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

@@ -463,7 +463,7 @@ theorem linearIndependent_of_top_le_span_of_card_eq_finrank {ι : Type _} [Finty
         (b '' (Set.univ \ {i})).toFinset.card = ((Set.univ \ {i}).toFinset.image b).card := by
           rw [Set.toFinset_card, Fintype.card_ofFinset]
         _ ≤ (Set.univ \ {i}).toFinset.card := Finset.card_image_le
-        _ = (finset.univ.erase i).card := (congr_arg Finset.card (Finset.ext (by simp [and_comm'])))
+        _ = (finset.univ.erase i).card := (congr_arg Finset.card (Finset.ext (by simp [and_comm])))
         _ < finset.univ.card := (Finset.card_erase_lt_of_mem (Finset.mem_univ i))
         _ = finrank K V := card_eq
     -- We already have that `b '' univ` spans the whole space,

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

@@ -3,7 +3,7 @@ Copyright (c) 2019 Chris Hughes. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Chris Hughes, Anne Baanen
 -/
-import LinearAlgebra.Dimension
+import LinearAlgebra.Dimension.Basic
 
 #align_import linear_algebra.finrank from "leanprover-community/mathlib"@"9a48a083b390d9b84a71efbdc4e8dfa26a687104"
 
@@ -491,6 +491,7 @@ theorem linearIndependent_of_top_le_span_of_card_eq_finrank {ι : Type _} [Finty
         by rw [smul_add, ← mul_smul, inv_mul_cancel gx_ne_zero, one_smul]
       _ = (g i)⁻¹ • 0 := (congr_arg _ _)
       _ = 0 := smul_zero _
+    -- And then it's just a bit of manipulation with finite sums.
     rwa [← Finset.insert_erase i_mem_s, Finset.sum_insert (Finset.not_mem_erase _ _)] at dependent
 #align linear_independent_of_top_le_span_of_card_eq_finrank linearIndependent_of_top_le_span_of_card_eq_finrank
 -/

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

@@ -67,8 +67,8 @@ noncomputable def finrank (R V : Type _) [Semiring R] [AddCommGroup V] [Module R
 #print FiniteDimensional.finrank_eq_of_rank_eq /-
 theorem finrank_eq_of_rank_eq {n : ℕ} (h : Module.rank K V = ↑n) : finrank K V = n :=
   by
-  apply_fun toNat at h 
-  rw [to_nat_cast] at h 
+  apply_fun toNat at h
+  rw [to_nat_cast] at h
   exact_mod_cast h
 #align finite_dimensional.finrank_eq_of_rank_eq FiniteDimensional.finrank_eq_of_rank_eq
 -/
@@ -76,7 +76,7 @@ theorem finrank_eq_of_rank_eq {n : ℕ} (h : Module.rank K V = ↑n) : finrank K
 #print FiniteDimensional.finrank_le_of_rank_le /-
 theorem finrank_le_of_rank_le {n : ℕ} (h : Module.rank K V ≤ ↑n) : finrank K V ≤ n :=
   by
-  rwa [← Cardinal.toNat_le_iff_le_of_lt_aleph0, to_nat_cast] at h 
+  rwa [← Cardinal.toNat_le_iff_le_of_lt_aleph0, to_nat_cast] at h
   · exact h.trans_lt (nat_lt_aleph_0 n)
   · exact nat_lt_aleph_0 n
 #align finite_dimensional.finrank_le_of_rank_le FiniteDimensional.finrank_le_of_rank_le
@@ -85,7 +85,7 @@ theorem finrank_le_of_rank_le {n : ℕ} (h : Module.rank K V ≤ ↑n) : finrank
 #print FiniteDimensional.finrank_lt_of_rank_lt /-
 theorem finrank_lt_of_rank_lt {n : ℕ} (h : Module.rank K V < ↑n) : finrank K V < n :=
   by
-  rwa [← Cardinal.toNat_lt_iff_lt_of_lt_aleph0, to_nat_cast] at h 
+  rwa [← Cardinal.toNat_lt_iff_lt_of_lt_aleph0, to_nat_cast] at h
   · exact h.trans (nat_lt_aleph_0 n)
   · exact nat_lt_aleph_0 n
 #align finite_dimensional.finrank_lt_of_rank_lt FiniteDimensional.finrank_lt_of_rank_lt
@@ -339,7 +339,7 @@ theorem lt_of_le_of_finrank_lt_finrank {s t : Submodule K V} (le : s ≤ t)
 #print Submodule.lt_top_of_finrank_lt_finrank /-
 theorem lt_top_of_finrank_lt_finrank {s : Submodule K V} (lt : finrank K s < finrank K V) : s < ⊤ :=
   by
-  rw [← finrank_top K V] at lt 
+  rw [← finrank_top K V] at lt
   exact lt_of_le_of_finrank_lt_finrank le_top lt
 #align submodule.lt_top_of_finrank_lt_finrank Submodule.lt_top_of_finrank_lt_finrank
 -/
@@ -395,7 +395,7 @@ theorem finrank_span_eq_card {ι : Type _} [Fintype ι] {b : ι → V} (hb : Lin
     (by
       have : Module.rank K (span K (Set.range b)) = (#Set.range b) := rank_span hb
       rwa [← lift_inj, mk_range_eq_of_injective hb.injective, Cardinal.mk_fintype, lift_nat_cast,
-        lift_eq_nat_iff] at this )
+        lift_eq_nat_iff] at this)
 #align finrank_span_eq_card finrank_span_eq_card
 -/
 
@@ -405,7 +405,7 @@ theorem finrank_span_set_eq_card (s : Set V) [Fintype s] (hs : LinearIndependent
   finrank_eq_of_rank_eq
     (by
       have : Module.rank K (span K s) = (#s) := rank_span_set hs
-      rwa [Cardinal.mk_fintype, ← Set.toFinset_card] at this )
+      rwa [Cardinal.mk_fintype, ← Set.toFinset_card] at this)
 #align finrank_span_set_eq_card finrank_span_set_eq_card
 -/
 
@@ -491,8 +491,7 @@ theorem linearIndependent_of_top_le_span_of_card_eq_finrank {ι : Type _} [Finty
         by rw [smul_add, ← mul_smul, inv_mul_cancel gx_ne_zero, one_smul]
       _ = (g i)⁻¹ • 0 := (congr_arg _ _)
       _ = 0 := smul_zero _
-    -- And then it's just a bit of manipulation with finite sums.
-    rwa [← Finset.insert_erase i_mem_s, Finset.sum_insert (Finset.not_mem_erase _ _)] at dependent 
+    rwa [← Finset.insert_erase i_mem_s, Finset.sum_insert (Finset.not_mem_erase _ _)] at dependent
 #align linear_independent_of_top_le_span_of_card_eq_finrank linearIndependent_of_top_le_span_of_card_eq_finrank
 -/
 
@@ -513,7 +512,7 @@ theorem linearIndependent_iff_card_eq_finrank_span {ι : Type _} [Fintype ι] {b
       intro x
       have h : span K (f '' Set.range b') = map f (span K (Set.range b')) := span_image f
       have hf : f '' Set.range b' = Set.range b := by ext x; simp [Set.mem_image, Set.mem_range]
-      rw [hf] at h 
+      rw [hf] at h
       have hx : (x : V) ∈ span K (Set.range b) := x.property
       conv at hx =>
         congr

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

@@ -197,12 +197,10 @@ section DivisionRing
 variable [DivisionRing K] [AddCommGroup V] [Module K V] {V₂ : Type v'} [AddCommGroup V₂]
   [Module K V₂]
 
-#print FiniteDimensional.Basis.subset_extend /-
 theorem Basis.subset_extend {s : Set V} (hs : LinearIndependent K (coe : s → V)) :
     s ⊆ hs.extend (Set.subset_univ _) :=
   hs.subset_extend _
 #align finite_dimensional.basis.subset_extend FiniteDimensional.Basis.subset_extend
--/
 
 end DivisionRing
 

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

@@ -3,7 +3,7 @@ Copyright (c) 2019 Chris Hughes. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Chris Hughes, Anne Baanen
 -/
-import Mathbin.LinearAlgebra.Dimension
+import LinearAlgebra.Dimension
 
 #align_import linear_algebra.finrank from "leanprover-community/mathlib"@"9a48a083b390d9b84a71efbdc4e8dfa26a687104"
 

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

@@ -91,15 +91,15 @@ theorem finrank_lt_of_rank_lt {n : ℕ} (h : Module.rank K V < ↑n) : finrank K
 #align finite_dimensional.finrank_lt_of_rank_lt FiniteDimensional.finrank_lt_of_rank_lt
 -/
 
-#print FiniteDimensional.rank_lt_of_finrank_lt /-
-theorem rank_lt_of_finrank_lt {n : ℕ} (h : n < finrank K V) : ↑n < Module.rank K V :=
+#print FiniteDimensional.lt_rank_of_lt_finrank /-
+theorem lt_rank_of_lt_finrank {n : ℕ} (h : n < finrank K V) : ↑n < Module.rank K V :=
   by
   rwa [← Cardinal.toNat_lt_iff_lt_of_lt_aleph0, to_nat_cast]
   · exact nat_lt_aleph_0 n
   · contrapose! h
     rw [finrank, Cardinal.toNat_apply_of_aleph0_le h]
     exact n.zero_le
-#align finite_dimensional.rank_lt_of_finrank_lt FiniteDimensional.rank_lt_of_finrank_lt
+#align finite_dimensional.rank_lt_of_finrank_lt FiniteDimensional.lt_rank_of_lt_finrank
 -/
 
 #print FiniteDimensional.finrank_le_finrank_of_rank_le_rank /-
@@ -117,7 +117,7 @@ variable [Nontrivial K] [NoZeroSMulDivisors K V]
 #print FiniteDimensional.nontrivial_of_finrank_pos /-
 /-- A finite dimensional space is nontrivial if it has positive `finrank`. -/
 theorem nontrivial_of_finrank_pos (h : 0 < finrank K V) : Nontrivial V :=
-  rank_pos_iff_nontrivial.mp (rank_lt_of_finrank_lt h)
+  rank_pos_iff_nontrivial.mp (lt_rank_of_lt_finrank h)
 #align finite_dimensional.nontrivial_of_finrank_pos FiniteDimensional.nontrivial_of_finrank_pos
 -/
 

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

@@ -2,14 +2,11 @@
 Copyright (c) 2019 Chris Hughes. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Chris Hughes, Anne Baanen
-
-! This file was ported from Lean 3 source module linear_algebra.finrank
-! leanprover-community/mathlib commit 9a48a083b390d9b84a71efbdc4e8dfa26a687104
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.LinearAlgebra.Dimension
 
+#align_import linear_algebra.finrank from "leanprover-community/mathlib"@"9a48a083b390d9b84a71efbdc4e8dfa26a687104"
+
 /-!
 # Finite dimension of vector spaces
 

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

@@ -67,27 +67,34 @@ noncomputable def finrank (R V : Type _) [Semiring R] [AddCommGroup V] [Module R
 #align finite_dimensional.finrank FiniteDimensional.finrank
 -/
 
+#print FiniteDimensional.finrank_eq_of_rank_eq /-
 theorem finrank_eq_of_rank_eq {n : ℕ} (h : Module.rank K V = ↑n) : finrank K V = n :=
   by
   apply_fun toNat at h 
   rw [to_nat_cast] at h 
   exact_mod_cast h
 #align finite_dimensional.finrank_eq_of_rank_eq FiniteDimensional.finrank_eq_of_rank_eq
+-/
 
+#print FiniteDimensional.finrank_le_of_rank_le /-
 theorem finrank_le_of_rank_le {n : ℕ} (h : Module.rank K V ≤ ↑n) : finrank K V ≤ n :=
   by
   rwa [← Cardinal.toNat_le_iff_le_of_lt_aleph0, to_nat_cast] at h 
   · exact h.trans_lt (nat_lt_aleph_0 n)
   · exact nat_lt_aleph_0 n
 #align finite_dimensional.finrank_le_of_rank_le FiniteDimensional.finrank_le_of_rank_le
+-/
 
