_eq_zero] at h'
     rw [h', h]
+  zsmul := zsmulRec
 
 end Sub

chore: Remove ball and bex from lemma names (#10816)

ball for "bounded forall" and bex for "bounded exists" are from experience very confusing abbreviations. This PR renames them to forall_mem and exists_mem in the few Set lemma names that mention them.

Also deprecate ball_image_of_ball, mem_image_elim, mem_image_elim_on since those lemmas are duplicates of the renamed lemmas (apart from argument order and implicitness, which I am also fixing by making the binder in the RHS of forall_mem_image semi-implicit), have obscure names and are completely unused.

c697e040

Diff

@@ -615,7 +615,7 @@ private theorem sSup_aux (c : Set (E →ₗ.[R] F)) (hc : DirectedOn (· ≤ ·)
     apply Classical.indefiniteDescription
     have := (mem_sSup_of_directed (cne.image _) hdir).1 x.2
     -- Porting note: + `← bex_def`
-    rwa [Set.bex_image_iff, ← bex_def, SetCoe.exists'] at this
+    rwa [Set.exists_mem_image, ← bex_def, SetCoe.exists'] at this
   set f : ↥(sSup (domain '' c)) → F := fun x => (P x).val.val ⟨x, (P x).property⟩
   have f_eq : ∀ (p : c) (x : ↥(sSup (domain '' c))) (y : p.1.1) (_hxy : (x : E) = y),
       f x = p.1 y := by

chore: scope open Classical (#11199)

We remove all but one open Classicals, instead preferring to use open scoped Classical. The only real side-effect this led to is moving a couple declarations to use Exists.choose instead of Classical.choose.

The first few commits are explicitly labelled regex replaces for ease of review.

c747be0a

Diff

@@ -1010,7 +1010,7 @@ noncomputable def toLinearPMapAux (g : Submodule R (E × F))
     rw [Prod.smul_mk] at hav'
     exact (existsUnique_from_graph @hg hsmul).unique hav hav'
 
-open Classical in
+open scoped Classical in
 /-- Define a `LinearPMap` from its graph.
 
 In the case that the submodule is not a graph of a `LinearPMap` then the underlying linear map

chore: move Mathlib to v4.7.0-rc1 (#11162)

This is a very large PR, but it has been reviewed piecemeal already in PRs to the bump/v4.7.0 branch as we update to intermediate nightlies.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Kyle Miller <kmill31415@gmail.com> Co-authored-by: damiano <adomani@gmail.com>

fa48894a

Diff

@@ -632,8 +632,8 @@ private theorem sSup_aux (c : Set (E →ₗ.[R] F)) (hc : DirectedOn (· ≤ ·)
     rw [f_eq ⟨p, hpc⟩ x x' rfl, f_eq ⟨p, hpc⟩ y y' rfl, f_eq ⟨p, hpc⟩ (x + y) (x' + y') rfl,
       map_add]
   · intro c x
-    -- Porting note: `simp [..]` to `simp only [..]`, or timeouts.
-    simp only [f_eq (P x).1 (c • x) (c • ⟨x, (P x).2⟩) rfl, ← map_smul, RingHom.id_apply]
+    simp only [RingHom.id_apply]
+    rw [f_eq (P x).1 (c • x) (c • ⟨x, (P x).2⟩) rfl, ← map_smul]
   · intro p hpc
     refine' ⟨le_sSup <| Set.mem_image_of_mem domain hpc, fun x y hxy => Eq.symm _⟩
     exact f_eq ⟨p, hpc⟩ _ _ hxy.symm

chore: prepare Lean version bump with explicit simp (#10999)

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

38bce757

Diff

@@ -304,7 +304,7 @@ private theorem sup_aux (f g : E →ₗ.[R] F)
   have fg_eq : ∀ (x' : f.domain) (y' : g.domain) (z' : ↥(f.domain ⊔ g.domain))
       (_H : (x' : E) + y' = z'), fg z' = f x' + g y' := by
     intro x' y' z' H
-    dsimp
+    dsimp [fg]
     rw [add_comm, ← sub_eq_sub_iff_add_eq_add, eq_comm, ← map_sub, ← map_sub]
     apply h
     simp only [← eq_sub_iff_add_eq] at hxy

doc: @[inherit_doc] on notations (#9942)

Make all the notations that unambiguously should inherit the docstring of their definition actually inherit it.

Also write a few docstrings by hand. I only wrote the ones I was competent to write and which I was sure of. Some docstrings come from mathlib3 as they were lost during the early port.

This PR is only intended as a first pass There are many more docstrings to add.

08f7e99d

Diff

@@ -39,7 +39,7 @@ structure LinearPMap (R : Type u) [Ring R] (E : Type v) [AddCommGroup E] [Module
   toFun : domain →ₗ[R] F
 #align linear_pmap LinearPMap
 
-notation:25 E " →ₗ.[" R:25 "] " F:0 => LinearPMap R E F
+@[inherit_doc] notation:25 E " →ₗ.[" R:25 "] " F:0 => LinearPMap R E F
 
 variable {R : Type*} [Ring R] {E : Type*} [AddCommGroup E] [Module R E] {F : Type*}
   [AddCommGroup F] [Module R F] {G : Type*} [AddCommGroup G] [Module R G]

chore: remove uses of cases' (#9171)

I literally went through and regex'd some uses of cases', replacing them with rcases; this is meant to be a low effort PR as I hope that tools can do this in the future.

rcases is an easier replacement than cases, though with better tools we could in future do a second pass converting simple rcases added here (and existing ones) to cases.

3fca282c

Diff

@@ -605,7 +605,7 @@ end
 
 private theorem sSup_aux (c : Set (E →ₗ.[R] F)) (hc : DirectedOn (· ≤ ·) c) :
     ∃ f : ↥(sSup (domain '' c)) →ₗ[R] F, (⟨_, f⟩ : E →ₗ.[R] F) ∈ upperBounds c := by
-  cases' c.eq_empty_or_nonempty with ceq cne
+  rcases c.eq_empty_or_nonempty with ceq | cne
   · subst c
     simp
   have hdir : DirectedOn (· ≤ ·) (domain '' c) :=

chore: replace exact_mod_cast tactic with mod_cast elaborator where possible (#8404)

We still have the exact_mod_cast tactic, used in a few places, which somehow (?) works a little bit harder to prevent the expected type influencing the elaboration of the term. I would like to get to the bottom of this, and it will be easier once the only usages of exact_mod_cast are the ones that don't work using the term elaborator by itself.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

693fd795

Diff

@@ -83,7 +83,7 @@ theorem ext_iff {f g : E →ₗ.[R] F} :
     EQ ▸
       ⟨rfl, fun x y h => by
         congr
-        exact_mod_cast h⟩,
+        exact mod_cast h⟩,
     fun ⟨deq, feq⟩ => ext deq feq⟩
 #align linear_pmap.ext_iff LinearPMap.ext_iff

refactor: rename Submodule.ofLe to Submodule.inclusion (#8470)

This matches Set.inclusion, Subring.inclusion, Subalgebra.inclusion, etc.

Also renames the homOfLe spellings in Algebra/Lie to match.

Note that we leave LieSubalgebra.ofLe, as this is a completely different statement!

As requested by @alreadydone.

b1febe50

Diff

@@ -30,8 +30,6 @@ They are also the basis for the theory of unbounded operators.
 
 -/
 
-open Set
-
 universe u v w
 
 /-- A `LinearPMap R E F` or `E →ₗ.[R] F` is a linear map from a submodule of `E` to `F`. -/
@@ -211,10 +209,10 @@ instance le : LE (E →ₗ.[R] F) :=
   ⟨fun f g => f.domain ≤ g.domain ∧ ∀ ⦃x : f.domain⦄ ⦃y : g.domain⦄ (_h : (x : E) = y), f x = g y⟩
 #align linear_pmap.has_le LinearPMap.le
 
-theorem apply_comp_ofLe {T S : E →ₗ.[R] F} (h : T ≤ S) (x : T.domain) :
-    T x = S (Submodule.ofLe h.1 x) :=
+theorem apply_comp_inclusion {T S : E →ₗ.[R] F} (h : T ≤ S) (x : T.domain) :
+    T x = S (Submodule.inclusion h.1 x) :=
   h.2 rfl
-#align linear_pmap.apply_comp_of_le LinearPMap.apply_comp_ofLe
+#align linear_pmap.apply_comp_of_le LinearPMap.apply_comp_inclusion
 
 theorem exists_of_le {T S : E →ₗ.[R] F} (h : T ≤ S) (x : T.domain) :
     ∃ y : S.domain, (x : E) = y ∧ T x = S y :=
@@ -243,7 +241,7 @@ def eqLocus (f g : E →ₗ.[R] F) : Submodule R E where
 #align linear_pmap.eq_locus LinearPMap.eqLocus
 
 instance inf : Inf (E →ₗ.[R] F) :=
-  ⟨fun f g => ⟨f.eqLocus g, f.toFun.comp <| ofLe fun _x hx => hx.fst⟩⟩
+  ⟨fun f g => ⟨f.eqLocus g, f.toFun.comp <| inclusion fun _x hx => hx.fst⟩⟩
 #align linear_pmap.has_inf LinearPMap.inf
 
 instance bot : Bot (E →ₗ.[R] F) :=
@@ -259,7 +257,7 @@ instance semilatticeInf : SemilatticeInf (E →ₗ.[R] F) where
   le_refl f := ⟨le_refl f.domain, fun x y h => Subtype.eq h ▸ rfl⟩
   le_trans := fun f g h ⟨fg_le, fg_eq⟩ ⟨gh_le, gh_eq⟩ =>
     ⟨le_trans fg_le gh_le, fun x z hxz =>
-      have hxy : (x : E) = ofLe fg_le x := rfl
+      have hxy : (x : E) = inclusion fg_le x := rfl
       (fg_eq hxy).trans (gh_eq <| hxy.symm.trans hxz)⟩
   le_antisymm f g fg gf := eq_of_le_of_domain_eq fg (le_antisymm fg.1 gf.1)
   inf := (· ⊓ ·)
@@ -460,8 +458,8 @@ section Add
 instance instAdd : Add (E →ₗ.[R] F) :=
   ⟨fun f g =>
     { domain := f.domain ⊓ g.domain
-      toFun := f.toFun.comp (ofLe (inf_le_left : f.domain ⊓ g.domain ≤ _))
-        + g.toFun.comp (ofLe (inf_le_right : f.domain ⊓ g.domain ≤ _)) }⟩
+      toFun := f.toFun.comp (inclusion (inf_le_left : f.domain ⊓ g.domain ≤ _))
+        + g.toFun.comp (inclusion (inf_le_right : f.domain ⊓ g.domain ≤ _)) }⟩
 
 theorem add_domain (f g : E →ₗ.[R] F) : (f + g).domain = f.domain ⊓ g.domain := rfl
 