+#print FiniteDimensional.finrank_lt_of_rank_lt /-
 theorem finrank_lt_of_rank_lt {n : ℕ} (h : Module.rank K V < ↑n) : finrank K V < n :=
   by
   rwa [← Cardinal.toNat_lt_iff_lt_of_lt_aleph0, to_nat_cast] at h 
   · exact h.trans (nat_lt_aleph_0 n)
   · exact nat_lt_aleph_0 n
 #align finite_dimensional.finrank_lt_of_rank_lt FiniteDimensional.finrank_lt_of_rank_lt
+-/
 
+#print FiniteDimensional.rank_lt_of_finrank_lt /-
 theorem rank_lt_of_finrank_lt {n : ℕ} (h : n < finrank K V) : ↑n < Module.rank K V :=
   by
   rwa [← Cardinal.toNat_lt_iff_lt_of_lt_aleph0, to_nat_cast]
@@ -96,6 +103,7 @@ theorem rank_lt_of_finrank_lt {n : ℕ} (h : n < finrank K V) : ↑n < Module.ra
     rw [finrank, Cardinal.toNat_apply_of_aleph0_le h]
     exact n.zero_le
 #align finite_dimensional.rank_lt_of_finrank_lt FiniteDimensional.rank_lt_of_finrank_lt
+-/
 
 #print FiniteDimensional.finrank_le_finrank_of_rank_le_rank /-
 theorem finrank_le_finrank_of_rank_le_rank
@@ -109,17 +117,22 @@ section
 
 variable [Nontrivial K] [NoZeroSMulDivisors K V]
 
+#print FiniteDimensional.nontrivial_of_finrank_pos /-
 /-- A finite dimensional space is nontrivial if it has positive `finrank`. -/
 theorem nontrivial_of_finrank_pos (h : 0 < finrank K V) : Nontrivial V :=
   rank_pos_iff_nontrivial.mp (rank_lt_of_finrank_lt h)
 #align finite_dimensional.nontrivial_of_finrank_pos FiniteDimensional.nontrivial_of_finrank_pos
+-/
 
+#print FiniteDimensional.nontrivial_of_finrank_eq_succ /-
 /-- A finite dimensional space is nontrivial if it has `finrank` equal to the successor of a
 natural number. -/
 theorem nontrivial_of_finrank_eq_succ {n : ℕ} (hn : finrank K V = n.succ) : Nontrivial V :=
   nontrivial_of_finrank_pos (by rw [hn] <;> exact n.succ_pos)
 #align finite_dimensional.nontrivial_of_finrank_eq_succ FiniteDimensional.nontrivial_of_finrank_eq_succ
+-/
 
+#print FiniteDimensional.finrank_zero_of_subsingleton /-
 /-- A (finite dimensional) space that is a subsingleton has zero `finrank`. -/
 theorem finrank_zero_of_subsingleton [h : Subsingleton V] : finrank K V = 0 :=
   by
@@ -127,6 +140,7 @@ theorem finrank_zero_of_subsingleton [h : Subsingleton V] : finrank K V = 0 :=
   obtain ⟨x, y, hxy⟩ := nontrivial_of_finrank_pos (Nat.pos_of_ne_zero h0)
   exact hxy (Subsingleton.elim _ _)
 #align finite_dimensional.finrank_zero_of_subsingleton FiniteDimensional.finrank_zero_of_subsingleton
+-/
 
 end
 
@@ -254,16 +268,20 @@ variable {R M M₂ : Type _} [Ring R] [AddCommGroup M] [AddCommGroup M₂]
 
 variable [Module R M] [Module R M₂]
 
+#print LinearEquiv.finrank_eq /-
 /-- The dimension of a finite dimensional space is preserved under linear equivalence. -/
 theorem finrank_eq (f : M ≃ₗ[R] M₂) : finrank R M = finrank R M₂ := by unfold finrank;
   rw [← Cardinal.toNat_lift, f.lift_rank_eq, Cardinal.toNat_lift]
 #align linear_equiv.finrank_eq LinearEquiv.finrank_eq
+-/
 
+#print LinearEquiv.finrank_map_eq /-
 /-- Pushforwards of finite-dimensional submodules along a `linear_equiv` have the same finrank. -/
 theorem finrank_map_eq (f : M ≃ₗ[R] M₂) (p : Submodule R M) :
     finrank R (p.map (f : M →ₗ[R] M₂)) = finrank R p :=
   (f.submoduleMap p).finrank_eq.symm
 #align linear_equiv.finrank_map_eq LinearEquiv.finrank_map_eq
+-/
 
 end LinearEquiv
 
@@ -275,10 +293,12 @@ section Ring
 
 variable [Ring K] [AddCommGroup V] [Module K V] {V₂ : Type v'} [AddCommGroup V₂] [Module K V₂]
 
+#print LinearMap.finrank_range_of_inj /-
 /-- The dimensions of the domain and range of an injective linear map are equal. -/
 theorem finrank_range_of_inj {f : V →ₗ[K] V₂} (hf : Function.Injective f) :
     finrank K f.range = finrank K V := by rw [(LinearEquiv.ofInjective f hf).finrank_eq]
 #align linear_map.finrank_range_of_inj LinearMap.finrank_range_of_inj
+-/
 
 end Ring
 
@@ -292,15 +312,19 @@ variable [Ring K] [AddCommGroup V] [Module K V]
 
 variable (K V)
 
+#print finrank_bot /-
 @[simp]
 theorem finrank_bot [Nontrivial K] : finrank K (⊥ : Submodule K V) = 0 :=
   finrank_eq_of_rank_eq (rank_bot _ _)
 #align finrank_bot finrank_bot
+-/
 
+#print finrank_top /-
 @[simp]
 theorem finrank_top : finrank K (⊤ : Submodule K V) = finrank K V := by unfold finrank;
   simp [rank_top]
 #align finrank_top finrank_top
+-/
 
 end
 
@@ -310,16 +334,20 @@ section Ring
 
 variable [Ring K] [AddCommGroup V] [Module K V] {V₂ : Type v'} [AddCommGroup V₂] [Module K V₂]
 
+#print Submodule.lt_of_le_of_finrank_lt_finrank /-
 theorem lt_of_le_of_finrank_lt_finrank {s t : Submodule K V} (le : s ≤ t)
     (lt : finrank K s < finrank K t) : s < t :=
   lt_of_le_of_ne le fun h => ne_of_lt lt (by rw [h])
 #align submodule.lt_of_le_of_finrank_lt_finrank Submodule.lt_of_le_of_finrank_lt_finrank
+-/
 
+#print Submodule.lt_top_of_finrank_lt_finrank /-
 theorem lt_top_of_finrank_lt_finrank {s : Submodule K V} (lt : finrank K s < finrank K V) : s < ⊤ :=
   by
   rw [← finrank_top K V] at lt 
   exact lt_of_le_of_finrank_lt_finrank le_top lt
 #align submodule.lt_top_of_finrank_lt_finrank Submodule.lt_top_of_finrank_lt_finrank
+-/
 
 end Ring
 
@@ -358,11 +386,14 @@ theorem finrank_span_finset_le_card (s : Finset V) : (s : Set V).finrank K ≤ s
 #align finrank_span_finset_le_card finrank_span_finset_le_card
 -/
 
+#print finrank_range_le_card /-
 theorem finrank_range_le_card {ι : Type _} [Fintype ι] {b : ι → V} :
     (Set.range b).finrank K ≤ Fintype.card ι :=
   (finrank_span_le_card _).trans <| by rw [Set.toFinset_range]; exact Finset.card_image_le
 #align finrank_range_le_card finrank_range_le_card
+-/
 
+#print finrank_span_eq_card /-
 theorem finrank_span_eq_card {ι : Type _} [Fintype ι] {b : ι → V} (hb : LinearIndependent K b) :
     finrank K (span K (Set.range b)) = Fintype.card ι :=
   finrank_eq_of_rank_eq
@@ -371,6 +402,7 @@ theorem finrank_span_eq_card {ι : Type _} [Fintype ι] {b : ι → V} (hb : Lin
       rwa [← lift_inj, mk_range_eq_of_injective hb.injective, Cardinal.mk_fintype, lift_nat_cast,
         lift_eq_nat_iff] at this )
 #align finrank_span_eq_card finrank_span_eq_card
+-/
 
 #print finrank_span_set_eq_card /-
 theorem finrank_span_set_eq_card (s : Set V) [Fintype s] (hs : LinearIndependent K (coe : s → V)) :
@@ -392,16 +424,20 @@ theorem finrank_span_finset_eq_card (s : Finset V) (hs : LinearIndependent K (co
 #align finrank_span_finset_eq_card finrank_span_finset_eq_card
 -/
 
+#print span_lt_of_subset_of_card_lt_finrank /-
 theorem span_lt_of_subset_of_card_lt_finrank {s : Set V} [Fintype s] {t : Submodule K V}
     (subset : s ⊆ t) (card_lt : s.toFinset.card < finrank K t) : span K s < t :=
   lt_of_le_of_finrank_lt_finrank (span_le.mpr subset)
     (lt_of_le_of_lt (finrank_span_le_card _) card_lt)
 #align span_lt_of_subset_of_card_lt_finrank span_lt_of_subset_of_card_lt_finrank
+-/
 
+#print span_lt_top_of_card_lt_finrank /-
 theorem span_lt_top_of_card_lt_finrank {s : Set V} [Fintype s]
     (card_lt : s.toFinset.card < finrank K V) : span K s < ⊤ :=
   lt_top_of_finrank_lt_finrank (lt_of_le_of_lt (finrank_span_le_card _) card_lt)
 #align span_lt_top_of_card_lt_finrank span_lt_top_of_card_lt_finrank
+-/
 
 end DivisionRing
 
@@ -413,6 +449,7 @@ section DivisionRing
 
 variable [DivisionRing K] [AddCommGroup V] [Module K V]
 
+#print linearIndependent_of_top_le_span_of_card_eq_finrank /-
 theorem linearIndependent_of_top_le_span_of_card_eq_finrank {ι : Type _} [Fintype ι] {b : ι → V}
     (spans : ⊤ ≤ span K (Set.range b)) (card_eq : Fintype.card ι = finrank K V) :
     LinearIndependent K b :=
@@ -462,7 +499,9 @@ theorem linearIndependent_of_top_le_span_of_card_eq_finrank {ι : Type _} [Finty
     -- And then it's just a bit of manipulation with finite sums.
     rwa [← Finset.insert_erase i_mem_s, Finset.sum_insert (Finset.not_mem_erase _ _)] at dependent 
 #align linear_independent_of_top_le_span_of_card_eq_finrank linearIndependent_of_top_le_span_of_card_eq_finrank
+-/
 
+#print linearIndependent_iff_card_eq_finrank_span /-
 /-- A finite family of vectors is linearly independent if and only if
 its cardinality equals the dimension of its span. -/
 theorem linearIndependent_iff_card_eq_finrank_span {ι : Type _} [Fintype ι] {b : ι → V} :
@@ -489,25 +528,33 @@ theorem linearIndependent_iff_card_eq_finrank_span {ι : Type _} [Fintype ι] {b
     have hi : f.ker = ⊥ := ker_subtype _
     convert (linearIndependent_of_top_le_span_of_card_eq_finrank hs hc).map' _ hi
 #align linear_independent_iff_card_eq_finrank_span linearIndependent_iff_card_eq_finrank_span
+-/
 
+#print linearIndependent_iff_card_le_finrank_span /-
 theorem linearIndependent_iff_card_le_finrank_span {ι : Type _} [Fintype ι] {b : ι → V} :
     LinearIndependent K b ↔ Fintype.card ι ≤ (Set.range b).finrank K := by
   rw [linearIndependent_iff_card_eq_finrank_span, finrank_range_le_card.le_iff_eq]
 #align linear_independent_iff_card_le_finrank_span linearIndependent_iff_card_le_finrank_span
+-/
 
+#print basisOfTopLeSpanOfCardEqFinrank /-
 /-- A family of `finrank K V` vectors forms a basis if they span the whole space. -/
 noncomputable def basisOfTopLeSpanOfCardEqFinrank {ι : Type _} [Fintype ι] (b : ι → V)
     (le_span : ⊤ ≤ span K (Set.range b)) (card_eq : Fintype.card ι = finrank K V) : Basis ι K V :=
   Basis.mk (linearIndependent_of_top_le_span_of_card_eq_finrank le_span card_eq) le_span
 #align basis_of_top_le_span_of_card_eq_finrank basisOfTopLeSpanOfCardEqFinrank
+-/
 
+#print coe_basisOfTopLeSpanOfCardEqFinrank /-
 @[simp]
 theorem coe_basisOfTopLeSpanOfCardEqFinrank {ι : Type _} [Fintype ι] (b : ι → V)
     (le_span : ⊤ ≤ span K (Set.range b)) (card_eq : Fintype.card ι = finrank K V) :
     ⇑(basisOfTopLeSpanOfCardEqFinrank b le_span card_eq) = b :=
   Basis.coe_mk _ _
 #align coe_basis_of_top_le_span_of_card_eq_finrank coe_basisOfTopLeSpanOfCardEqFinrank
+-/
 
+#print finsetBasisOfTopLeSpanOfCardEqFinrank /-
 /-- A finset of `finrank K V` vectors forms a basis if they span the whole space. -/
 @[simps repr_apply]
 noncomputable def finsetBasisOfTopLeSpanOfCardEqFinrank {s : Finset V}
@@ -516,7 +563,9 @@ noncomputable def finsetBasisOfTopLeSpanOfCardEqFinrank {s : Finset V}
     ((@Subtype.range_coe_subtype _ fun x => x ∈ s).symm ▸ le_span)
     (trans (Fintype.card_coe _) card_eq)
 #align finset_basis_of_top_le_span_of_card_eq_finrank finsetBasisOfTopLeSpanOfCardEqFinrank
+-/
 
+#print setBasisOfTopLeSpanOfCardEqFinrank /-
 /-- A set of `finrank K V` vectors forms a basis if they span the whole space. -/
 @[simps repr_apply]
 noncomputable def setBasisOfTopLeSpanOfCardEqFinrank {s : Set V} [Fintype s]
@@ -524,6 +573,7 @@ noncomputable def setBasisOfTopLeSpanOfCardEqFinrank {s : Set V} [Fintype s]
   basisOfTopLeSpanOfCardEqFinrank (coe : s → V) ((@Subtype.range_coe_subtype _ s).symm ▸ le_span)
     (trans s.toFinset_card.symm card_eq)
 #align set_basis_of_top_le_span_of_card_eq_finrank setBasisOfTopLeSpanOfCardEqFinrank
+-/
 
 end DivisionRing
 
@@ -540,6 +590,7 @@ variable [Ring K] [AddCommGroup V] [Module K V]
 
 variable [NoZeroSMulDivisors K V] [StrongRankCondition K]
 
+#print finrank_eq_one /-
 /-- If there is a nonzero vector and every other vector is a multiple of it,
 then the module has dimension one. -/
 theorem finrank_eq_one (v : V) (n : v ≠ 0) (h : ∀ w : V, ∃ c : K, c • v = w) : finrank K V = 1 :=
@@ -548,7 +599,9 @@ theorem finrank_eq_one (v : V) (n : v ≠ 0) (h : ∀ w : V, ∃ c : K, c • v
   obtain ⟨b⟩ := (Basis.basis_singleton_iff PUnit).mpr ⟨v, n, h⟩
   rw [finrank_eq_card_basis b, Fintype.card_punit]
 #align finrank_eq_one finrank_eq_one
+-/
 
+#print finrank_le_one /-
 /-- If every vector is a multiple of some `v : V`, then `V` has dimension at most one.
 -/
 theorem finrank_le_one (v : V) (h : ∀ w : V, ∃ c : K, c • v = w) : finrank K V ≤ 1 :=
@@ -560,6 +613,7 @@ theorem finrank_le_one (v : V) (h : ∀ w : V, ∃ c : K, c • v = w) : finrank
     exact zero_le_one
   · exact (finrank_eq_one v hn h).le
 #align finrank_le_one finrank_le_one
+-/
 
 end finrank_eq_one
 
@@ -569,17 +623,21 @@ open Module
 
 variable {F E : Type _} [CommRing F] [Ring E] [Algebra F E]
 
+#print Subalgebra.rank_toSubmodule /-
 @[simp]
 theorem Subalgebra.rank_toSubmodule (S : Subalgebra F E) :
     Module.rank F S.toSubmodule = Module.rank F S :=
   rfl
 #align subalgebra.rank_to_submodule Subalgebra.rank_toSubmodule
+-/
 
+#print Subalgebra.finrank_toSubmodule /-
 @[simp]
 theorem Subalgebra.finrank_toSubmodule (S : Subalgebra F E) :
     finrank F S.toSubmodule = finrank F S :=
   rfl
 #align subalgebra.finrank_to_submodule Subalgebra.finrank_toSubmodule
+-/
 
 #print subalgebra_top_rank_eq_submodule_top_rank /-
 theorem subalgebra_top_rank_eq_submodule_top_rank :
@@ -588,10 +646,12 @@ theorem subalgebra_top_rank_eq_submodule_top_rank :
 #align subalgebra_top_rank_eq_submodule_top_rank subalgebra_top_rank_eq_submodule_top_rank
 -/
 
+#print subalgebra_top_finrank_eq_submodule_top_finrank /-
 theorem subalgebra_top_finrank_eq_submodule_top_finrank :
     finrank F (⊤ : Subalgebra F E) = finrank F (⊤ : Submodule F E) := by
   rw [← Algebra.top_toSubmodule]; rfl
 #align subalgebra_top_finrank_eq_submodule_top_finrank subalgebra_top_finrank_eq_submodule_top_finrank
+-/
 
 #print Subalgebra.rank_top /-
 theorem Subalgebra.rank_top : Module.rank F (⊤ : Subalgebra F E) = Module.rank F E := by
@@ -603,6 +663,7 @@ section
 
 variable [StrongRankCondition F] [NoZeroSMulDivisors F E] [Nontrivial E]
 
+#print Subalgebra.rank_bot /-
 @[simp]
 theorem Subalgebra.rank_bot : Module.rank F (⊥ : Subalgebra F E) = 1 :=
   ((Subalgebra.toSubmoduleEquiv (⊥ : Subalgebra F E)).symm.trans <|
@@ -612,11 +673,14 @@ theorem Subalgebra.rank_bot : Module.rank F (⊥ : Subalgebra F E) = 1 :=
     rw [rank_span_set]
     exacts [mk_singleton _, linearIndependent_singleton one_ne_zero]
 #align subalgebra.rank_bot Subalgebra.rank_bot
+-/
 
+#print Subalgebra.finrank_bot /-
 @[simp]
 theorem Subalgebra.finrank_bot : finrank F (⊥ : Subalgebra F E) = 1 :=
   finrank_eq_of_rank_eq (by simp)
 #align subalgebra.finrank_bot Subalgebra.finrank_bot
+-/
 
 end
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/7e5137f579de09a059a5ce98f364a04e221aabf0

@@ -355,7 +355,6 @@ theorem finrank_span_finset_le_card (s : Finset V) : (s : Set V).finrank K ≤ s
   calc
     (s : Set V).finrank K ≤ (s : Set V).toFinset.card := finrank_span_le_card s
     _ = s.card := by simp
-    
 #align finrank_span_finset_le_card finrank_span_finset_le_card
 -/
 
@@ -435,7 +434,6 @@ theorem linearIndependent_of_top_le_span_of_card_eq_finrank {ι : Type _} [Finty
         _ = (finset.univ.erase i).card := (congr_arg Finset.card (Finset.ext (by simp [and_comm'])))
         _ < finset.univ.card := (Finset.card_erase_lt_of_mem (Finset.mem_univ i))
         _ = finrank K V := card_eq
-        
     -- We already have that `b '' univ` spans the whole space,
     -- so we only need to show that the span of `b '' (univ \ {i})` contains each `b j`.
     refine' spans.trans (span_le.mpr _)
@@ -461,7 +459,6 @@ theorem linearIndependent_of_top_le_span_of_card_eq_finrank {ι : Type _} [Finty
         by rw [smul_add, ← mul_smul, inv_mul_cancel gx_ne_zero, one_smul]
       _ = (g i)⁻¹ • 0 := (congr_arg _ _)
       _ = 0 := smul_zero _
-      
     -- And then it's just a bit of manipulation with finite sums.
     rwa [← Finset.insert_erase i_mem_s, Finset.sum_insert (Finset.not_mem_erase _ _)] at dependent 
 #align linear_independent_of_top_le_span_of_card_eq_finrank linearIndependent_of_top_le_span_of_card_eq_finrank

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

@@ -69,7 +69,7 @@ noncomputable def finrank (R V : Type _) [Semiring R] [AddCommGroup V] [Module R
 
 theorem finrank_eq_of_rank_eq {n : ℕ} (h : Module.rank K V = ↑n) : finrank K V = n :=
   by
-  apply_fun toNat  at h 
+  apply_fun toNat at h 
   rw [to_nat_cast] at h 
   exact_mod_cast h
 #align finite_dimensional.finrank_eq_of_rank_eq FiniteDimensional.finrank_eq_of_rank_eq
@@ -490,7 +490,7 @@ theorem linearIndependent_iff_card_eq_finrank_span {ι : Type _} [Fintype ι] {b
         rw [h]
       simpa [mem_map] using hx
     have hi : f.ker = ⊥ := ker_subtype _
-    convert(linearIndependent_of_top_le_span_of_card_eq_finrank hs hc).map' _ hi
+    convert (linearIndependent_of_top_le_span_of_card_eq_finrank hs hc).map' _ hi
 #align linear_independent_iff_card_eq_finrank_span linearIndependent_iff_card_eq_finrank_span
 
 theorem linearIndependent_iff_card_le_finrank_span {ι : Type _} [Fintype ι] {b : ι → V} :

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

@@ -69,21 +69,21 @@ noncomputable def finrank (R V : Type _) [Semiring R] [AddCommGroup V] [Module R
 
 theorem finrank_eq_of_rank_eq {n : ℕ} (h : Module.rank K V = ↑n) : finrank K V = n :=
   by
-  apply_fun toNat  at h
-  rw [to_nat_cast] at h
+  apply_fun toNat  at h 
+  rw [to_nat_cast] at h 
   exact_mod_cast h
 #align finite_dimensional.finrank_eq_of_rank_eq FiniteDimensional.finrank_eq_of_rank_eq
 
 theorem finrank_le_of_rank_le {n : ℕ} (h : Module.rank K V ≤ ↑n) : finrank K V ≤ n :=
   by
-  rwa [← Cardinal.toNat_le_iff_le_of_lt_aleph0, to_nat_cast] at h
+  rwa [← Cardinal.toNat_le_iff_le_of_lt_aleph0, to_nat_cast] at h 
   · exact h.trans_lt (nat_lt_aleph_0 n)
   · exact nat_lt_aleph_0 n
 #align finite_dimensional.finrank_le_of_rank_le FiniteDimensional.finrank_le_of_rank_le
 
 theorem finrank_lt_of_rank_lt {n : ℕ} (h : Module.rank K V < ↑n) : finrank K V < n :=
   by
-  rwa [← Cardinal.toNat_lt_iff_lt_of_lt_aleph0, to_nat_cast] at h
+  rwa [← Cardinal.toNat_lt_iff_lt_of_lt_aleph0, to_nat_cast] at h 
   · exact h.trans (nat_lt_aleph_0 n)
   · exact nat_lt_aleph_0 n
 #align finite_dimensional.finrank_lt_of_rank_lt FiniteDimensional.finrank_lt_of_rank_lt
@@ -230,7 +230,7 @@ theorem finrank_eq_zero_of_not_exists_basis
 