@@ -535,8 +533,8 @@ section Sub
 instance instSub : Sub (E →ₗ.[R] F) :=
   ⟨fun f g =>
     { domain := f.domain ⊓ g.domain
-      toFun := f.toFun.comp (ofLe (inf_le_left : f.domain ⊓ g.domain ≤ _))
-        - g.toFun.comp (ofLe (inf_le_right : f.domain ⊓ g.domain ≤ _)) }⟩
+      toFun := f.toFun.comp (inclusion (inf_le_left : f.domain ⊓ g.domain ≤ _))
+        - g.toFun.comp (inclusion (inf_le_right : f.domain ⊓ g.domain ≤ _)) }⟩
 
 theorem sub_domain (f g : E →ₗ.[R] F) : (f - g).domain = f.domain ⊓ g.domain := rfl
 
@@ -617,27 +615,27 @@ private theorem sSup_aux (c : Set (E →ₗ.[R] F)) (hc : DirectedOn (· ≤ ·)
     apply Classical.indefiniteDescription
     have := (mem_sSup_of_directed (cne.image _) hdir).1 x.2
     -- Porting note: + `← bex_def`
-    rwa [bex_image_iff, ← bex_def, SetCoe.exists'] at this
+    rwa [Set.bex_image_iff, ← bex_def, SetCoe.exists'] at this
   set f : ↥(sSup (domain '' c)) → F := fun x => (P x).val.val ⟨x, (P x).property⟩
   have f_eq : ∀ (p : c) (x : ↥(sSup (domain '' c))) (y : p.1.1) (_hxy : (x : E) = y),
       f x = p.1 y := by
     intro p x y hxy
     rcases hc (P x).1.1 (P x).1.2 p.1 p.2 with ⟨q, _hqc, hxq, hpq⟩
-    -- Porting note: `refine' ..; exacts [ofLe hpq.1 y, hxy, rfl]`
-    --               → `refine' .. <;> [skip; exact ofLe hpq.1 y; rfl]; exact hxy`
-    refine' (hxq.2 _).trans (hpq.2 _).symm <;> [skip; exact ofLe hpq.1 y; rfl]; exact hxy
+    -- Porting note: `refine' ..; exacts [inclusion hpq.1 y, hxy, rfl]`
+    --               → `refine' .. <;> [skip; exact inclusion hpq.1 y; rfl]; exact hxy`
+    refine' (hxq.2 _).trans (hpq.2 _).symm <;> [skip; exact inclusion hpq.1 y; rfl]; exact hxy
   refine' ⟨{ toFun := f.. }, _⟩
   · intro x y
     rcases hc (P x).1.1 (P x).1.2 (P y).1.1 (P y).1.2 with ⟨p, hpc, hpx, hpy⟩
-    set x' := ofLe hpx.1 ⟨x, (P x).2⟩
-    set y' := ofLe hpy.1 ⟨y, (P y).2⟩
+    set x' := inclusion hpx.1 ⟨x, (P x).2⟩
+    set y' := inclusion hpy.1 ⟨y, (P y).2⟩
     rw [f_eq ⟨p, hpc⟩ x x' rfl, f_eq ⟨p, hpc⟩ y y' rfl, f_eq ⟨p, hpc⟩ (x + y) (x' + y') rfl,
       map_add]
   · intro c x
     -- Porting note: `simp [..]` to `simp only [..]`, or timeouts.
     simp only [f_eq (P x).1 (c • x) (c • ⟨x, (P x).2⟩) rfl, ← map_smul, RingHom.id_apply]
   · intro p hpc
-    refine' ⟨le_sSup <| mem_image_of_mem domain hpc, fun x y hxy => Eq.symm _⟩
+    refine' ⟨le_sSup <| Set.mem_image_of_mem domain hpc, fun x y hxy => Eq.symm _⟩
     exact f_eq ⟨p, hpc⟩ _ _ hxy.symm
 
 protected noncomputable def sSup (c : Set (E →ₗ.[R] F)) (hc : DirectedOn (· ≤ ·) c) : E →ₗ.[R] F :=
@@ -735,7 +733,7 @@ theorem coprod_apply (f : E →ₗ.[R] G) (g : F →ₗ.[R] G) (x) :
 
 /-- Restrict a partially defined linear map to a submodule of `E` contained in `f.domain`. -/
 def domRestrict (f : E →ₗ.[R] F) (S : Submodule R E) : E →ₗ.[R] F :=
-  ⟨S ⊓ f.domain, f.toFun.comp (Submodule.ofLe (by simp))⟩
+  ⟨S ⊓ f.domain, f.toFun.comp (Submodule.inclusion (by simp))⟩
 #align linear_pmap.dom_restrict LinearPMap.domRestrict
 
 @[simp]
@@ -746,7 +744,7 @@ theorem domRestrict_domain (f : E →ₗ.[R] F) {S : Submodule R E} :
 
 theorem domRestrict_apply {f : E →ₗ.[R] F} {S : Submodule R E} ⦃x : ↥(S ⊓ f.domain)⦄ ⦃y : f.domain⦄
     (h : (x : E) = y) : f.domRestrict S x = f y := by
-  have : Submodule.ofLe (by simp) x = y := by
+  have : Submodule.inclusion (by simp) x = y := by
     ext
     simp [h]
   rw [← this]

chore: bump to v4.3.0-rc2 (#8366)

PR contents

This is the supremum of

#8284
#8056
#8023
#8332
#8226 (already approved)
#7834 (already approved)

along with some minor fixes from failures on nightly-testing as Mathlib master is merged into it.

Note that some PRs for changes that are already compatible with the current toolchain and will be necessary have already been split out: #8380.

I am hopeful that in future we will be able to progressively merge adaptation PRs into a bump/v4.X.0 branch, so we never end up with a "big merge" like this. However one of these adaptation PRs (#8056) predates my new scheme for combined CI, and it wasn't possible to keep that PR viable in the meantime.

Lean PRs involved in this bump

In particular this includes adjustments for the Lean PRs

leanprover/lean4#2778

We can get rid of all the

local macro_rules | `($x ^ $y) => `(HPow.hPow $x $y) -- Porting note: See issue [lean4#2220](https://github.com/leanprover/lean4/pull/2220)

macros across Mathlib (and in any projects that want to write natural number powers of reals).

leanprover/lean4#2722

Changes the default behaviour of simp to (config := {decide := false}). This makes simp (and consequentially norm_num) less powerful, but also more consistent, and less likely to blow up in long failures. This requires a variety of changes: changing some previously by simp or norm_num to decide or rfl, or adding (config := {decide := true}).

leanprover/lean4#2783

This changed the behaviour of simp so that simp [f] will only unfold "fully applied" occurrences of f. The old behaviour can be recovered with simp (config := { unfoldPartialApp := true }). We may in future add a syntax for this, e.g. simp [!f]; please provide feedback! In the meantime, we have made the following changes:

switching to using explicit lemmas that have the intended level of application
(config := { unfoldPartialApp := true }) in some places, to recover the old behaviour
Using @[eqns] to manually adjust the equation lemmas for a particular definition, recovering the old behaviour just for that definition. See #8371, where we do this for Function.comp and Function.flip.

This change in Lean may require further changes down the line (e.g. adding the !f syntax, and/or upstreaming the special treatment for Function.comp and Function.flip, and/or removing this special treatment). Please keep an open and skeptical mind about these changes!

Co-authored-by: leanprover-community-mathlib4-bot <leanprover-community-mathlib4-bot@users.noreply.github.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Mauricio Collares <mauricio@collares.org>

40b64f79

Diff

@@ -791,7 +791,7 @@ theorem graph_map_fst_eq_domain (f : E →ₗ.[R] F) :
   · rcases h with ⟨x, hx, _⟩
     exact hx
   · use f ⟨x, h⟩
-    simp only [h, exists_prop]
+    simp only [h, exists_const]
 
 theorem graph_map_snd_eq_range (f : E →ₗ.[R] F) :
     f.graph.map (LinearMap.snd R E F) = LinearMap.range f.toFun := by ext; simp

chore: redistribute some of the results in LinearAlgebra.Basic (#7801)

This reduces the file from ~2600 lines to ~1600 lines.

Co-authored-by: Vierkantor <vierkantor@vierkantor.com> Co-authored-by: Floris van Doorn <fpvdoorn@gmail.com>

eb292821

Diff

@@ -3,7 +3,6 @@ Copyright (c) 2020 Yury Kudryashov All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov, Moritz Doll
 -/
-import Mathlib.LinearAlgebra.Basic
 import Mathlib.LinearAlgebra.Prod
 
 #align_import linear_algebra.linear_pmap from "leanprover-community/mathlib"@"8b981918a93bc45a8600de608cde7944a80d92b9"

feat: add more algebraic instances for LinearPMap (#6538)

We add some properties of subtraction and cleanup the naming of the old instances.

6961667d

Diff

@@ -382,7 +382,7 @@ theorem sup_h_of_disjoint (f g : E →ₗ.[R] F) (h : Disjoint f.domain g.domain
 /-! ### Algebraic operations -/
 
 
-section zero
+section Zero
 
 instance instZero : Zero (E →ₗ.[R] F) := ⟨⊤, 0⟩
 
@@ -392,19 +392,19 @@ theorem zero_domain : (0 : E →ₗ.[R] F).domain = ⊤ := rfl
 @[simp]
 theorem zero_apply (x : (⊤ : Submodule R E)) : (0 : E →ₗ.[R] F) x = 0 := rfl
 
-end zero
+end Zero
 
-section Smul
+section SMul
 
 variable {M N : Type*} [Monoid M] [DistribMulAction M F] [SMulCommClass R M F]
 
 variable [Monoid N] [DistribMulAction N F] [SMulCommClass R N F]
 
-instance smul : SMul M (E →ₗ.[R] F) :=
+instance instSMul : SMul M (E →ₗ.[R] F) :=
   ⟨fun a f =>
     { domain := f.domain
       toFun := a • f.toFun }⟩
-#align linear_pmap.has_smul LinearPMap.smul
+#align linear_pmap.has_smul LinearPMap.instSMul
 
 @[simp]
 theorem smul_domain (a : M) (f : E →ₗ.[R] F) : (a • f).domain = f.domain :=
@@ -420,25 +420,25 @@ theorem coe_smul (a : M) (f : E →ₗ.[R] F) : ⇑(a • f) = a • ⇑f :=
   rfl
 #align linear_pmap.coe_smul LinearPMap.coe_smul
 
-instance smulCommClass [SMulCommClass M N F] : SMulCommClass M N (E →ₗ.[R] F) :=
+instance instSMulCommClass [SMulCommClass M N F] : SMulCommClass M N (E →ₗ.[R] F) :=
   ⟨fun a b f => ext' <| smul_comm a b f.toFun⟩
-#align linear_pmap.smul_comm_class LinearPMap.smulCommClass
+#align linear_pmap.smul_comm_class LinearPMap.instSMulCommClass
 
-instance isScalarTower [SMul M N] [IsScalarTower M N F] : IsScalarTower M N (E →ₗ.[R] F) :=
+instance instIsScalarTower [SMul M N] [IsScalarTower M N F] : IsScalarTower M N (E →ₗ.[R] F) :=
   ⟨fun a b f => ext' <| smul_assoc a b f.toFun⟩
-#align linear_pmap.is_scalar_tower LinearPMap.isScalarTower
+#align linear_pmap.is_scalar_tower LinearPMap.instIsScalarTower
 
-instance mulAction : MulAction M (E →ₗ.[R] F) where
+instance instMulAction : MulAction M (E →ₗ.[R] F) where
   smul := (· • ·)
   one_smul := fun ⟨_s, f⟩ => ext' <| one_smul M f
   mul_smul a b f := ext' <| mul_smul a b f.toFun
-#align linear_pmap.mul_action LinearPMap.mulAction
+#align linear_pmap.mul_action LinearPMap.instMulAction
 
-end Smul
+end SMul
 
-instance neg : Neg (E →ₗ.[R] F) :=
+instance instNeg : Neg (E →ₗ.[R] F) :=
   ⟨fun f => ⟨f.domain, -f.toFun⟩⟩
-#align linear_pmap.has_neg LinearPMap.neg
+#align linear_pmap.has_neg LinearPMap.instNeg
 
 @[simp]
 theorem neg_domain (f : E →ₗ.[R] F) : (-f).domain = f.domain := rfl
@@ -458,7 +458,7 @@ instance instInvolutiveNeg : InvolutiveNeg (E →ₗ.[R] F) :=
 
 section Add
 
-instance add : Add (E →ₗ.[R] F) :=
+instance instAdd : Add (E →ₗ.[R] F) :=
   ⟨fun f g =>
     { domain := f.domain ⊓ g.domain
       toFun := f.toFun.comp (ofLe (inf_le_left : f.domain ⊓ g.domain ≤ _))
@@ -475,12 +475,6 @@ instance instAddSemigroup : AddSemigroup (E →ₗ.[R] F) :=
     · simp only [add_domain, inf_assoc]
     · simp only [add_apply, hxy, add_assoc]⟩
 
-instance instAddCommSemigroup : AddCommSemigroup (E →ₗ.[R] F) :=
-  ⟨fun f g => by
-    ext x y hxy
-    · simp only [add_domain, inf_comm]
-    · simp only [add_apply, hxy, add_comm]⟩
-
 instance instAddZeroClass : AddZeroClass (E →ₗ.[R] F) :=
   ⟨fun f => by
     ext x y hxy
@@ -491,15 +485,27 @@ instance instAddZeroClass : AddZeroClass (E →ₗ.[R] F) :=
     · simp [add_domain]
     · simp only [add_apply, hxy, zero_apply, add_zero]⟩
 
+instance instAddMonoid : AddMonoid (E →ₗ.[R] F) where
+  zero_add f := by
+    simp
+  add_zero := by
+    simp
+
+instance instAddCommMonoid : AddCommMonoid (E →ₗ.[R] F) :=
+  ⟨fun f g => by
+    ext x y hxy
+    · simp only [add_domain, inf_comm]
+    · simp only [add_apply, hxy, add_comm]⟩
+
 end Add
 
-section Vadd
+section VAdd
 
-instance vadd : VAdd (E →ₗ[R] F) (E →ₗ.[R] F) :=
+instance instVAdd : VAdd (E →ₗ[R] F) (E →ₗ.[R] F) :=
   ⟨fun f g =>
     { domain := g.domain
       toFun := f.comp g.domain.subtype + g.toFun }⟩
-#align linear_pmap.has_vadd LinearPMap.vadd
+#align linear_pmap.has_vadd LinearPMap.instVAdd
 
 @[simp]
 theorem vadd_domain (f : E →ₗ[R] F) (g : E →ₗ.[R] F) : (f +ᵥ g).domain = g.domain :=
@@ -516,14 +522,56 @@ theorem coe_vadd (f : E →ₗ[R] F) (g : E →ₗ.[R] F) : ⇑(f +ᵥ g) = ⇑(
   rfl
 #align linear_pmap.coe_vadd LinearPMap.coe_vadd
 
-instance addAction : AddAction (E →ₗ[R] F) (E →ₗ.[R] F)
+instance instAddAction : AddAction (E →ₗ[R] F) (E →ₗ.[R] F)
     where
   vadd := (· +ᵥ ·)
   zero_vadd := fun ⟨_s, _f⟩ => ext' <| zero_add _
   add_vadd := fun _f₁ _f₂ ⟨_s, _g⟩ => ext' <| LinearMap.ext fun _x => add_assoc _ _ _
-#align linear_pmap.add_action LinearPMap.addAction
+#align linear_pmap.add_action LinearPMap.instAddAction
+
+end VAdd
 
-end Vadd
+section Sub
+
+instance instSub : Sub (E →ₗ.[R] F) :=
+  ⟨fun f g =>
+    { domain := f.domain ⊓ g.domain
+      toFun := f.toFun.comp (ofLe (inf_le_left : f.domain ⊓ g.domain ≤ _))
+        - g.toFun.comp (ofLe (inf_le_right : f.domain ⊓ g.domain ≤ _)) }⟩
+
+theorem sub_domain (f g : E →ₗ.[R] F) : (f - g).domain = f.domain ⊓ g.domain := rfl
+
+theorem sub_apply (f g : E →ₗ.[R] F) (x : (f.domain ⊓ g.domain : Submodule R E)) :
+    (f - g) x = f ⟨x, x.prop.1⟩ - g ⟨x, x.prop.2⟩ := rfl
+
+instance instSubtractionCommMonoid : SubtractionCommMonoid (E →ₗ.[R] F) where
+  add_comm := add_comm
+  sub_eq_add_neg f g := by
+    ext x y h
+    · rfl
+    simp [sub_apply, add_apply, neg_apply, ← sub_eq_add_neg, h]
+  neg_neg := neg_neg
+  neg_add_rev f g := by
+    ext x y h
+    · simp [add_domain, sub_domain, neg_domain, And.comm]
+    simp [sub_apply, add_apply, neg_apply, ← sub_eq_add_neg, h]
+  neg_eq_of_add f g h' := by
+    ext x y h
+    · have : (0 : E →ₗ.[R] F).domain = ⊤ := zero_domain
+      simp only [← h', add_domain, ge_iff_le, inf_eq_top_iff] at this
+      rw [neg_domain, this.1, this.2]
+    simp only [inf_coe, neg_domain, Eq.ndrec, Int.ofNat_eq_coe, neg_apply]
+    rw [ext_iff] at h'
+    rcases h' with ⟨hdom, h'⟩
+    rw [zero_domain] at hdom
+    simp only [inf_coe, neg_domain, Eq.ndrec, Int.ofNat_eq_coe, zero_domain, top_coe, zero_apply,
+      Subtype.forall, mem_top, forall_true_left, forall_eq'] at h'
+    specialize h' x.1 (by simp [hdom])
+    simp only [inf_coe, neg_domain, Eq.ndrec, Int.ofNat_eq_coe, add_apply, Subtype.coe_eta,
+      ← neg_eq_iff_add_eq_zero] at h'
+    rw [h', h]
+
+end Sub
 
 section

chore: banish Type _ and Sort _ (#6499)

We remove all possible occurences of Type _ and Sort _ in favor of Type* and Sort*.

This has nice performance benefits.

32de3f67

Diff

@@ -44,8 +44,8 @@ structure LinearPMap (R : Type u) [Ring R] (E : Type v) [AddCommGroup E] [Module
 
 notation:25 E " →ₗ.[" R:25 "] " F:0 => LinearPMap R E F
 
-variable {R : Type _} [Ring R] {E : Type _} [AddCommGroup E] [Module R E] {F : Type _}
-  [AddCommGroup F] [Module R F] {G : Type _} [AddCommGroup G] [Module R G]
+variable {R : Type*} [Ring R] {E : Type*} [AddCommGroup E] [Module R E] {F : Type*}
+  [AddCommGroup F] [Module R F] {G : Type*} [AddCommGroup G] [Module R G]
 
 namespace LinearPMap
 
@@ -171,13 +171,13 @@ theorem mkSpanSingleton'_apply_self (x : E) (y : F) (H : ∀ c : R, c • x = 0
 /-- The unique `LinearPMap` on `span R {x}` that sends a non-zero vector `x` to `y`.
 This version works for modules over division rings. -/
 @[reducible]
-noncomputable def mkSpanSingleton {K E F : Type _} [DivisionRing K] [AddCommGroup E] [Module K E]
+noncomputable def mkSpanSingleton {K E F : Type*} [DivisionRing K] [AddCommGroup E] [Module K E]
     [AddCommGroup F] [Module K F] (x : E) (y : F) (hx : x ≠ 0) : E →ₗ.[K] F :=
   mkSpanSingleton' x y fun c hc =>
     (smul_eq_zero.1 hc).elim (fun hc => by rw [hc, zero_smul]) fun hx' => absurd hx' hx
 #align linear_pmap.mk_span_singleton LinearPMap.mkSpanSingleton
 