 #print finrank_eq_zero_of_not_exists_basis_finite /-
 theorem finrank_eq_zero_of_not_exists_basis_finite
-    (h : ¬∃ (s : Set V)(b : Basis.{v} (s : Set V) K V), s.Finite) : finrank K V = 0 :=
+    (h : ¬∃ (s : Set V) (b : Basis.{v} (s : Set V) K V), s.Finite) : finrank K V = 0 :=
   finrank_eq_zero_of_basis_imp_not_finite fun s b hs => h ⟨s, b, hs⟩
 #align finrank_eq_zero_of_not_exists_basis_finite finrank_eq_zero_of_not_exists_basis_finite
 -/
@@ -317,7 +317,7 @@ theorem lt_of_le_of_finrank_lt_finrank {s t : Submodule K V} (le : s ≤ t)
 
 theorem lt_top_of_finrank_lt_finrank {s : Submodule K V} (lt : finrank K s < finrank K V) : s < ⊤ :=
   by
-  rw [← finrank_top K V] at lt
+  rw [← finrank_top K V] at lt 
   exact lt_of_le_of_finrank_lt_finrank le_top lt
 #align submodule.lt_top_of_finrank_lt_finrank Submodule.lt_top_of_finrank_lt_finrank
 
@@ -370,7 +370,7 @@ theorem finrank_span_eq_card {ι : Type _} [Fintype ι] {b : ι → V} (hb : Lin
     (by
       have : Module.rank K (span K (Set.range b)) = (#Set.range b) := rank_span hb
       rwa [← lift_inj, mk_range_eq_of_injective hb.injective, Cardinal.mk_fintype, lift_nat_cast,
-        lift_eq_nat_iff] at this)
+        lift_eq_nat_iff] at this )
 #align finrank_span_eq_card finrank_span_eq_card
 
 #print finrank_span_set_eq_card /-
@@ -379,7 +379,7 @@ theorem finrank_span_set_eq_card (s : Set V) [Fintype s] (hs : LinearIndependent
   finrank_eq_of_rank_eq
     (by
       have : Module.rank K (span K s) = (#s) := rank_span_set hs
-      rwa [Cardinal.mk_fintype, ← Set.toFinset_card] at this)
+      rwa [Cardinal.mk_fintype, ← Set.toFinset_card] at this )
 #align finrank_span_set_eq_card finrank_span_set_eq_card
 -/
 
@@ -463,7 +463,7 @@ theorem linearIndependent_of_top_le_span_of_card_eq_finrank {ι : Type _} [Finty
       _ = 0 := smul_zero _
       
     -- And then it's just a bit of manipulation with finite sums.
-    rwa [← Finset.insert_erase i_mem_s, Finset.sum_insert (Finset.not_mem_erase _ _)] at dependent
+    rwa [← Finset.insert_erase i_mem_s, Finset.sum_insert (Finset.not_mem_erase _ _)] at dependent 
 #align linear_independent_of_top_le_span_of_card_eq_finrank linearIndependent_of_top_le_span_of_card_eq_finrank
 
 /-- A finite family of vectors is linearly independent if and only if
@@ -482,7 +482,7 @@ theorem linearIndependent_iff_card_eq_finrank_span {ι : Type _} [Fintype ι] {b
       intro x
       have h : span K (f '' Set.range b') = map f (span K (Set.range b')) := span_image f
       have hf : f '' Set.range b' = Set.range b := by ext x; simp [Set.mem_image, Set.mem_range]
-      rw [hf] at h
+      rw [hf] at h 
       have hx : (x : V) ∈ span K (Set.range b) := x.property
       conv at hx =>
         congr
@@ -613,7 +613,7 @@ theorem Subalgebra.rank_bot : Module.rank F (⊥ : Subalgebra F E) = 1 :=
     by
     letI := Module.nontrivial F E
     rw [rank_span_set]
-    exacts[mk_singleton _, linearIndependent_singleton one_ne_zero]
+    exacts [mk_singleton _, linearIndependent_singleton one_ne_zero]
 #align subalgebra.rank_bot Subalgebra.rank_bot
 
 @[simp]

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

@@ -40,7 +40,7 @@ You should not assume that there has been any effort to state lemmas as generall
 
 universe u v v' w
 
-open Classical Cardinal
+open scoped Classical Cardinal
 
 open Cardinal Submodule Module Function
 
@@ -97,11 +97,13 @@ theorem rank_lt_of_finrank_lt {n : ℕ} (h : n < finrank K V) : ↑n < Module.ra
     exact n.zero_le
 #align finite_dimensional.rank_lt_of_finrank_lt FiniteDimensional.rank_lt_of_finrank_lt
 
+#print FiniteDimensional.finrank_le_finrank_of_rank_le_rank /-
 theorem finrank_le_finrank_of_rank_le_rank
     (h : lift.{v'} (Module.rank K V) ≤ Cardinal.lift.{v} (Module.rank K V₂))
     (h' : Module.rank K V₂ < ℵ₀) : finrank K V ≤ finrank K V₂ := by
   simpa only [to_nat_lift] using to_nat_le_of_le_of_lt_aleph_0 (lift_lt_aleph_0.mpr h') h
 #align finite_dimensional.finrank_le_finrank_of_rank_le_rank FiniteDimensional.finrank_le_finrank_of_rank_le_rank
+-/
 
 section
 

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

@@ -67,12 +67,6 @@ noncomputable def finrank (R V : Type _) [Semiring R] [AddCommGroup V] [Module R
 #align finite_dimensional.finrank FiniteDimensional.finrank
 -/
 
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-Case conversion may be inaccurate. Consider using '#align finite_dimensional.finrank_eq_of_rank_eq FiniteDimensional.finrank_eq_of_rank_eqₓ'. -/
 theorem finrank_eq_of_rank_eq {n : ℕ} (h : Module.rank K V = ↑n) : finrank K V = n :=
   by
   apply_fun toNat  at h
@@ -80,12 +74,6 @@ theorem finrank_eq_of_rank_eq {n : ℕ} (h : Module.rank K V = ↑n) : finrank K
   exact_mod_cast h
 #align finite_dimensional.finrank_eq_of_rank_eq FiniteDimensional.finrank_eq_of_rank_eq
 
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-Case conversion may be inaccurate. Consider using '#align finite_dimensional.finrank_le_of_rank_le FiniteDimensional.finrank_le_of_rank_leₓ'. -/
 theorem finrank_le_of_rank_le {n : ℕ} (h : Module.rank K V ≤ ↑n) : finrank K V ≤ n :=
   by
   rwa [← Cardinal.toNat_le_iff_le_of_lt_aleph0, to_nat_cast] at h
@@ -93,12 +81,6 @@ theorem finrank_le_of_rank_le {n : ℕ} (h : Module.rank K V ≤ ↑n) : finrank
   · exact nat_lt_aleph_0 n
 #align finite_dimensional.finrank_le_of_rank_le FiniteDimensional.finrank_le_of_rank_le
 
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-Case conversion may be inaccurate. Consider using '#align finite_dimensional.finrank_lt_of_rank_lt FiniteDimensional.finrank_lt_of_rank_ltₓ'. -/
 theorem finrank_lt_of_rank_lt {n : ℕ} (h : Module.rank K V < ↑n) : finrank K V < n :=
   by
   rwa [← Cardinal.toNat_lt_iff_lt_of_lt_aleph0, to_nat_cast] at h
@@ -106,12 +88,6 @@ theorem finrank_lt_of_rank_lt {n : ℕ} (h : Module.rank K V < ↑n) : finrank K
   · exact nat_lt_aleph_0 n
 #align finite_dimensional.finrank_lt_of_rank_lt FiniteDimensional.finrank_lt_of_rank_lt
 
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 theorem rank_lt_of_finrank_lt {n : ℕ} (h : n < finrank K V) : ↑n < Module.rank K V :=
   by
   rwa [← Cardinal.toNat_lt_iff_lt_of_lt_aleph0, to_nat_cast]
@@ -121,12 +97,6 @@ theorem rank_lt_of_finrank_lt {n : ℕ} (h : n < finrank K V) : ↑n < Module.ra
     exact n.zero_le
 #align finite_dimensional.rank_lt_of_finrank_lt FiniteDimensional.rank_lt_of_finrank_lt
 
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 theorem finrank_le_finrank_of_rank_le_rank
     (h : lift.{v'} (Module.rank K V) ≤ Cardinal.lift.{v} (Module.rank K V₂))
     (h' : Module.rank K V₂ < ℵ₀) : finrank K V ≤ finrank K V₂ := by
@@ -137,35 +107,17 @@ section
 
 variable [Nontrivial K] [NoZeroSMulDivisors K V]
 
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 /-- A finite dimensional space is nontrivial if it has positive `finrank`. -/
 theorem nontrivial_of_finrank_pos (h : 0 < finrank K V) : Nontrivial V :=
   rank_pos_iff_nontrivial.mp (rank_lt_of_finrank_lt h)
 #align finite_dimensional.nontrivial_of_finrank_pos FiniteDimensional.nontrivial_of_finrank_pos
 
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 /-- A finite dimensional space is nontrivial if it has `finrank` equal to the successor of a
 natural number. -/
 theorem nontrivial_of_finrank_eq_succ {n : ℕ} (hn : finrank K V = n.succ) : Nontrivial V :=
   nontrivial_of_finrank_pos (by rw [hn] <;> exact n.succ_pos)
 #align finite_dimensional.nontrivial_of_finrank_eq_succ FiniteDimensional.nontrivial_of_finrank_eq_succ
 
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 /-- A (finite dimensional) space that is a subsingleton has zero `finrank`. -/
 theorem finrank_zero_of_subsingleton [h : Subsingleton V] : finrank K V = 0 :=
   by
@@ -300,20 +252,11 @@ variable {R M M₂ : Type _} [Ring R] [AddCommGroup M] [AddCommGroup M₂]
 
 variable [Module R M] [Module R M₂]
 
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 /-- The dimension of a finite dimensional space is preserved under linear equivalence. -/
 theorem finrank_eq (f : M ≃ₗ[R] M₂) : finrank R M = finrank R M₂ := by unfold finrank;
   rw [← Cardinal.toNat_lift, f.lift_rank_eq, Cardinal.toNat_lift]
 #align linear_equiv.finrank_eq LinearEquiv.finrank_eq
 
-/- warning: linear_equiv.finrank_map_eq -> LinearEquiv.finrank_map_eq is a dubious translation:
-<too large>
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 /-- Pushforwards of finite-dimensional submodules along a `linear_equiv` have the same finrank. -/
 theorem finrank_map_eq (f : M ≃ₗ[R] M₂) (p : Submodule R M) :
     finrank R (p.map (f : M →ₗ[R] M₂)) = finrank R p :=
@@ -330,9 +273,6 @@ section Ring
 
 variable [Ring K] [AddCommGroup V] [Module K V] {V₂ : Type v'} [AddCommGroup V₂] [Module K V₂]
 
-/- warning: linear_map.finrank_range_of_inj -> LinearMap.finrank_range_of_inj is a dubious translation:
-<too large>
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 /-- The dimensions of the domain and range of an injective linear map are equal. -/
 theorem finrank_range_of_inj {f : V →ₗ[K] V₂} (hf : Function.Injective f) :
     finrank K f.range = finrank K V := by rw [(LinearEquiv.ofInjective f hf).finrank_eq]
@@ -350,23 +290,11 @@ variable [Ring K] [AddCommGroup V] [Module K V]
 
 variable (K V)
 
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 @[simp]
 theorem finrank_bot [Nontrivial K] : finrank K (⊥ : Submodule K V) = 0 :=
   finrank_eq_of_rank_eq (rank_bot _ _)
 #align finrank_bot finrank_bot
 
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 @[simp]
 theorem finrank_top : finrank K (⊤ : Submodule K V) = finrank K V := by unfold finrank;
   simp [rank_top]
@@ -380,23 +308,11 @@ section Ring
 
 variable [Ring K] [AddCommGroup V] [Module K V] {V₂ : Type v'} [AddCommGroup V₂] [Module K V₂]
 
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 theorem lt_of_le_of_finrank_lt_finrank {s t : Submodule K V} (le : s ≤ t)
     (lt : finrank K s < finrank K t) : s < t :=
   lt_of_le_of_ne le fun h => ne_of_lt lt (by rw [h])
 #align submodule.lt_of_le_of_finrank_lt_finrank Submodule.lt_of_le_of_finrank_lt_finrank
 