-theorem mkSpanSingleton_apply (K : Type _) {E F : Type _} [DivisionRing K] [AddCommGroup E]
+theorem mkSpanSingleton_apply (K : Type*) {E F : Type*} [DivisionRing K] [AddCommGroup E]
     [Module K E] [AddCommGroup F] [Module K F] {x : E} (hx : x ≠ 0) (y : F) :
     mkSpanSingleton x y hx ⟨x, (Submodule.mem_span_singleton_self x : x ∈ Submodule.span K {x})⟩ =
       y :=
@@ -396,7 +396,7 @@ end zero
 
 section Smul
 
-variable {M N : Type _} [Monoid M] [DistribMulAction M F] [SMulCommClass R M F]
+variable {M N : Type*} [Monoid M] [DistribMulAction M F] [SMulCommClass R M F]
 
 variable [Monoid N] [DistribMulAction N F] [SMulCommClass R N F]
 
@@ -527,7 +527,7 @@ end Vadd
 
 section
 
-variable {K : Type _} [DivisionRing K] [Module K E] [Module K F]
+variable {K : Type*} [DivisionRing K] [Module K E] [Module K F]
 
 /-- Extend a `LinearPMap` to `f.domain ⊔ K ∙ x`. -/
 noncomputable def supSpanSingleton (f : E →ₗ.[K] F) (x : E) (y : F) (hx : x ∉ f.domain) :
@@ -749,7 +749,7 @@ theorem graph_map_fst_eq_domain (f : E →ₗ.[R] F) :
 theorem graph_map_snd_eq_range (f : E →ₗ.[R] F) :
     f.graph.map (LinearMap.snd R E F) = LinearMap.range f.toFun := by ext; simp
 
-variable {M : Type _} [Monoid M] [DistribMulAction M F] [SMulCommClass R M F] (y : M)
+variable {M : Type*} [Monoid M] [DistribMulAction M F] [SMulCommClass R M F] (y : M)
 
 /-- The graph of `z • f` as a pushforward. -/
 theorem smul_graph (f : E →ₗ.[R] F) (z : M) :

refactor: use junk values in Submodule.toLinearPMap (#5529)

Change the definition of Submodule.toLinearPMap to use a junk value in the case that the condition that the subspace defines the graph of a function is not satisfied. In this case we define Submodule.toLinearPMap as the zero map. The domain is the same so that the domain does not depend on the graph-condition.

Co-authored-by: Oliver Nash <github@olivernash.org>

daafa2f6

Diff

@@ -945,41 +945,62 @@ theorem valFromGraph_mem {g : Submodule R (E × F)}
   (ExistsUnique.exists (existsUnique_from_graph @hg ha)).choose_spec
 #align submodule.val_from_graph_mem Submodule.valFromGraph_mem
 
-/-- Define a `LinearPMap` from its graph. -/
-noncomputable def toLinearPMap (g : Submodule R (E × F))
-    (hg : ∀ (x : E × F) (_hx : x ∈ g) (_hx' : x.fst = 0), x.snd = 0) : E →ₗ.[R] F
+/-- Define a `LinearMap` from its graph.
+
+Helper definition for `LinearPMap`. -/
+noncomputable def toLinearPMapAux (g : Submodule R (E × F))
+    (hg : ∀ (x : E × F) (_hx : x ∈ g) (_hx' : x.fst = 0), x.snd = 0) :
+    g.map (LinearMap.fst R E F) →ₗ[R] F where
+  toFun := fun x => valFromGraph hg x.2
+  map_add' := fun v w => by
+    have hadd := (g.map (LinearMap.fst R E F)).add_mem v.2 w.2
+    have hvw := valFromGraph_mem hg hadd
+    have hvw' := g.add_mem (valFromGraph_mem hg v.2) (valFromGraph_mem hg w.2)
+    rw [Prod.mk_add_mk] at hvw'
+    exact (existsUnique_from_graph @hg hadd).unique hvw hvw'
+  map_smul' := fun a v => by
+    have hsmul := (g.map (LinearMap.fst R E F)).smul_mem a v.2
+    have hav := valFromGraph_mem hg hsmul
+    have hav' := g.smul_mem a (valFromGraph_mem hg v.2)
+    rw [Prod.smul_mk] at hav'
+    exact (existsUnique_from_graph @hg hsmul).unique hav hav'
+
+open Classical in
+/-- Define a `LinearPMap` from its graph.
+
+In the case that the submodule is not a graph of a `LinearPMap` then the underlying linear map
+is just the zero map. -/
+noncomputable def toLinearPMap (g : Submodule R (E × F)) : E →ₗ.[R] F
     where
   domain := g.map (LinearMap.fst R E F)
-  toFun :=
-    { toFun := fun x => valFromGraph hg x.2
-      map_add' := fun v w => by
-        have hadd := (g.map (LinearMap.fst R E F)).add_mem v.2 w.2
-        have hvw := valFromGraph_mem hg hadd
-        have hvw' := g.add_mem (valFromGraph_mem hg v.2) (valFromGraph_mem hg w.2)
-        rw [Prod.mk_add_mk] at hvw'
-        exact (existsUnique_from_graph @hg hadd).unique hvw hvw'
-      map_smul' := fun a v => by
-        have hsmul := (g.map (LinearMap.fst R E F)).smul_mem a v.2
-        have hav := valFromGraph_mem hg hsmul
-        have hav' := g.smul_mem a (valFromGraph_mem hg v.2)
-        rw [Prod.smul_mk] at hav'
-        exact (existsUnique_from_graph @hg hsmul).unique hav hav' }
+  toFun := if hg : ∀ (x : E × F) (_hx : x ∈ g) (_hx' : x.fst = 0), x.snd = 0 then
+    g.toLinearPMapAux hg else 0
 #align submodule.to_linear_pmap Submodule.toLinearPMap
 
-theorem toLinearPMap_domain (g : Submodule R (E × F))
-    (hg : ∀ (x : E × F) (_hx : x ∈ g) (_hx' : x.fst = 0), x.snd = 0) :
-    (g.toLinearPMap hg).domain = g.map (LinearMap.fst R E F) := rfl
+theorem toLinearPMap_domain (g : Submodule R (E × F)) :
+    g.toLinearPMap.domain = g.map (LinearMap.fst R E F) := rfl
+
+theorem toLinearPMap_apply_aux {g : Submodule R (E × F)}
+    (hg : ∀ (x : E × F) (_hx : x ∈ g) (_hx' : x.fst = 0), x.snd = 0)
+    (x : g.map (LinearMap.fst R E F)) :
+    g.toLinearPMap x = valFromGraph hg x.2 := by
+  classical
+  change (if hg : _ then g.toLinearPMapAux hg else 0) x = _
+  rw [dif_pos]
+  · rfl
+  · exact hg
 
-theorem mem_graph_toLinearPMap (g : Submodule R (E × F))
+theorem mem_graph_toLinearPMap {g : Submodule R (E × F)}
     (hg : ∀ (x : E × F) (_hx : x ∈ g) (_hx' : x.fst = 0), x.snd = 0)
-    (x : g.map (LinearMap.fst R E F)) : (x.val, g.toLinearPMap hg x) ∈ g :=
-  valFromGraph_mem hg x.2
+    (x : g.map (LinearMap.fst R E F)) : (x.val, g.toLinearPMap x) ∈ g := by
+  rw [toLinearPMap_apply_aux hg]
+  exact valFromGraph_mem hg x.2
 #align submodule.mem_graph_to_linear_pmap Submodule.mem_graph_toLinearPMap
 
 @[simp]
 theorem toLinearPMap_graph_eq (g : Submodule R (E × F))
     (hg : ∀ (x : E × F) (_hx : x ∈ g) (_hx' : x.fst = 0), x.snd = 0) :
-    (g.toLinearPMap hg).graph = g := by
+    g.toLinearPMap.graph = g := by
   ext x
   constructor <;> intro hx
   · rw [LinearPMap.mem_graph_iff] at hx
@@ -992,13 +1013,14 @@ theorem toLinearPMap_graph_eq (g : Submodule R (E × F))
     simp only [mem_map, LinearMap.fst_apply, Prod.exists, exists_and_right, exists_eq_right]
     exact ⟨x_snd, hx⟩
   refine' ⟨⟨x_fst, hx_fst⟩, Subtype.coe_mk x_fst hx_fst, _⟩
+  rw [toLinearPMap_apply_aux hg]
   exact (existsUnique_from_graph @hg hx_fst).unique (valFromGraph_mem hg hx_fst) hx
 #align submodule.to_linear_pmap_graph_eq Submodule.toLinearPMap_graph_eq
 
 theorem toLinearPMap_range (g : Submodule R (E × F))
     (hg : ∀ (x : E × F) (_hx : x ∈ g) (_hx' : x.fst = 0), x.snd = 0) :
-    LinearMap.range (g.toLinearPMap hg).toFun = g.map (LinearMap.snd R E F) := by
-  rw [← LinearPMap.graph_map_snd_eq_range, toLinearPMap_graph_eq]
+    LinearMap.range g.toLinearPMap.toFun = g.map (LinearMap.snd R E F) := by
+  rwa [← LinearPMap.graph_map_snd_eq_range, toLinearPMap_graph_eq]
 
 end SubmoduleToLinearPMap
 
@@ -1008,42 +1030,48 @@ namespace LinearPMap
 
 section inverse
 
-variable {f : E →ₗ.[R] F} (hf : LinearMap.ker f.toFun = ⊥)
-
 /-- The inverse of a `LinearPMap`. -/
-noncomputable def inverse : F →ₗ.[R] E :=
+noncomputable def inverse (f : E →ₗ.[R] F) : F →ₗ.[R] E :=
   (f.graph.map (LinearEquiv.prodComm R E F)).toLinearPMap
-  (fun v hv hv' => by
-    simp only [Submodule.mem_map, mem_graph_iff, Subtype.exists, exists_and_left, exists_eq_left,
-      LinearEquiv.prodComm_apply, Prod.exists, Prod.swap_prod_mk] at hv
-    rcases hv with ⟨a, b, ⟨ha, h1⟩, ⟨h2, h3⟩⟩
-    simp only at hv' ⊢
-    rw [hv'] at h1
-    rw [LinearMap.ker_eq_bot'] at hf
-    specialize hf ⟨a, ha⟩ h1
-    simp only [Submodule.mk_eq_zero] at hf
-    exact hf )
-
-theorem inverse_graph : (inverse hf).graph = f.graph.map (LinearEquiv.prodComm R E F) := by
-  rw [inverse, Submodule.toLinearPMap_graph_eq]
-
-theorem inverse_domain : (inverse hf).domain = LinearMap.range f.toFun := by
+
+variable {f : E →ₗ.[R] F}
+
+theorem inverse_domain : (inverse f).domain = LinearMap.range f.toFun := by
   rw [inverse, Submodule.toLinearPMap_domain, ← graph_map_snd_eq_range,
     ← LinearEquiv.fst_comp_prodComm, Submodule.map_comp]
   rfl
 
-theorem inverse_range : LinearMap.range (inverse hf).toFun = f.domain := by
-  rw [inverse, Submodule.toLinearPMap_range, ← graph_map_fst_eq_domain,
-    ← LinearEquiv.snd_comp_prodComm, Submodule.map_comp]
+variable (hf : LinearMap.ker f.toFun = ⊥)
+
+/-- The graph of the inverse generates a `LinearPMap`. -/
+theorem mem_inverse_graph_snd_eq_zero (x : F × E)
+    (hv : x ∈ (graph f).map (LinearEquiv.prodComm R E F))
+    (hv' : x.fst = 0) : x.snd = 0 := by
+  simp only [Submodule.mem_map, mem_graph_iff, Subtype.exists, exists_and_left, exists_eq_left,
+    LinearEquiv.prodComm_apply, Prod.exists, Prod.swap_prod_mk] at hv
+  rcases hv with ⟨a, b, ⟨ha, h1⟩, ⟨h2, h3⟩⟩
+  simp only at hv' ⊢
+  rw [hv'] at h1
+  rw [LinearMap.ker_eq_bot'] at hf
+  specialize hf ⟨a, ha⟩ h1
+  simp only [Submodule.mk_eq_zero] at hf
+  exact hf
+
+theorem inverse_graph : (inverse f).graph = f.graph.map (LinearEquiv.prodComm R E F) := by
+  rw [inverse, Submodule.toLinearPMap_graph_eq _ (mem_inverse_graph_snd_eq_zero hf)]
+
+theorem inverse_range : LinearMap.range (inverse f).toFun = f.domain := by
+  rw [inverse, Submodule.toLinearPMap_range _ (mem_inverse_graph_snd_eq_zero hf),
+    ← graph_map_fst_eq_domain, ← LinearEquiv.snd_comp_prodComm, Submodule.map_comp]
   rfl
 
-theorem mem_inverse_graph (x : f.domain) : (f x, (x : E)) ∈ (inverse hf).graph := by
-  simp only [inverse_graph, Submodule.mem_map, mem_graph_iff, Subtype.exists, exists_and_left,
+theorem mem_inverse_graph (x : f.domain) : (f x, (x : E)) ∈ (inverse f).graph := by
+  simp only [inverse_graph hf, Submodule.mem_map, mem_graph_iff, Subtype.exists, exists_and_left,
     exists_eq_left, LinearEquiv.prodComm_apply, Prod.exists, Prod.swap_prod_mk, Prod.mk.injEq]
   exact ⟨(x : E), f x, ⟨x.2, Eq.refl _⟩, Eq.refl _, Eq.refl _⟩
 
-theorem inverse_apply_eq {y : (inverse hf).domain} {x : f.domain} (hxy : f x = y) :
-    (inverse hf) y = x := by
+theorem inverse_apply_eq {y : (inverse f).domain} {x : f.domain} (hxy : f x = y) :
+    (inverse f) y = x := by
   have := mem_inverse_graph hf x
   simp only [mem_graph_iff, Subtype.exists, exists_and_left, exists_eq_left] at this
   rcases this with ⟨hx, h⟩

fix: let use provide last constructor argument, introduce mathlib3-like flattening use! (#5350)

Changes:

use now by default discharges with try with_reducible use_discharger with a custom discharger tactic rather than try with_reducible rfl, which makes it be closer to exists and the use in mathlib3. It doesn't go so far as to do try with_reducible trivial since that involves the contradiction tactic.
this discharger is configurable with use (discharger := tacticSeq...)
the use evaluation loop will try refining after constructor failure, so it can be used to fill in all arguments rather than all but the last, like in mathlib3 (closes #5072) but with the caveat that it only works so long as the last argument is not an inductive type (like Eq).
adds use!, which is nearly the same as the mathlib3 use and fills in constructor arguments along the nodes and leaves of the nested constructor expressions. This version tries refining before applying constructors, so it can be used like exact for the last argument.

The difference between mathlib3 use and this use! is that (1) use! uses a different tactic to discharge goals (mathlib3 used trivial', which did reducible refl, but also contradiction, which we don't emulate) (2) it does not rewrite using exists_prop. Regarding 2, this feature seems to be less useful now that bounded existentials encode the bound using a conjunction rather than with nested existentials. We do have exists_prop as part of use_discharger however.

Co-authored-by: Floris van Doorn <fpvdoorn@gmail.com>

c8417221

Diff

@@ -763,8 +763,7 @@ theorem smul_graph (f : E →ₗ.[R] F) (z : M) :
     rw [Submodule.mem_map]
     simp only [mem_graph_iff, LinearMap.prodMap_apply, LinearMap.id_coe, id.def,
       LinearMap.smul_apply, Prod.mk.inj_iff, Prod.exists, exists_exists_and_eq_and]
-    use x_fst, y
-    simp [hy, h]
+    use x_fst, y, hy
   rw [Submodule.mem_map] at h
   rcases h with ⟨x', hx', h⟩
   cases x'
@@ -789,8 +788,7 @@ theorem neg_graph (f : E →ₗ.[R] F) :
     rw [Submodule.mem_map]
     simp only [mem_graph_iff, LinearMap.prodMap_apply, LinearMap.id_coe, id.def,
       LinearMap.neg_apply, Prod.mk.inj_iff, Prod.exists, exists_exists_and_eq_and]
-    use x_fst, y
-    simp [hy, h]
+    use x_fst, y, hy
   rw [Submodule.mem_map] at h
   rcases h with ⟨x', hx', h⟩
   cases x'

chore: fix grammar mistakes (#6121)

a16538af

Diff

@@ -12,7 +12,7 @@ import Mathlib.LinearAlgebra.Prod
 # Partially defined linear maps
 
 A `LinearPMap R E F` or `E →ₗ.[R] F` is a linear map from a submodule of `E` to `F`.
-We define a `SemilatticeInf` with `OrderBot` instance on this this, and define three operations:
+We define a `SemilatticeInf` with `OrderBot` instance on this, and define three operations:
 
 * `mkSpanSingleton` defines a partial linear map defined on the span of a singleton.
 * `sup` takes two partial linear maps `f`, `g` that agree on the intersection of their

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

89aa3a3b

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2020 Yury Kudryashov All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov, Moritz Doll
-
-! This file was ported from Lean 3 source module linear_algebra.linear_pmap
-! leanprover-community/mathlib commit 8b981918a93bc45a8600de608cde7944a80d92b9
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.LinearAlgebra.Basic
 import Mathlib.LinearAlgebra.Prod
 
+#align_import linear_algebra.linear_pmap from "leanprover-community/mathlib"@"8b981918a93bc45a8600de608cde7944a80d92b9"
+
 /-!
 # Partially defined linear maps

forward port 18820 (#5521)

31812d3c

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov, Moritz Doll
 
 ! This file was ported from Lean 3 source module linear_algebra.linear_pmap
-! leanprover-community/mathlib commit 8709a597a377df3433d863887978b3d01a07c587
+! leanprover-community/mathlib commit 8b981918a93bc45a8600de608cde7944a80d92b9
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -636,6 +636,11 @@ theorem toPMap_apply (f : E →ₗ[R] F) (p : Submodule R E) (x : p) : f.toPMap
   rfl
 #align linear_map.to_pmap_apply LinearMap.toPMap_apply
 
+@[simp]
+theorem toPMap_domain (f : E →ₗ[R] F) (p : Submodule R E) : (f.toPMap p).domain = p :=
+  rfl
+#align linear_map.to_pmap_domain LinearMap.toPMap_domain
+
 /-- Compose a linear map with a `LinearPMap` -/
 def compPMap (g : F →ₗ[R] G) (f : E →ₗ.[R] F) : E →ₗ.[R] G where
   domain := f.domain

chore: clean up spacing around at and goals (#5387)

Changes are of the form

some_tactic at h⊢ -> some_tactic at h ⊢
some_tactic at h -> some_tactic at h

2a870323

Diff

@@ -768,7 +768,7 @@ theorem smul_graph (f : E →ₗ.[R] F) (z : M) :
   cases x'
   simp only [LinearMap.prodMap_apply, LinearMap.id_coe, id.def, LinearMap.smul_apply,
     Prod.mk.inj_iff] at h
-  rw [mem_graph_iff] at hx'⊢
+  rw [mem_graph_iff] at hx' ⊢
   rcases hx' with ⟨y, hy, hx'⟩
   use y
   rw [← h.1, ← h.2]
@@ -794,7 +794,7 @@ theorem neg_graph (f : E →ₗ.[R] F) :
   cases x'
   simp only [LinearMap.prodMap_apply, LinearMap.id_coe, id.def, LinearMap.neg_apply,
     Prod.mk.inj_iff] at h
-  rw [mem_graph_iff] at hx'⊢
+  rw [mem_graph_iff] at hx' ⊢
   rcases hx' with ⟨y, hy, hx'⟩
   use y
   rw [← h.1, ← h.2]
@@ -876,7 +876,7 @@ theorem mem_domain_iff_of_eq_graph {f g : E →ₗ.[R] F} (h : f.graph = g.graph
 theorem le_of_le_graph {f g : E →ₗ.[R] F} (h : f.graph ≤ g.graph) : f ≤ g := by
   constructor
   · intro x hx
-    rw [mem_domain_iff] at hx⊢
+    rw [mem_domain_iff] at hx ⊢
     cases' hx with y hx
     use y
     exact h hx
@@ -891,7 +891,7 @@ theorem le_of_le_graph {f g : E →ₗ.[R] F} (h : f.graph ≤ g.graph) : f ≤
 
 theorem le_graph_of_le {f g : E →ₗ.[R] F} (h : f ≤ g) : f.graph ≤ g.graph := by
   intro x hx
-  rw [mem_graph_iff] at hx⊢
+  rw [mem_graph_iff] at hx ⊢
   cases' hx with y hx
   use ⟨y, h.1 y.2⟩
   simp only [hx, Submodule.coe_mk, eq_self_iff_true, true_and_iff]

chore: bump Std4 (#5219)