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 theorem lt_top_of_finrank_lt_finrank {s : Submodule K V} (lt : finrank K s < finrank K V) : s < ⊤ :=
   by
   rw [← finrank_top K V] at lt
@@ -441,23 +357,11 @@ theorem finrank_span_finset_le_card (s : Finset V) : (s : Set V).finrank K ≤ s
 #align finrank_span_finset_le_card finrank_span_finset_le_card
 -/
 
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 theorem finrank_range_le_card {ι : Type _} [Fintype ι] {b : ι → V} :
     (Set.range b).finrank K ≤ Fintype.card ι :=
   (finrank_span_le_card _).trans <| by rw [Set.toFinset_range]; exact Finset.card_image_le
 #align finrank_range_le_card finrank_range_le_card
 
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 theorem finrank_span_eq_card {ι : Type _} [Fintype ι] {b : ι → V} (hb : LinearIndependent K b) :
     finrank K (span K (Set.range b)) = Fintype.card ι :=
   finrank_eq_of_rank_eq
@@ -487,24 +391,12 @@ theorem finrank_span_finset_eq_card (s : Finset V) (hs : LinearIndependent K (co
 #align finrank_span_finset_eq_card finrank_span_finset_eq_card
 -/
 
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 theorem span_lt_of_subset_of_card_lt_finrank {s : Set V} [Fintype s] {t : Submodule K V}
     (subset : s ⊆ t) (card_lt : s.toFinset.card < finrank K t) : span K s < t :=
   lt_of_le_of_finrank_lt_finrank (span_le.mpr subset)
     (lt_of_le_of_lt (finrank_span_le_card _) card_lt)
 #align span_lt_of_subset_of_card_lt_finrank span_lt_of_subset_of_card_lt_finrank
 
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-Case conversion may be inaccurate. Consider using '#align span_lt_top_of_card_lt_finrank span_lt_top_of_card_lt_finrankₓ'. -/
 theorem span_lt_top_of_card_lt_finrank {s : Set V} [Fintype s]
     (card_lt : s.toFinset.card < finrank K V) : span K s < ⊤ :=
   lt_top_of_finrank_lt_finrank (lt_of_le_of_lt (finrank_span_le_card _) card_lt)
@@ -520,12 +412,6 @@ section DivisionRing
 
 variable [DivisionRing K] [AddCommGroup V] [Module K V]
 
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-Case conversion may be inaccurate. Consider using '#align linear_independent_of_top_le_span_of_card_eq_finrank linearIndependent_of_top_le_span_of_card_eq_finrankₓ'. -/
 theorem linearIndependent_of_top_le_span_of_card_eq_finrank {ι : Type _} [Fintype ι] {b : ι → V}
     (spans : ⊤ ≤ span K (Set.range b)) (card_eq : Fintype.card ι = finrank K V) :
     LinearIndependent K b :=
@@ -578,12 +464,6 @@ theorem linearIndependent_of_top_le_span_of_card_eq_finrank {ι : Type _} [Finty
     rwa [← Finset.insert_erase i_mem_s, Finset.sum_insert (Finset.not_mem_erase _ _)] at dependent
 #align linear_independent_of_top_le_span_of_card_eq_finrank linearIndependent_of_top_le_span_of_card_eq_finrank
 
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-Case conversion may be inaccurate. Consider using '#align linear_independent_iff_card_eq_finrank_span linearIndependent_iff_card_eq_finrank_spanₓ'. -/
 /-- A finite family of vectors is linearly independent if and only if
 its cardinality equals the dimension of its span. -/
 theorem linearIndependent_iff_card_eq_finrank_span {ι : Type _} [Fintype ι] {b : ι → V} :
@@ -611,35 +491,17 @@ theorem linearIndependent_iff_card_eq_finrank_span {ι : Type _} [Fintype ι] {b
     convert(linearIndependent_of_top_le_span_of_card_eq_finrank hs hc).map' _ hi
 #align linear_independent_iff_card_eq_finrank_span linearIndependent_iff_card_eq_finrank_span
 
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 theorem linearIndependent_iff_card_le_finrank_span {ι : Type _} [Fintype ι] {b : ι → V} :
     LinearIndependent K b ↔ Fintype.card ι ≤ (Set.range b).finrank K := by
   rw [linearIndependent_iff_card_eq_finrank_span, finrank_range_le_card.le_iff_eq]
 #align linear_independent_iff_card_le_finrank_span linearIndependent_iff_card_le_finrank_span
 
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 /-- A family of `finrank K V` vectors forms a basis if they span the whole space. -/
 noncomputable def basisOfTopLeSpanOfCardEqFinrank {ι : Type _} [Fintype ι] (b : ι → V)
     (le_span : ⊤ ≤ span K (Set.range b)) (card_eq : Fintype.card ι = finrank K V) : Basis ι K V :=
   Basis.mk (linearIndependent_of_top_le_span_of_card_eq_finrank le_span card_eq) le_span
 #align basis_of_top_le_span_of_card_eq_finrank basisOfTopLeSpanOfCardEqFinrank
 
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 @[simp]
 theorem coe_basisOfTopLeSpanOfCardEqFinrank {ι : Type _} [Fintype ι] (b : ι → V)
     (le_span : ⊤ ≤ span K (Set.range b)) (card_eq : Fintype.card ι = finrank K V) :
@@ -647,12 +509,6 @@ theorem coe_basisOfTopLeSpanOfCardEqFinrank {ι : Type _} [Fintype ι] (b : ι 
   Basis.coe_mk _ _
 #align coe_basis_of_top_le_span_of_card_eq_finrank coe_basisOfTopLeSpanOfCardEqFinrank
 
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 /-- A finset of `finrank K V` vectors forms a basis if they span the whole space. -/
 @[simps repr_apply]
 noncomputable def finsetBasisOfTopLeSpanOfCardEqFinrank {s : Finset V}
@@ -662,12 +518,6 @@ noncomputable def finsetBasisOfTopLeSpanOfCardEqFinrank {s : Finset V}
     (trans (Fintype.card_coe _) card_eq)
 #align finset_basis_of_top_le_span_of_card_eq_finrank finsetBasisOfTopLeSpanOfCardEqFinrank
 
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 /-- A set of `finrank K V` vectors forms a basis if they span the whole space. -/
 @[simps repr_apply]
 noncomputable def setBasisOfTopLeSpanOfCardEqFinrank {s : Set V} [Fintype s]
@@ -691,12 +541,6 @@ variable [Ring K] [AddCommGroup V] [Module K V]
 
 variable [NoZeroSMulDivisors K V] [StrongRankCondition K]
 
-/- warning: finrank_eq_one -> finrank_eq_one is a dubious translation:
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-  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] [_inst_4 : NoZeroSMulDivisors.{u1, u2} K V (MulZeroClass.toHasZero.{u1} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K _inst_1))))) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (SubNegMonoid.toAddMonoid.{u2} V (AddGroup.toSubNegMonoid.{u2} V (AddCommGroup.toAddGroup.{u2} V _inst_2))))) (SMulZeroClass.toHasSmul.{u1, u2} K V (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} K V (MulZeroClass.toHasZero.{u1} K (MulZeroOneClass.toMulZeroClass.{u1} K (MonoidWithZero.toMulZeroOneClass.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))))) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} K V (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1)) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (Module.toMulActionWithZero.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))] [_inst_5 : StrongRankCondition.{u1} K (Ring.toSemiring.{u1} K _inst_1)] (v : V), (Ne.{succ u2} V v (OfNat.ofNat.{u2} V 0 (OfNat.mk.{u2} V 0 (Zero.zero.{u2} V (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (SubNegMonoid.toAddMonoid.{u2} V (AddGroup.toSubNegMonoid.{u2} V (AddCommGroup.toAddGroup.{u2} V _inst_2))))))))) -> (forall (w : V), Exists.{succ u1} K (fun (c : K) => Eq.{succ u2} V (SMul.smul.{u1, u2} K V (SMulZeroClass.toHasSmul.{u1, u2} K V (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} K V (MulZeroClass.toHasZero.{u1} K (MulZeroOneClass.toMulZeroClass.{u1} K (MonoidWithZero.toMulZeroOneClass.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))))) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} K V (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1)) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (Module.toMulActionWithZero.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) c v) w)) -> (Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3) (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))
-but is expected to have type
-  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] [_inst_4 : NoZeroSMulDivisors.{u1, u2} K V (MonoidWithZero.toZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} K V (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} K V (MonoidWithZero.toZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} K V (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1)) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (Module.toMulActionWithZero.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))] [_inst_5 : StrongRankCondition.{u1} K (Ring.toSemiring.{u1} K _inst_1)] (v : V), (Ne.{succ u2} V v (OfNat.ofNat.{u2} V 0 (Zero.toOfNat0.{u2} V (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2)))))))) -> (forall (w : V), Exists.{succ u1} K (fun (c : K) => Eq.{succ u2} V (HSMul.hSMul.{u1, u2, u2} K V V (instHSMul.{u1, u2} K V (SMulZeroClass.toSMul.{u1, u2} K V (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} K V (MonoidWithZero.toZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} K V (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1)) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (Module.toMulActionWithZero.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))) c v) w)) -> (Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))
-Case conversion may be inaccurate. Consider using '#align finrank_eq_one finrank_eq_oneₓ'. -/
 /-- If there is a nonzero vector and every other vector is a multiple of it,
 then the module has dimension one. -/
 theorem finrank_eq_one (v : V) (n : v ≠ 0) (h : ∀ w : V, ∃ c : K, c • v = w) : finrank K V = 1 :=
@@ -706,12 +550,6 @@ theorem finrank_eq_one (v : V) (n : v ≠ 0) (h : ∀ w : V, ∃ c : K, c • v
   rw [finrank_eq_card_basis b, Fintype.card_punit]
 #align finrank_eq_one finrank_eq_one
 
-/- warning: finrank_le_one -> finrank_le_one is a dubious translation:
-lean 3 declaration is
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-but is expected to have type
-  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] [_inst_4 : NoZeroSMulDivisors.{u1, u2} K V (MonoidWithZero.toZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} K V (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} K V (MonoidWithZero.toZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} K V (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1)) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (Module.toMulActionWithZero.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))] [_inst_5 : StrongRankCondition.{u1} K (Ring.toSemiring.{u1} K _inst_1)] (v : V), (forall (w : V), Exists.{succ u1} K (fun (c : K) => Eq.{succ u2} V (HSMul.hSMul.{u1, u2, u2} K V V (instHSMul.{u1, u2} K V (SMulZeroClass.toSMul.{u1, u2} K V (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} K V (MonoidWithZero.toZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} K V (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1)) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (Module.toMulActionWithZero.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))) c v) w)) -> (LE.le.{0} Nat instLENat (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))
-Case conversion may be inaccurate. Consider using '#align finrank_le_one finrank_le_oneₓ'. -/
 /-- If every vector is a multiple of some `v : V`, then `V` has dimension at most one.
 -/
 theorem finrank_le_one (v : V) (h : ∀ w : V, ∃ c : K, c • v = w) : finrank K V ≤ 1 :=
@@ -732,18 +570,12 @@ open Module
 
 variable {F E : Type _} [CommRing F] [Ring E] [Algebra F E]
 
-/- warning: subalgebra.rank_to_submodule -> Subalgebra.rank_toSubmodule is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align subalgebra.rank_to_submodule Subalgebra.rank_toSubmoduleₓ'. -/
 @[simp]
 theorem Subalgebra.rank_toSubmodule (S : Subalgebra F E) :
     Module.rank F S.toSubmodule = Module.rank F S :=
   rfl
 #align subalgebra.rank_to_submodule Subalgebra.rank_toSubmodule
 