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Mario Carneiro <di.gama@gmail.com>

59c36da5

Diff

@@ -453,10 +453,9 @@ theorem neg_apply (f : E →ₗ.[R] F) (x) : (-f) x = -f x :=
 
 instance instInvolutiveNeg : InvolutiveNeg (E →ₗ.[R] F) :=
   ⟨fun f => by
-    ext x
+    ext x y hxy
     · rfl
-    · intros y hxy
-      simp only [neg_apply, neg_neg]
+    · simp only [neg_apply, neg_neg]
       cases x
       congr⟩
 
@@ -475,29 +474,25 @@ theorem add_apply (f g : E →ₗ.[R] F) (x : (f.domain ⊓ g.domain : Submodule
 
 instance instAddSemigroup : AddSemigroup (E →ₗ.[R] F) :=
   ⟨fun f g h => by
-    ext x
+    ext x y hxy
     · simp only [add_domain, inf_assoc]
-    · intro y hxy
-      simp only [add_apply, hxy, add_assoc]⟩
+    · simp only [add_apply, hxy, add_assoc]⟩
 
 instance instAddCommSemigroup : AddCommSemigroup (E →ₗ.[R] F) :=
   ⟨fun f g => by
-    ext x
+    ext x y hxy
     · simp only [add_domain, inf_comm]
-    · intro y hxy
-      simp only [add_apply, hxy, add_comm]⟩
+    · simp only [add_apply, hxy, add_comm]⟩
 
 instance instAddZeroClass : AddZeroClass (E →ₗ.[R] F) :=
   ⟨fun f => by
-    ext x
+    ext x y hxy
     · simp [add_domain]
-    · intro y hxy
-      simp only [add_apply, hxy, zero_apply, zero_add],
+    · simp only [add_apply, hxy, zero_apply, zero_add],
   fun f => by
-    ext x
+    ext x y hxy
     · simp [add_domain]
-    · intro y hxy
-      simp only [add_apply, hxy, zero_apply, add_zero]⟩
+    · simp only [add_apply, hxy, zero_apply, add_zero]⟩
 
 end Add

chore: add links to issue for rw regressions (#5167)

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au>

5307644a

Diff

@@ -558,9 +558,10 @@ theorem supSpanSingleton_apply_mk (f : E →ₗ.[K] F) (x : E) (y : F) (hx : x 
         ⟨x' + c • x, mem_sup.2 ⟨x', hx', _, mem_span_singleton.2 ⟨c, rfl⟩, rfl⟩⟩ =
       f ⟨x', hx'⟩ + c • y := by
   -- Porting note: `erw [..]; rfl; exact ..` → `erw [..]; exact ..; rfl`
+  -- That is, the order of the side goals generated by `erw` changed.
   erw [sup_apply _ ⟨x', hx'⟩ ⟨c • x, _⟩, mkSpanSingleton'_apply]
-  exact mem_span_singleton.2 ⟨c, rfl⟩
-  rfl
+  · exact mem_span_singleton.2 ⟨c, rfl⟩
+  · rfl
 #align linear_pmap.sup_span_singleton_apply_mk LinearPMap.supSpanSingleton_apply_mk
 
 end

chore: update std 05-22 (#4248)

The main breaking change is that tac <;> [t1, t2] is now written tac <;> [t1; t2], to avoid clashing with tactics like cases and use that take comma-separated lists.

ac36b28e

Diff

@@ -273,7 +273,7 @@ instance semilatticeInf : SemilatticeInf (E →ₗ.[R] F) where
     exact ⟨fun x hx =>
       ⟨fg_le hx, fh_le hx, by
         -- Porting note: `[exact ⟨x, hx⟩, rfl, rfl]` → `[skip, exact ⟨x, hx⟩, skip] <;> rfl`
-        refine' (fg_eq _).symm.trans (fh_eq _) <;> [skip, exact ⟨x, hx⟩, skip] <;> rfl⟩,
+        refine' (fg_eq _).symm.trans (fh_eq _) <;> [skip; exact ⟨x, hx⟩; skip] <;> rfl⟩,
       fun x ⟨y, yg, hy⟩ h => by
         apply fg_eq
         exact h⟩
@@ -584,8 +584,8 @@ private theorem sSup_aux (c : Set (E →ₗ.[R] F)) (hc : DirectedOn (· ≤ ·)
     intro p x y hxy
     rcases hc (P x).1.1 (P x).1.2 p.1 p.2 with ⟨q, _hqc, hxq, hpq⟩
     -- Porting note: `refine' ..; exacts [ofLe hpq.1 y, hxy, rfl]`
-    --               → `refine' .. <;> [skip, exact ofLe hpq.1 y, rfl]; exact hxy`
-    refine' (hxq.2 _).trans (hpq.2 _).symm <;> [skip, exact ofLe hpq.1 y, rfl]; exact hxy
+    --               → `refine' .. <;> [skip; exact ofLe hpq.1 y; rfl]; exact hxy`
+    refine' (hxq.2 _).trans (hpq.2 _).symm <;> [skip; exact ofLe hpq.1 y; rfl]; exact hxy
   refine' ⟨{ toFun := f.. }, _⟩
   · intro x y
     rcases hc (P x).1.1 (P x).1.2 (P y).1.1 (P y).1.2 with ⟨p, hpc, hpx, hpy⟩

chore: delete 2074 references (#4030)

1877b122

Diff

@@ -36,9 +36,6 @@ They are also the basis for the theory of unbounded operators.
 
 open Set
 
--- Porting note: TODO Erase this line. Needed because we don't have η for classes. (lean4#2074)
-attribute [-instance] Ring.toNonAssocRing
-
 universe u v w
 
 /-- A `LinearPMap R E F` or `E →ₗ.[R] F` is a linear map from a submodule of `E` to `F`. -/

chore: Rename to sSup/iSup (#3938)

As discussed on Zulip

Renames

supₛ → sSup
infₛ → sInf
supᵢ → iSup
infᵢ → iInf
bsupₛ → bsSup
binfₛ → bsInf
bsupᵢ → biSup
binfᵢ → biInf
csupₛ → csSup
cinfₛ → csInf
csupᵢ → ciSup
cinfᵢ → ciInf
unionₛ → sUnion
interₛ → sInter
unionᵢ → iUnion
interᵢ → iInter
bunionₛ → bsUnion
binterₛ → bsInter
bunionᵢ → biUnion
binterᵢ → biInter

Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

d1eb6264

Diff

@@ -21,14 +21,14 @@ We define a `SemilatticeInf` with `OrderBot` instance on this this, and define t
 * `sup` takes two partial linear maps `f`, `g` that agree on the intersection of their
   domains, and returns the unique partial linear map on `f.domain ⊔ g.domain` that
   extends both `f` and `g`.
-* `supₛ` takes a `DirectedOn (· ≤ ·)` set of partial linear maps, and returns the unique
-  partial linear map on the `supₛ` of their domains that extends all these maps.
+* `sSup` takes a `DirectedOn (· ≤ ·)` set of partial linear maps, and returns the unique
+  partial linear map on the `sSup` of their domains that extends all these maps.
 
 Moreover, we define
 * `LinearPMap.graph` is the graph of the partial linear map viewed as a submodule of `E × F`.
 
 Partially defined maps are currently used in `Mathlib` to prove Hahn-Banach theorem
-and its variations. Namely, `LinearPMap.supₛ` implies that every chain of `LinearPMap`s
+and its variations. Namely, `LinearPMap.sSup` implies that every chain of `LinearPMap`s
 is bounded above.
 They are also the basis for the theory of unbounded operators.
 
@@ -568,21 +568,21 @@ theorem supSpanSingleton_apply_mk (f : E →ₗ.[K] F) (x : E) (y : F) (hx : x 
 
 end
 
-private theorem supₛ_aux (c : Set (E →ₗ.[R] F)) (hc : DirectedOn (· ≤ ·) c) :
-    ∃ f : ↥(supₛ (domain '' c)) →ₗ[R] F, (⟨_, f⟩ : E →ₗ.[R] F) ∈ upperBounds c := by
+private theorem sSup_aux (c : Set (E →ₗ.[R] F)) (hc : DirectedOn (· ≤ ·) c) :
+    ∃ f : ↥(sSup (domain '' c)) →ₗ[R] F, (⟨_, f⟩ : E →ₗ.[R] F) ∈ upperBounds c := by
   cases' c.eq_empty_or_nonempty with ceq cne
   · subst c
     simp
   have hdir : DirectedOn (· ≤ ·) (domain '' c) :=
     directedOn_image.2 (hc.mono @(domain_mono.monotone))
-  have P : ∀ x : ↥(supₛ (domain '' c)), { p : c // (x : E) ∈ p.val.domain } := by
+  have P : ∀ x : ↥(sSup (domain '' c)), { p : c // (x : E) ∈ p.val.domain } := by
     rintro x
     apply Classical.indefiniteDescription
-    have := (mem_supₛ_of_directed (cne.image _) hdir).1 x.2
+    have := (mem_sSup_of_directed (cne.image _) hdir).1 x.2
     -- Porting note: + `← bex_def`
     rwa [bex_image_iff, ← bex_def, SetCoe.exists'] at this
-  set f : ↥(supₛ (domain '' c)) → F := fun x => (P x).val.val ⟨x, (P x).property⟩
-  have f_eq : ∀ (p : c) (x : ↥(supₛ (domain '' c))) (y : p.1.1) (_hxy : (x : E) = y),
+  set f : ↥(sSup (domain '' c)) → F := fun x => (P x).val.val ⟨x, (P x).property⟩
+  have f_eq : ∀ (p : c) (x : ↥(sSup (domain '' c))) (y : p.1.1) (_hxy : (x : E) = y),
       f x = p.1 y := by
     intro p x y hxy
     rcases hc (P x).1.1 (P x).1.2 p.1 p.2 with ⟨q, _hqc, hxq, hpq⟩
@@ -600,34 +600,34 @@ private theorem supₛ_aux (c : Set (E →ₗ.[R] F)) (hc : DirectedOn (· ≤ 
     -- Porting note: `simp [..]` to `simp only [..]`, or timeouts.
     simp only [f_eq (P x).1 (c • x) (c • ⟨x, (P x).2⟩) rfl, ← map_smul, RingHom.id_apply]
   · intro p hpc
-    refine' ⟨le_supₛ <| mem_image_of_mem domain hpc, fun x y hxy => Eq.symm _⟩
+    refine' ⟨le_sSup <| mem_image_of_mem domain hpc, fun x y hxy => Eq.symm _⟩
     exact f_eq ⟨p, hpc⟩ _ _ hxy.symm
 
-protected noncomputable def supₛ (c : Set (E →ₗ.[R] F)) (hc : DirectedOn (· ≤ ·) c) : E →ₗ.[R] F :=
-  ⟨_, Classical.choose <| supₛ_aux c hc⟩
-#align linear_pmap.Sup LinearPMap.supₛ
+protected noncomputable def sSup (c : Set (E →ₗ.[R] F)) (hc : DirectedOn (· ≤ ·) c) : E →ₗ.[R] F :=
+  ⟨_, Classical.choose <| sSup_aux c hc⟩
+#align linear_pmap.Sup LinearPMap.sSup
 
-protected theorem le_supₛ {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {f : E →ₗ.[R] F}
-    (hf : f ∈ c) : f ≤ LinearPMap.supₛ c hc :=
-  Classical.choose_spec (supₛ_aux c hc) hf
-#align linear_pmap.le_Sup LinearPMap.le_supₛ
+protected theorem le_sSup {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {f : E →ₗ.[R] F}
+    (hf : f ∈ c) : f ≤ LinearPMap.sSup c hc :=
+  Classical.choose_spec (sSup_aux c hc) hf
+#align linear_pmap.le_Sup LinearPMap.le_sSup
 
-protected theorem supₛ_le {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {g : E →ₗ.[R] F}
-    (hg : ∀ f ∈ c, f ≤ g) : LinearPMap.supₛ c hc ≤ g :=
+protected theorem sSup_le {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {g : E →ₗ.[R] F}
+    (hg : ∀ f ∈ c, f ≤ g) : LinearPMap.sSup c hc ≤ g :=
   le_of_eqLocus_ge <|
-    supₛ_le fun _ ⟨f, hf, Eq⟩ =>
+    sSup_le fun _ ⟨f, hf, Eq⟩ =>
       Eq ▸
-        have : f ≤ LinearPMap.supₛ c hc ⊓ g := le_inf (LinearPMap.le_supₛ _ hf) (hg f hf)
+        have : f ≤ LinearPMap.sSup c hc ⊓ g := le_inf (LinearPMap.le_sSup _ hf) (hg f hf)
         this.1
-#align linear_pmap.Sup_le LinearPMap.supₛ_le
+#align linear_pmap.Sup_le LinearPMap.sSup_le
 
-protected theorem supₛ_apply {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {l : E →ₗ.[R] F}
+protected theorem sSup_apply {c : Set (E →ₗ.[R] F)} (hc : DirectedOn (· ≤ ·) c) {l : E →ₗ.[R] F}
     (hl : l ∈ c) (x : l.domain) :
-    (LinearPMap.supₛ c hc) ⟨x, (LinearPMap.le_supₛ hc hl).1 x.2⟩ = l x := by
+    (LinearPMap.sSup c hc) ⟨x, (LinearPMap.le_sSup hc hl).1 x.2⟩ = l x := by
   symm
-  apply (Classical.choose_spec (supₛ_aux c hc) hl).2
+  apply (Classical.choose_spec (sSup_aux c hc) hl).2
   rfl
-#align linear_pmap.Sup_apply LinearPMap.supₛ_apply
+#align linear_pmap.Sup_apply LinearPMap.sSup_apply
 
 end LinearPMap

chore: bye-bye, solo bys! (#3825)

This PR puts, with one exception, every single remaining by that lies all by itself on its own line to the previous line, thus matching the current behaviour of start-port.sh. The exception is when the by begins the second or later argument to a tuple or anonymous constructor; see https://github.com/leanprover-community/mathlib4/pull/3825#discussion_r1186702599.

Essentially this is s/\n *by$/ by/g, but with manual editing to satisfy the linter's max-100-char-line requirement. The Python style linter is also modified to catch these "isolated bys".

14167e48

Diff

@@ -310,10 +310,8 @@ private theorem sup_aux (f g : E →ₗ.[R] F)
         (x : E) + y = ↑z → fg z = f x + g y := by
   choose x hx y hy hxy using fun z : ↥(f.domain ⊔ g.domain) => mem_sup.1 z.prop
   set fg := fun z => f ⟨x z, hx z⟩ + g ⟨y z, hy z⟩
-  have fg_eq :
-    ∀ (x' : f.domain) (y' : g.domain) (z' : ↥(f.domain ⊔ g.domain)) (_H : (x' : E) + y' = z'),
-      fg z' = f x' + g y' :=
-    by
+  have fg_eq : ∀ (x' : f.domain) (y' : g.domain) (z' : ↥(f.domain ⊔ g.domain))
+      (_H : (x' : E) + y' = z'), fg z' = f x' + g y' := by
     intro x' y' z' H
     dsimp
     rw [add_comm, ← sub_eq_sub_iff_add_eq_add, eq_comm, ← map_sub, ← map_sub]
@@ -742,8 +740,8 @@ theorem mem_graph_iff (f : E →ₗ.[R] F) {x : E × F} :
 theorem mem_graph (f : E →ₗ.[R] F) (x : domain f) : ((x : E), f x) ∈ f.graph := by simp
 #align linear_pmap.mem_graph LinearPMap.mem_graph
 
-theorem graph_map_fst_eq_domain (f : E →ₗ.[R] F) : f.graph.map (LinearMap.fst R E F) = f.domain :=
-  by
+theorem graph_map_fst_eq_domain (f : E →ₗ.[R] F) :
+    f.graph.map (LinearMap.fst R E F) = f.domain := by
   ext x
   simp only [Submodule.mem_map, mem_graph_iff, Subtype.exists, exists_and_left, exists_eq_left,
     LinearMap.fst_apply, Prod.exists, exists_and_right, exists_eq_right]
@@ -967,8 +965,7 @@ noncomputable def toLinearPMap (g : Submodule R (E × F))
         have hvw' := g.add_mem (valFromGraph_mem hg v.2) (valFromGraph_mem hg w.2)
         rw [Prod.mk_add_mk] at hvw'
         exact (existsUnique_from_graph @hg hadd).unique hvw hvw'
-      map_smul' := fun a v =>
-        by
+      map_smul' := fun a v => by
         have hsmul := (g.map (LinearMap.fst R E F)).smul_mem a v.2
         have hav := valFromGraph_mem hg hsmul
         have hav' := g.smul_mem a (valFromGraph_mem hg v.2)
@@ -998,8 +995,7 @@ theorem toLinearPMap_graph_eq (g : Submodule R (E × F))
     exact Prod.ext hx1.symm hx2.symm
   rw [LinearPMap.mem_graph_iff]
   cases' x with x_fst x_snd
-  have hx_fst : x_fst ∈ g.map (LinearMap.fst R E F) :=
-    by
+  have hx_fst : x_fst ∈ g.map (LinearMap.fst R E F) := by
     simp only [mem_map, LinearMap.fst_apply, Prod.exists, exists_and_right, exists_eq_right]
     exact ⟨x_snd, hx⟩
   refine' ⟨⟨x_fst, hx_fst⟩, Subtype.coe_mk x_fst hx_fst, _⟩

feat: inverse of LinearPMap (#3527)

e0fa506a

Diff

@@ -742,6 +742,20 @@ theorem mem_graph_iff (f : E →ₗ.[R] F) {x : E × F} :
 theorem mem_graph (f : E →ₗ.[R] F) (x : domain f) : ((x : E), f x) ∈ f.graph := by simp
 #align linear_pmap.mem_graph LinearPMap.mem_graph
 
+theorem graph_map_fst_eq_domain (f : E →ₗ.[R] F) : f.graph.map (LinearMap.fst R E F) = f.domain :=
+  by
+  ext x
+  simp only [Submodule.mem_map, mem_graph_iff, Subtype.exists, exists_and_left, exists_eq_left,
+    LinearMap.fst_apply, Prod.exists, exists_and_right, exists_eq_right]
+  constructor <;> intro h
+  · rcases h with ⟨x, hx, _⟩
+    exact hx
+  · use f ⟨x, h⟩
+    simp only [h, exists_prop]
+
+theorem graph_map_snd_eq_range (f : E →ₗ.[R] F) :
+    f.graph.map (LinearMap.snd R E F) = LinearMap.range f.toFun := by ext; simp
+
 variable {M : Type _} [Monoid M] [DistribMulAction M F] [SMulCommClass R M F] (y : M)
 
 /-- The graph of `z • f` as a pushforward. -/
@@ -962,6 +976,10 @@ noncomputable def toLinearPMap (g : Submodule R (E × F))
         exact (existsUnique_from_graph @hg hsmul).unique hav hav' }
 #align submodule.to_linear_pmap Submodule.toLinearPMap
 
+theorem toLinearPMap_domain (g : Submodule R (E × F))
+    (hg : ∀ (x : E × F) (_hx : x ∈ g) (_hx' : x.fst = 0), x.snd = 0) :
+    (g.toLinearPMap hg).domain = g.map (LinearMap.fst R E F) := rfl
+
 theorem mem_graph_toLinearPMap (g : Submodule R (E × F))
     (hg : ∀ (x : E × F) (_hx : x ∈ g) (_hx' : x.fst = 0), x.snd = 0)
     (x : g.map (LinearMap.fst R E F)) : (x.val, g.toLinearPMap hg x) ∈ g :=
@@ -988,6 +1006,62 @@ theorem toLinearPMap_graph_eq (g : Submodule R (E × F))
   exact (existsUnique_from_graph @hg hx_fst).unique (valFromGraph_mem hg hx_fst) hx
 #align submodule.to_linear_pmap_graph_eq Submodule.toLinearPMap_graph_eq
 