-/- warning: subalgebra.finrank_to_submodule -> Subalgebra.finrank_toSubmodule is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align subalgebra.finrank_to_submodule Subalgebra.finrank_toSubmoduleₓ'. -/
 @[simp]
 theorem Subalgebra.finrank_toSubmodule (S : Subalgebra F E) :
     finrank F S.toSubmodule = finrank F S :=
@@ -757,9 +589,6 @@ theorem subalgebra_top_rank_eq_submodule_top_rank :
 #align subalgebra_top_rank_eq_submodule_top_rank subalgebra_top_rank_eq_submodule_top_rank
 -/
 
-/- warning: subalgebra_top_finrank_eq_submodule_top_finrank -> subalgebra_top_finrank_eq_submodule_top_finrank is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align subalgebra_top_finrank_eq_submodule_top_finrank subalgebra_top_finrank_eq_submodule_top_finrankₓ'. -/
 theorem subalgebra_top_finrank_eq_submodule_top_finrank :
     finrank F (⊤ : Subalgebra F E) = finrank F (⊤ : Submodule F E) := by
   rw [← Algebra.top_toSubmodule]; rfl
@@ -775,9 +604,6 @@ section
 
 variable [StrongRankCondition F] [NoZeroSMulDivisors F E] [Nontrivial E]
 
-/- warning: subalgebra.rank_bot -> Subalgebra.rank_bot is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align subalgebra.rank_bot Subalgebra.rank_botₓ'. -/
 @[simp]
 theorem Subalgebra.rank_bot : Module.rank F (⊥ : Subalgebra F E) = 1 :=
   ((Subalgebra.toSubmoduleEquiv (⊥ : Subalgebra F E)).symm.trans <|
@@ -788,9 +614,6 @@ theorem Subalgebra.rank_bot : Module.rank F (⊥ : Subalgebra F E) = 1 :=
     exacts[mk_singleton _, linearIndependent_singleton one_ne_zero]
 #align subalgebra.rank_bot Subalgebra.rank_bot
 
-/- warning: subalgebra.finrank_bot -> Subalgebra.finrank_bot is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align subalgebra.finrank_bot Subalgebra.finrank_botₓ'. -/
 @[simp]
 theorem Subalgebra.finrank_bot : finrank F (⊥ : Subalgebra F E) = 1 :=
   finrank_eq_of_rank_eq (by simp)

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

@@ -263,11 +263,7 @@ theorem finrank_eq_zero_of_basis_imp_not_finite
 #print finrank_eq_zero_of_basis_imp_false /-
 theorem finrank_eq_zero_of_basis_imp_false (h : ∀ s : Finset V, Basis.{v} (s : Set V) K V → False) :
     finrank K V = 0 :=
-  finrank_eq_zero_of_basis_imp_not_finite fun s b hs =>
-    h hs.toFinset
-      (by
-        convert b
-        simp)
+  finrank_eq_zero_of_basis_imp_not_finite fun s b hs => h hs.toFinset (by convert b; simp)
 #align finrank_eq_zero_of_basis_imp_false finrank_eq_zero_of_basis_imp_false
 -/
 
@@ -311,9 +307,7 @@ but is expected to have type
   forall {R : Type.{u3}} {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_6 : Ring.{u3} R] [_inst_7 : AddCommGroup.{u2} M] [_inst_8 : AddCommGroup.{u1} M₂] [_inst_9 : Module.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7)] [_inst_10 : Module.{u3, u1} R M₂ (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8)], (LinearEquiv.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10) -> (Eq.{1} Nat (FiniteDimensional.finrank.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) _inst_7 _inst_9) (FiniteDimensional.finrank.{u3, u1} R M₂ (Ring.toSemiring.{u3} R _inst_6) _inst_8 _inst_10))
 Case conversion may be inaccurate. Consider using '#align linear_equiv.finrank_eq LinearEquiv.finrank_eqₓ'. -/
 /-- The dimension of a finite dimensional space is preserved under linear equivalence. -/
-theorem finrank_eq (f : M ≃ₗ[R] M₂) : finrank R M = finrank R M₂ :=
-  by
-  unfold finrank
+theorem finrank_eq (f : M ≃ₗ[R] M₂) : finrank R M = finrank R M₂ := by unfold finrank;
   rw [← Cardinal.toNat_lift, f.lift_rank_eq, Cardinal.toNat_lift]
 #align linear_equiv.finrank_eq LinearEquiv.finrank_eq
 
@@ -374,9 +368,7 @@ but is expected to have type
   forall (K : Type.{u1}) (V : Type.{u2}) [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)], Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} K (Subtype.{succ u2} V (fun (x : V) => Membership.mem.{u2, u2} V (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) x (Top.top.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.instTopSubmodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) (Ring.toSemiring.{u1} K _inst_1) (Submodule.addCommGroup.{u1, u2} K V _inst_1 _inst_2 _inst_3 (Top.top.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.instTopSubmodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))) (Submodule.module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 (Top.top.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.instTopSubmodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3)
 Case conversion may be inaccurate. Consider using '#align finrank_top finrank_topₓ'. -/
 @[simp]
-theorem finrank_top : finrank K (⊤ : Submodule K V) = finrank K V :=
-  by
-  unfold finrank
+theorem finrank_top : finrank K (⊤ : Submodule K V) = finrank K V := by unfold finrank;
   simp [rank_top]
 #align finrank_top finrank_top
 
@@ -457,9 +449,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align finrank_range_le_card finrank_range_le_cardₓ'. -/
 theorem finrank_range_le_card {ι : Type _} [Fintype ι] {b : ι → V} :
     (Set.range b).finrank K ≤ Fintype.card ι :=
-  (finrank_span_le_card _).trans <| by
-    rw [Set.toFinset_range]
-    exact Finset.card_image_le
+  (finrank_span_le_card _).trans <| by rw [Set.toFinset_range]; exact Finset.card_image_le
 #align finrank_range_le_card finrank_range_le_card
 
 /- warning: finrank_span_eq_card -> finrank_span_eq_card is a dubious translation:
@@ -609,10 +599,7 @@ theorem linearIndependent_iff_card_eq_finrank_span {ι : Type _} [Fintype ι] {b
     have hs : ⊤ ≤ span K (Set.range b') := by
       intro x
       have h : span K (f '' Set.range b') = map f (span K (Set.range b')) := span_image f
-      have hf : f '' Set.range b' = Set.range b :=
-        by
-        ext x
-        simp [Set.mem_image, Set.mem_range]
+      have hf : f '' Set.range b' = Set.range b := by ext x; simp [Set.mem_image, Set.mem_range]
       rw [hf] at h
       have hx : (x : V) ∈ span K (Set.range b) := x.property
       conv at hx =>
@@ -731,11 +718,7 @@ theorem finrank_le_one (v : V) (h : ∀ w : V, ∃ c : K, c • v = w) : finrank
   by
   haveI := nontrivial_of_invariantBasisNumber K
   rcases eq_or_ne v 0 with (rfl | hn)
-  · haveI :=
-      subsingleton_of_forall_eq (0 : V) fun w =>
-        by
-        obtain ⟨c, rfl⟩ := h w
-        simp
+  · haveI := subsingleton_of_forall_eq (0 : V) fun w => by obtain ⟨c, rfl⟩ := h w; simp
     rw [finrank_zero_of_subsingleton]
     exact zero_le_one
   · exact (finrank_eq_one v hn h).le
@@ -769,10 +752,8 @@ theorem Subalgebra.finrank_toSubmodule (S : Subalgebra F E) :
 
 #print subalgebra_top_rank_eq_submodule_top_rank /-
 theorem subalgebra_top_rank_eq_submodule_top_rank :
-    Module.rank F (⊤ : Subalgebra F E) = Module.rank F (⊤ : Submodule F E) :=
-  by
-  rw [← Algebra.top_toSubmodule]
-  rfl
+    Module.rank F (⊤ : Subalgebra F E) = Module.rank F (⊤ : Submodule F E) := by
+  rw [← Algebra.top_toSubmodule]; rfl
 #align subalgebra_top_rank_eq_submodule_top_rank subalgebra_top_rank_eq_submodule_top_rank
 -/
 
@@ -780,17 +761,13 @@ theorem subalgebra_top_rank_eq_submodule_top_rank :
 <too large>
 Case conversion may be inaccurate. Consider using '#align subalgebra_top_finrank_eq_submodule_top_finrank subalgebra_top_finrank_eq_submodule_top_finrankₓ'. -/
 theorem subalgebra_top_finrank_eq_submodule_top_finrank :
-    finrank F (⊤ : Subalgebra F E) = finrank F (⊤ : Submodule F E) :=
-  by
-  rw [← Algebra.top_toSubmodule]
-  rfl
+    finrank F (⊤ : Subalgebra F E) = finrank F (⊤ : Submodule F E) := by
+  rw [← Algebra.top_toSubmodule]; rfl
 #align subalgebra_top_finrank_eq_submodule_top_finrank subalgebra_top_finrank_eq_submodule_top_finrank
 
 #print Subalgebra.rank_top /-
-theorem Subalgebra.rank_top : Module.rank F (⊤ : Subalgebra F E) = Module.rank F E :=
-  by
-  rw [subalgebra_top_rank_eq_submodule_top_rank]
-  exact rank_top F E
+theorem Subalgebra.rank_top : Module.rank F (⊤ : Subalgebra F E) = Module.rank F E := by
+  rw [subalgebra_top_rank_eq_submodule_top_rank]; exact rank_top F E
 #align subalgebra.rank_top Subalgebra.rank_top
 -/
 

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

@@ -318,10 +318,7 @@ theorem finrank_eq (f : M ≃ₗ[R] M₂) : finrank R M = finrank R M₂ :=
 #align linear_equiv.finrank_eq LinearEquiv.finrank_eq
 
 /- warning: linear_equiv.finrank_map_eq -> LinearEquiv.finrank_map_eq is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.finrank_map_eq LinearEquiv.finrank_map_eqₓ'. -/
 /-- Pushforwards of finite-dimensional submodules along a `linear_equiv` have the same finrank. -/
 theorem finrank_map_eq (f : M ≃ₗ[R] M₂) (p : Submodule R M) :
@@ -340,10 +337,7 @@ section Ring
 variable [Ring K] [AddCommGroup V] [Module K V] {V₂ : Type v'} [AddCommGroup V₂] [Module K V₂]
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.finrank_range_of_inj LinearMap.finrank_range_of_injₓ'. -/
 /-- The dimensions of the domain and range of an injective linear map are equal. -/
 theorem finrank_range_of_inj {f : V →ₗ[K] V₂} (hf : Function.Injective f) :
@@ -756,10 +750,7 @@ open Module
 variable {F E : Type _} [CommRing F] [Ring E] [Algebra F E]
 
 /- warning: subalgebra.rank_to_submodule -> Subalgebra.rank_toSubmodule is a dubious translation:
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(Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (NonAssocRing.toNonUnitalNonAssocRing.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Ring.toNonAssocRing.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Subalgebra.toRing.{u2, u1} F E _inst_1 _inst_2 _inst_3 S))))) (Subalgebra.instModuleSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToNonAssocSemiringToSubsemiring.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3 S))
+<too large>
 Case conversion may be inaccurate. Consider using '#align subalgebra.rank_to_submodule Subalgebra.rank_toSubmoduleₓ'. -/
 @[simp]
 theorem Subalgebra.rank_toSubmodule (S : Subalgebra F E) :
@@ -768,10 +759,7 @@ theorem Subalgebra.rank_toSubmodule (S : Subalgebra F E) :
 #align subalgebra.rank_to_submodule Subalgebra.rank_toSubmodule
 
 /- warning: subalgebra.finrank_to_submodule -> Subalgebra.finrank_toSubmodule is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align subalgebra.finrank_to_submodule Subalgebra.finrank_toSubmoduleₓ'. -/
 @[simp]
 theorem Subalgebra.finrank_toSubmodule (S : Subalgebra F E) :
@@ -789,10 +777,7 @@ theorem subalgebra_top_rank_eq_submodule_top_rank :
 -/
 