+theorem toLinearPMap_range (g : Submodule R (E × F))
+    (hg : ∀ (x : E × F) (_hx : x ∈ g) (_hx' : x.fst = 0), x.snd = 0) :
+    LinearMap.range (g.toLinearPMap hg).toFun = g.map (LinearMap.snd R E F) := by
+  rw [← LinearPMap.graph_map_snd_eq_range, toLinearPMap_graph_eq]
+
 end SubmoduleToLinearPMap
 
 end Submodule
+
+namespace LinearPMap
+
+section inverse
+
+variable {f : E →ₗ.[R] F} (hf : LinearMap.ker f.toFun = ⊥)
+
+/-- The inverse of a `LinearPMap`. -/
+noncomputable def inverse : F →ₗ.[R] E :=
+  (f.graph.map (LinearEquiv.prodComm R E F)).toLinearPMap
+  (fun v hv hv' => by
+    simp only [Submodule.mem_map, mem_graph_iff, Subtype.exists, exists_and_left, exists_eq_left,
+      LinearEquiv.prodComm_apply, Prod.exists, Prod.swap_prod_mk] at hv
+    rcases hv with ⟨a, b, ⟨ha, h1⟩, ⟨h2, h3⟩⟩
+    simp only at hv' ⊢
+    rw [hv'] at h1
+    rw [LinearMap.ker_eq_bot'] at hf
+    specialize hf ⟨a, ha⟩ h1
+    simp only [Submodule.mk_eq_zero] at hf
+    exact hf )
+
+theorem inverse_graph : (inverse hf).graph = f.graph.map (LinearEquiv.prodComm R E F) := by
+  rw [inverse, Submodule.toLinearPMap_graph_eq]
+
+theorem inverse_domain : (inverse hf).domain = LinearMap.range f.toFun := by
+  rw [inverse, Submodule.toLinearPMap_domain, ← graph_map_snd_eq_range,
+    ← LinearEquiv.fst_comp_prodComm, Submodule.map_comp]
+  rfl
+
+theorem inverse_range : LinearMap.range (inverse hf).toFun = f.domain := by
+  rw [inverse, Submodule.toLinearPMap_range, ← graph_map_fst_eq_domain,
+    ← LinearEquiv.snd_comp_prodComm, Submodule.map_comp]
+  rfl
+
+theorem mem_inverse_graph (x : f.domain) : (f x, (x : E)) ∈ (inverse hf).graph := by
+  simp only [inverse_graph, Submodule.mem_map, mem_graph_iff, Subtype.exists, exists_and_left,
+    exists_eq_left, LinearEquiv.prodComm_apply, Prod.exists, Prod.swap_prod_mk, Prod.mk.injEq]
+  exact ⟨(x : E), f x, ⟨x.2, Eq.refl _⟩, Eq.refl _, Eq.refl _⟩
+
+theorem inverse_apply_eq {y : (inverse hf).domain} {x : f.domain} (hxy : f x = y) :
+    (inverse hf) y = x := by
+  have := mem_inverse_graph hf x
+  simp only [mem_graph_iff, Subtype.exists, exists_and_left, exists_eq_left] at this
+  rcases this with ⟨hx, h⟩
+  rw [← h]
+  congr
+  simp only [hxy, Subtype.coe_eta]
+
+end inverse
+
+end LinearPMap

feat: more algebra for LinearPMap (#3521)

f1b02bec

Diff

@@ -214,15 +214,6 @@ theorem snd_apply (p : Submodule R E) (p' : Submodule R F) (x : p.prod p') :
   rfl
 #align linear_pmap.snd_apply LinearPMap.snd_apply
 
-instance neg : Neg (E →ₗ.[R] F) :=
-  ⟨fun f => ⟨f.domain, -f.toFun⟩⟩
-#align linear_pmap.has_neg LinearPMap.neg
-
-@[simp]
-theorem neg_apply (f : E →ₗ.[R] F) (x) : (-f) x = -f x :=
-  rfl
-#align linear_pmap.neg_apply LinearPMap.neg_apply
-
 instance le : LE (E →ₗ.[R] F) :=
   ⟨fun f g => f.domain ≤ g.domain ∧ ∀ ⦃x : f.domain⦄ ⦃y : g.domain⦄ (_h : (x : E) = y), f x = g y⟩
 #align linear_pmap.has_le LinearPMap.le
@@ -396,6 +387,21 @@ theorem sup_h_of_disjoint (f g : E →ₗ.[R] F) (h : Disjoint f.domain g.domain
   simp [*]
 #align linear_pmap.sup_h_of_disjoint LinearPMap.sup_h_of_disjoint
 
+/-! ### Algebraic operations -/
+
+
+section zero
+
+instance instZero : Zero (E →ₗ.[R] F) := ⟨⊤, 0⟩
+
+@[simp]
+theorem zero_domain : (0 : E →ₗ.[R] F).domain = ⊤ := rfl
+
+@[simp]
+theorem zero_apply (x : (⊤ : Submodule R E)) : (0 : E →ₗ.[R] F) x = 0 := rfl
+
+end zero
+
 section Smul
 
 variable {M N : Type _} [Monoid M] [DistribMulAction M F] [SMulCommClass R M F]
@@ -438,6 +444,68 @@ instance mulAction : MulAction M (E →ₗ.[R] F) where
 
 end Smul
 
+instance neg : Neg (E →ₗ.[R] F) :=
+  ⟨fun f => ⟨f.domain, -f.toFun⟩⟩
+#align linear_pmap.has_neg LinearPMap.neg
+
+@[simp]
+theorem neg_domain (f : E →ₗ.[R] F) : (-f).domain = f.domain := rfl
+
+@[simp]
+theorem neg_apply (f : E →ₗ.[R] F) (x) : (-f) x = -f x :=
+  rfl
+#align linear_pmap.neg_apply LinearPMap.neg_apply
+
+instance instInvolutiveNeg : InvolutiveNeg (E →ₗ.[R] F) :=
+  ⟨fun f => by
+    ext x
+    · rfl
+    · intros y hxy
+      simp only [neg_apply, neg_neg]
+      cases x
+      congr⟩
+
+section Add
+
+instance add : Add (E →ₗ.[R] F) :=
+  ⟨fun f g =>
+    { domain := f.domain ⊓ g.domain
+      toFun := f.toFun.comp (ofLe (inf_le_left : f.domain ⊓ g.domain ≤ _))
+        + g.toFun.comp (ofLe (inf_le_right : f.domain ⊓ g.domain ≤ _)) }⟩
+
+theorem add_domain (f g : E →ₗ.[R] F) : (f + g).domain = f.domain ⊓ g.domain := rfl
+
+theorem add_apply (f g : E →ₗ.[R] F) (x : (f.domain ⊓ g.domain : Submodule R E)) :
+    (f + g) x = f ⟨x, x.prop.1⟩ + g ⟨x, x.prop.2⟩ := rfl
+
+instance instAddSemigroup : AddSemigroup (E →ₗ.[R] F) :=
+  ⟨fun f g h => by
+    ext x
+    · simp only [add_domain, inf_assoc]
+    · intro y hxy
+      simp only [add_apply, hxy, add_assoc]⟩
+
+instance instAddCommSemigroup : AddCommSemigroup (E →ₗ.[R] F) :=
+  ⟨fun f g => by
+    ext x
+    · simp only [add_domain, inf_comm]
+    · intro y hxy
+      simp only [add_apply, hxy, add_comm]⟩
+
+instance instAddZeroClass : AddZeroClass (E →ₗ.[R] F) :=
+  ⟨fun f => by
+    ext x
+    · simp [add_domain]
+    · intro y hxy
+      simp only [add_apply, hxy, zero_apply, zero_add],
+  fun f => by
+    ext x
+    · simp [add_domain]
+    · intro y hxy
+      simp only [add_apply, hxy, zero_apply, add_zero]⟩
+
+end Add
+
 section Vadd
 
 instance vadd : VAdd (E →ₗ[R] F) (E →ₗ.[R] F) :=

feat: improvements to congr! and convert (#2606)

There is now configuration for congr!, convert, and convert_to to control parts of the congruence algorithm, in particular transparency settings when applying congruence lemmas.
congr! now applies congruence lemmas with reducible transparency by default. This prevents it from unfolding definitions when applying congruence lemmas. It also now tries both the LHS-biased and RHS-biased simp congruence lemmas, with a configuration option to set which it should try first.
There is now a new HEq congruence lemma generator that gives each hypothesis access to the proofs of previous hypotheses. This means that if you have an equality ⊢ ⟨a, x⟩ = ⟨b, y⟩ of sigma types, congr! turns this into goals ⊢ a = b and ⊢ a = b → HEq x y (note that congr! will also auto-introduce a = b for you in the second goal). This congruence lemma generator applies to more cases than the simp congruence lemma generator does.
congr! (and hence convert) are more careful about applying lemmas that don't force definitions to unfold. There were a number of cases in mathlib where the implementation of congr was being abused to unfold definitions.
With set_option trace.congr! true you can see what congr! sees when it is deciding on congruence lemmas.
There is also a bug fix in convert_to to do using 1 when there is no using clause, to match its documentation.

Note that congr! is more capable than congr at finding a way to equate left-hand sides and right-hand sides, so you will frequently need to limit its depth with a using clause. However, there is also a new heuristic to prevent considering unlikely-to-be-provable type equalities (controlled by the typeEqs option), which can help limit the depth automatically.

There is also a predefined configuration that you can invoke with, for example, convert (config := .unfoldSameFun) h, that causes it to behave more like congr, including using default transparency when unfolding.

61ca0ea8

Diff

@@ -908,7 +908,7 @@ theorem toLinearPMap_graph_eq (g : Submodule R (E × F))
   constructor <;> intro hx
   · rw [LinearPMap.mem_graph_iff] at hx
     rcases hx with ⟨y, hx1, hx2⟩
-    convert g.mem_graph_toLinearPMap hg y
+    convert g.mem_graph_toLinearPMap hg y using 1
     exact Prod.ext hx1.symm hx2.symm
   rw [LinearPMap.mem_graph_iff]
   cases' x with x_fst x_snd

refactor: rename HasSup/HasInf to Sup/Inf (#2475)

Co-authored-by: Yury G. Kudryashov <urkud@urkud.name>

294082ef

Diff

@@ -258,9 +258,9 @@ def eqLocus (f g : E →ₗ.[R] F) : Submodule R E where
         by erw [f.map_smul c ⟨x, hfx⟩, g.map_smul c ⟨x, hgx⟩, hx]⟩
 #align linear_pmap.eq_locus LinearPMap.eqLocus
 
-instance hasInf : HasInf (E →ₗ.[R] F) :=
+instance inf : Inf (E →ₗ.[R] F) :=
   ⟨fun f g => ⟨f.eqLocus g, f.toFun.comp <| ofLe fun _x hx => hx.fst⟩⟩
-#align linear_pmap.has_inf LinearPMap.hasInf
+#align linear_pmap.has_inf LinearPMap.inf
 
 instance bot : Bot (E →ₗ.[R] F) :=
   ⟨⟨⊥, 0⟩⟩