 /- warning: subalgebra_top_finrank_eq_submodule_top_finrank -> subalgebra_top_finrank_eq_submodule_top_finrank is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align subalgebra_top_finrank_eq_submodule_top_finrank subalgebra_top_finrank_eq_submodule_top_finrankₓ'. -/
 theorem subalgebra_top_finrank_eq_submodule_top_finrank :
     finrank F (⊤ : Subalgebra F E) = finrank F (⊤ : Submodule F E) :=
@@ -814,10 +799,7 @@ section
 variable [StrongRankCondition F] [NoZeroSMulDivisors F E] [Nontrivial E]
 
 /- warning: subalgebra.rank_bot -> Subalgebra.rank_bot is a dubious translation:
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-but is expected to have type
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+<too large>
 Case conversion may be inaccurate. Consider using '#align subalgebra.rank_bot Subalgebra.rank_botₓ'. -/
 @[simp]
 theorem Subalgebra.rank_bot : Module.rank F (⊥ : Subalgebra F E) = 1 :=
@@ -830,10 +812,7 @@ theorem Subalgebra.rank_bot : Module.rank F (⊥ : Subalgebra F E) = 1 :=
 #align subalgebra.rank_bot Subalgebra.rank_bot
 
 /- warning: subalgebra.finrank_bot -> Subalgebra.finrank_bot is a dubious translation:
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_inst_2) _inst_3))))) (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))
-but is expected to have type
-  forall {F : Type.{u2}} {E : Type.{u1}} [_inst_1 : CommRing.{u2} F] [_inst_2 : Ring.{u1} E] [_inst_3 : Algebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2)] [_inst_4 : StrongRankCondition.{u2} F (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1))] [_inst_5 : NoZeroSMulDivisors.{u2, u1} F E (CommMonoidWithZero.toZero.{u2} F (CommSemiring.toCommMonoidWithZero.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1))) (MonoidWithZero.toZero.{u1} E (Semiring.toMonoidWithZero.{u1} E (Ring.toSemiring.{u1} E _inst_2))) (Algebra.toSMul.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)] [_inst_6 : Nontrivial.{u1} E], Eq.{1} Nat (FiniteDimensional.finrank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x (Bot.bot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (CompleteLattice.toBot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (Ring.toAddCommGroup.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x (Bot.bot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (CompleteLattice.toBot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (Subalgebra.toRing.{u2, u1} F E _inst_1 _inst_2 _inst_3 (Bot.bot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (CompleteLattice.toBot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (Subalgebra.instModuleSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToNonAssocSemiringToSubsemiring.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3 (Bot.bot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (CompleteLattice.toBot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))
+<too large>
 Case conversion may be inaccurate. Consider using '#align subalgebra.finrank_bot Subalgebra.finrank_botₓ'. -/
 @[simp]
 theorem Subalgebra.finrank_bot : finrank F (⊥ : Subalgebra F E) = 1 :=

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

@@ -343,7 +343,7 @@ variable [Ring K] [AddCommGroup V] [Module K V] {V₂ : Type v'} [AddCommGroup V
 lean 3 declaration is
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(LinearMap.semilinearMapClass.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) (RingHomSurjective.ids.{u1} K (Ring.toSemiring.{u1} K _inst_1)) f)) (Submodule.module.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5 (LinearMap.range.{u1, u1, u2, u3, max u2 u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K 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 but is expected to have type
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(AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5)) x (LinearMap.range.{u1, u1, u2, u3, max u2 u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) (RingHomSurjective.ids.{u1} K (Ring.toSemiring.{u1} K _inst_1)) f))) (Ring.toSemiring.{u1} K _inst_1) (Submodule.addCommGroup.{u1, u3} K V₂ _inst_1 _inst_4 _inst_5 (LinearMap.range.{u1, u1, u2, u3, max u2 u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) (RingHomSurjective.ids.{u1} K (Ring.toSemiring.{u1} K _inst_1)) f)) (Submodule.module.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5 (LinearMap.range.{u1, u1, u2, u3, max u2 u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) (RingHomSurjective.ids.{u1} K (Ring.toSemiring.{u1} K _inst_1)) f))) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3))
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {V₂ : Type.{u3}} [_inst_4 : AddCommGroup.{u3} V₂] [_inst_5 : Module.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4)] {f : LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5}, (Function.Injective.{succ u2, succ u3} V V₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) V (fun (_x : V) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : V) => V₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) f)) -> (Eq.{1} Nat (FiniteDimensional.finrank.{u1, u3} K (Subtype.{succ u3} V₂ (fun (x : V₂) => Membership.mem.{u3, u3} V₂ (Submodule.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5) (SetLike.instMembership.{u3, u3} (Submodule.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5) V₂ (Submodule.setLike.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5)) x (LinearMap.range.{u1, u1, u2, u3, max u2 u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) (RingHomSurjective.ids.{u1} K (Ring.toSemiring.{u1} K _inst_1)) f))) (Ring.toSemiring.{u1} K _inst_1) (Submodule.addCommGroup.{u1, u3} K V₂ _inst_1 _inst_4 _inst_5 (LinearMap.range.{u1, u1, u2, u3, max u2 u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) (RingHomSurjective.ids.{u1} K (Ring.toSemiring.{u1} K _inst_1)) f)) (Submodule.module.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5 (LinearMap.range.{u1, u1, u2, u3, max u2 u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) (RingHomSurjective.ids.{u1} K (Ring.toSemiring.{u1} K _inst_1)) f))) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3))
 Case conversion may be inaccurate. Consider using '#align linear_map.finrank_range_of_inj LinearMap.finrank_range_of_injₓ'. -/
 /-- The dimensions of the domain and range of an injective linear map are equal. -/
 theorem finrank_range_of_inj {f : V →ₗ[K] V₂} (hf : Function.Injective f) :

mathlib commit https://github.com/leanprover-community/mathlib/commit/95a87616d63b3cb49d3fe678d416fbe9c4217bf4

@@ -759,7 +759,7 @@ variable {F E : Type _} [CommRing F] [Ring E] [Algebra F E]
 lean 3 declaration is
   forall {F : Type.{u1}} {E : Type.{u2}} [_inst_1 : CommRing.{u1} F] [_inst_2 : Ring.{u2} E] [_inst_3 : Algebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2)] (S : Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3), Eq.{succ (succ u2)} Cardinal.{u2} (Module.rank.{u1, u2} F (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) E (Submodule.setLike.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))) (coeFn.{succ u2, succ u2} (OrderEmbedding.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Preorder.toHasLe.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (Preorder.toHasLe.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteSemilatticeInf.toPartialOrder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) 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 but is expected to have type
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(CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Subalgebra.toSubmodule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) S))) (Module.rank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (NonAssocRing.toNonUnitalNonAssocRing.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Ring.toNonAssocRing.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Subalgebra.toRing.{u2, u1} F E _inst_1 _inst_2 _inst_3 S))))) (Subalgebra.instModuleSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToNonAssocSemiringToSubsemiring.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3 S))
+  forall {F : Type.{u2}} {E : Type.{u1}} [_inst_1 : CommRing.{u2} F] [_inst_2 : Ring.{u1} E] [_inst_3 : Algebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2)] (S : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3), Eq.{succ (succ u1)} Cardinal.{u1} (Module.rank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.869 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) S) (SetLike.instMembership.{u1, u1} ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.869 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) S) E (Submodule.setLike.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))) x (FunLike.coe.{succ u1, succ u1, succ u1} (OrderEmbedding.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))))) (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (fun (a : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.869 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) a) (RelHomClass.toFunLike.{u1, u1, u1} (OrderEmbedding.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))))) (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => LE.le.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) 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(Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))))) (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => LE.le.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) => LE.le.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699) (RelEmbedding.instRelHomClassRelEmbedding.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => LE.le.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) => LE.le.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))) (Subalgebra.toSubmodule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) S))) (Module.rank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (NonAssocRing.toNonUnitalNonAssocRing.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Ring.toNonAssocRing.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Subalgebra.toRing.{u2, u1} F E _inst_1 _inst_2 _inst_3 S))))) (Subalgebra.instModuleSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToNonAssocSemiringToSubsemiring.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3 S))
 Case conversion may be inaccurate. Consider using '#align subalgebra.rank_to_submodule Subalgebra.rank_toSubmoduleₓ'. -/
 @[simp]
 theorem Subalgebra.rank_toSubmodule (S : Subalgebra F E) :
@@ -771,7 +771,7 @@ theorem Subalgebra.rank_toSubmodule (S : Subalgebra F E) :
 lean 3 declaration is
   forall {F : Type.{u1}} {E : Type.{u2}} [_inst_1 : CommRing.{u1} F] [_inst_2 : Ring.{u2} E] [_inst_3 : Algebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2)] (S : Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3), Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} F (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) E (Submodule.setLike.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))) (coeFn.{succ u2, succ u2} (OrderEmbedding.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Preorder.toHasLe.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (Preorder.toHasLe.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteSemilatticeInf.toPartialOrder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Submodule.completeLattice.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))))) (fun (_x : RelEmbedding.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (LE.le.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Preorder.toHasLe.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (LE.le.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Preorder.toHasLe.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteSemilatticeInf.toPartialOrder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Submodule.completeLattice.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))))))) => (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) -> (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))) (RelEmbedding.hasCoeToFun.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (LE.le.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Preorder.toHasLe.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (LE.le.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Preorder.toHasLe.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteSemilatticeInf.toPartialOrder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Submodule.completeLattice.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))))))) (Subalgebra.toSubmodule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) S)) (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1)) (Submodule.addCommGroup.{u1, u2} F E (CommRing.toRing.{u1} F _inst_1) (NonUnitalNonAssocRing.toAddCommGroup.{u2} E (NonAssocRing.toNonUnitalNonAssocRing.{u2} E (Ring.toNonAssocRing.{u2} E _inst_2))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (coeFn.{succ u2, succ u2} (OrderEmbedding.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Preorder.toHasLe.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (Preorder.toHasLe.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) 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(Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) -> (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))) (RelEmbedding.hasCoeToFun.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) 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(CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Submodule.completeLattice.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))))))) (Subalgebra.toSubmodule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) S))) (FiniteDimensional.finrank.{u1, u2} F (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) S) (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) S) (NonAssocRing.toNonUnitalNonAssocRing.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) S) (Ring.toNonAssocRing.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) S) (Subalgebra.toRing.{u1, u2} F E _inst_1 _inst_2 _inst_3 S)))) (Subalgebra.module.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3 S))
 but is expected to have type
-  forall {F : Type.{u2}} {E : Type.{u1}} [_inst_1 : CommRing.{u2} F] [_inst_2 : Ring.{u1} E] [_inst_3 : Algebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2)] (S : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3), Eq.{1} Nat (FiniteDimensional.finrank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) S) (SetLike.instMembership.{u1, u1} ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) S) E (Submodule.setLike.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))) x 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(OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) 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(Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) => LE.le.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Subalgebra.toSubmodule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) S))) (FiniteDimensional.finrank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (Ring.toAddCommGroup.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Subalgebra.toRing.{u2, u1} F E _inst_1 _inst_2 _inst_3 S)) (Subalgebra.instModuleSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToNonAssocSemiringToSubsemiring.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3 S))
+  forall {F : Type.{u2}} {E : Type.{u1}} [_inst_1 : CommRing.{u2} F] [_inst_2 : Ring.{u1} E] [_inst_3 : Algebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2)] (S : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3), Eq.{1} Nat (FiniteDimensional.finrank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.869 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) S) (SetLike.instMembership.{u1, u1} ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.869 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) S) E (Submodule.setLike.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))) x (FunLike.coe.{succ u1, succ u1, succ u1} (OrderEmbedding.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))))) (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (fun (a : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.869 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) a) (RelHomClass.toFunLike.{u1, u1, u1} (OrderEmbedding.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))))) (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => LE.le.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) 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(CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E 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(Ring.toSemiring.{u1} E _inst_2) _inst_3))))))) (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => LE.le.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} 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(Ring.toSemiring.{u1} E _inst_2) _inst_3)) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) => LE.le.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699) (RelEmbedding.instRelHomClassRelEmbedding.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => LE.le.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) => LE.le.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))) (Subalgebra.toSubmodule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) S))) (FiniteDimensional.finrank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (Ring.toAddCommGroup.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Subalgebra.toRing.{u2, u1} F E _inst_1 _inst_2 _inst_3 S)) (Subalgebra.instModuleSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToNonAssocSemiringToSubsemiring.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3 S))
 Case conversion may be inaccurate. Consider using '#align subalgebra.finrank_to_submodule Subalgebra.finrank_toSubmoduleₓ'. -/
 @[simp]
 theorem Subalgebra.finrank_toSubmodule (S : Subalgebra F E) :

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

@@ -321,7 +321,7 @@ theorem finrank_eq (f : M ≃ₗ[R] M₂) : finrank R M = finrank R M₂ :=
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} {M₂ : Type.{u3}} [_inst_6 : Ring.{u1} R] [_inst_7 : AddCommGroup.{u2} M] [_inst_8 : AddCommGroup.{u3} M₂] [_inst_9 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7)] [_inst_10 : Module.{u1, u3} R M₂ (Ring.toSemiring.{u1} R _inst_6) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_8)] (f : LinearEquiv.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_6) (Ring.toSemiring.{u1} R _inst_6) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R _inst_6)) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R _inst_6)) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_8) _inst_9 _inst_10) (p : Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M 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M _inst_7) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_8) _inst_9 _inst_10 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R _inst_6)) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R _inst_6)))))) f) p))) (FiniteDimensional.finrank.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) _inst_9) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) _inst_9) M (Submodule.setLike.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) _inst_9)) p) (Ring.toSemiring.{u1} R _inst_6) (Submodule.addCommGroup.{u1, u2} R M _inst_6 _inst_7 _inst_9 p) (Submodule.module.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) _inst_9 p))
 but is expected to have type
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_inst_7) _inst_9), Eq.{1} Nat (FiniteDimensional.finrank.{u3, u1} R (Subtype.{succ u1} M₂ (fun (x : M₂) => Membership.mem.{u1, u1} M₂ (Submodule.{u3, u1} R M₂ (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u3, u1} R M₂ (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_10) M₂ (Submodule.setLike.{u3, u1} R M₂ (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_10)) x (Submodule.map.{u3, u3, u2, u1, max u2 u1} R R M M₂ (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10) (LinearMap.instSemilinearMapClassLinearMap.{u3, u3, u2, u1} R R M M₂ (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6)))) (LinearEquiv.toLinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 f) p))) (Ring.toSemiring.{u3} R _inst_6) (Submodule.addCommGroup.{u3, u1} R M₂ _inst_6 _inst_8 _inst_10 (Submodule.map.{u3, u3, u2, u1, max u2 u1} R R M M₂ (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10) (LinearMap.instSemilinearMapClassLinearMap.{u3, u3, u2, u1} R R M M₂ (Ring.toSemiring.{u3} R 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(Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10) (LinearMap.instSemilinearMapClassLinearMap.{u3, u3, u2, u1} R R M M₂ (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6)))) (LinearEquiv.toLinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 f) p))) (FiniteDimensional.finrank.{u3, u2} R (Subtype.{succ u2} M (fun (x : M) => Membership.mem.{u2, u2} M (Submodule.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) _inst_9) M (Submodule.setLike.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) _inst_9)) x p)) (Ring.toSemiring.{u3} R _inst_6) (Submodule.addCommGroup.{u3, u2} R M _inst_6 _inst_7 _inst_9 p) (Submodule.module.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) _inst_9 p))
+  forall {R : Type.{u3}} {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_6 : Ring.{u3} R] [_inst_7 : AddCommGroup.{u2} M] [_inst_8 : AddCommGroup.{u1} M₂] [_inst_9 : Module.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7)] [_inst_10 : Module.{u3, u1} R M₂ (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8)] (f : LinearEquiv.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10) (p : Submodule.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) _inst_9), Eq.{1} Nat (FiniteDimensional.finrank.{u3, u1} R (Subtype.{succ u1} M₂ (fun (x : M₂) => Membership.mem.{u1, u1} M₂ (Submodule.{u3, u1} R M₂ (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u3, u1} R M₂ (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_10) M₂ (Submodule.setLike.{u3, u1} R M₂ (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_10)) x (Submodule.map.{u3, u3, u2, u1, max u2 u1} R R M M₂ (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10) (LinearMap.semilinearMapClass.{u3, u3, u2, u1} R R M M₂ (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6)))) (LinearEquiv.toLinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 f) p))) (Ring.toSemiring.{u3} R _inst_6) (Submodule.addCommGroup.{u3, u1} R M₂ _inst_6 _inst_8 _inst_10 (Submodule.map.{u3, u3, u2, u1, max u2 u1} R R M M₂ (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10) (LinearMap.semilinearMapClass.{u3, u3, u2, u1} R R M M₂ (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6)))) (LinearEquiv.toLinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 f) p)) (Submodule.module.{u3, u1} R M₂ (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_10 (Submodule.map.{u3, u3, u2, u1, max u2 u1} R R M M₂ (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10) (LinearMap.semilinearMapClass.{u3, u3, u2, u1} R R M M₂ (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6)))) (LinearEquiv.toLinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 f) p))) (FiniteDimensional.finrank.{u3, u2} R (Subtype.{succ u2} M (fun (x : M) => Membership.mem.{u2, u2} M (Submodule.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) _inst_9) M (Submodule.setLike.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) _inst_9)) x p)) (Ring.toSemiring.{u3} R _inst_6) (Submodule.addCommGroup.{u3, u2} R M _inst_6 _inst_7 _inst_9 p) (Submodule.module.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) _inst_9 p))
 Case conversion may be inaccurate. Consider using '#align linear_equiv.finrank_map_eq LinearEquiv.finrank_map_eqₓ'. -/
 /-- Pushforwards of finite-dimensional submodules along a `linear_equiv` have the same finrank. -/
 theorem finrank_map_eq (f : M ≃ₗ[R] M₂) (p : Submodule R M) :
@@ -343,7 +343,7 @@ variable [Ring K] [AddCommGroup V] [Module K V] {V₂ : Type v'} [AddCommGroup V
 lean 3 declaration is
   forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {V₂ : Type.{u3}} [_inst_4 : AddCommGroup.{u3} V₂] [_inst_5 : Module.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4)] {f : LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5}, (Function.Injective.{succ u2, succ u3} V V₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) (fun (_x : LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) => V -> V₂) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) f)) -> (Eq.{1} Nat (FiniteDimensional.finrank.{u1, u3} K (coeSort.{succ u3, succ (succ u3)} (Submodule.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5) Type.{u3} (SetLike.hasCoeToSort.{u3, u3} (Submodule.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5) V₂ (Submodule.setLike.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5)) (LinearMap.range.{u1, u1, u2, u3, max u2 u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) (RingHomSurjective.ids.{u1} K (Ring.toSemiring.{u1} K _inst_1)) f)) (Ring.toSemiring.{u1} K _inst_1) (Submodule.addCommGroup.{u1, u3} K V₂ _inst_1 _inst_4 _inst_5 (LinearMap.range.{u1, u1, u2, u3, max u2 u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) (RingHomSurjective.ids.{u1} K (Ring.toSemiring.{u1} K _inst_1)) f)) (Submodule.module.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5 (LinearMap.range.{u1, u1, u2, u3, max u2 u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) (RingHomSurjective.ids.{u1} K (Ring.toSemiring.{u1} K _inst_1)) f))) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3))
 but is expected to have type
-  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {V₂ : Type.{u3}} [_inst_4 : AddCommGroup.{u3} V₂] [_inst_5 : Module.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4)] {f : LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5}, (Function.Injective.{succ u2, succ u3} V V₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) V (fun (_x : V) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : V) => V₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) f)) -> (Eq.{1} Nat (FiniteDimensional.finrank.{u1, u3} K (Subtype.{succ u3} V₂ (fun (x : V₂) => Membership.mem.{u3, u3} V₂ (Submodule.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5) (SetLike.instMembership.{u3, u3} (Submodule.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5) V₂ (Submodule.setLike.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5)) x (LinearMap.range.{u1, u1, u2, u3, max u2 u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) (RingHomSurjective.ids.{u1} K (Ring.toSemiring.{u1} K _inst_1)) f))) (Ring.toSemiring.{u1} K _inst_1) (Submodule.addCommGroup.{u1, u3} K V₂ _inst_1 _inst_4 _inst_5 (LinearMap.range.{u1, u1, u2, u3, max u2 u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) (RingHomSurjective.ids.{u1} K (Ring.toSemiring.{u1} K _inst_1)) f)) (Submodule.module.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5 (LinearMap.range.{u1, u1, u2, u3, max u2 u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) (RingHomSurjective.ids.{u1} K (Ring.toSemiring.{u1} K _inst_1)) f))) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3))
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {V₂ : Type.{u3}} [_inst_4 : AddCommGroup.{u3} V₂] [_inst_5 : Module.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4)] {f : LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5}, (Function.Injective.{succ u2, succ u3} V V₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) V (fun (_x : V) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : V) => V₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) f)) -> (Eq.{1} Nat (FiniteDimensional.finrank.{u1, u3} K (Subtype.{succ u3} V₂ (fun (x : V₂) => Membership.mem.{u3, u3} V₂ (Submodule.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5) (SetLike.instMembership.{u3, u3} (Submodule.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5) V₂ (Submodule.setLike.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5)) x (LinearMap.range.{u1, u1, u2, u3, max u2 u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) (RingHomSurjective.ids.{u1} K (Ring.toSemiring.{u1} K _inst_1)) f))) (Ring.toSemiring.{u1} K _inst_1) (Submodule.addCommGroup.{u1, u3} K V₂ _inst_1 _inst_4 _inst_5 (LinearMap.range.{u1, u1, u2, u3, max u2 u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) (RingHomSurjective.ids.{u1} K (Ring.toSemiring.{u1} K _inst_1)) f)) (Submodule.module.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5 (LinearMap.range.{u1, u1, u2, u3, max u2 u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) (RingHomSurjective.ids.{u1} K (Ring.toSemiring.{u1} K _inst_1)) f))) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3))
 Case conversion may be inaccurate. Consider using '#align linear_map.finrank_range_of_inj LinearMap.finrank_range_of_injₓ'. -/
 /-- The dimensions of the domain and range of an injective linear map are equal. -/
 theorem finrank_range_of_inj {f : V →ₗ[K] V₂} (hf : Function.Injective f) :

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

@@ -95,7 +95,7 @@ theorem finrank_le_of_rank_le {n : ℕ} (h : Module.rank K V ≤ ↑n) : finrank
 
 /- warning: finite_dimensional.finrank_lt_of_rank_lt -> FiniteDimensional.finrank_lt_of_rank_lt is a dubious translation:
 lean 3 declaration is
-  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {n : Nat}, (LT.lt.{succ u2} Cardinal.{u2} (Preorder.toLT.{succ u2} Cardinal.{u2} (PartialOrder.toPreorder.{succ u2} Cardinal.{u2} Cardinal.partialOrder.{u2})) (Module.rank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) ((fun (a : Type) (b : Type.{succ u2}) [self : HasLiftT.{1, succ (succ u2)} a b] => self.0) Nat Cardinal.{u2} (HasLiftT.mk.{1, succ (succ u2)} Nat Cardinal.{u2} (CoeTCₓ.coe.{1, succ (succ u2)} Nat Cardinal.{u2} (Nat.castCoe.{succ u2} Cardinal.{u2} Cardinal.hasNatCast.{u2}))) n)) -> (LT.lt.{0} Nat Nat.hasLt (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3) n)
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {n : Nat}, (LT.lt.{succ u2} Cardinal.{u2} (Preorder.toHasLt.{succ u2} Cardinal.{u2} (PartialOrder.toPreorder.{succ u2} Cardinal.{u2} Cardinal.partialOrder.{u2})) (Module.rank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) ((fun (a : Type) (b : Type.{succ u2}) [self : HasLiftT.{1, succ (succ u2)} a b] => self.0) Nat Cardinal.{u2} (HasLiftT.mk.{1, succ (succ u2)} Nat Cardinal.{u2} (CoeTCₓ.coe.{1, succ (succ u2)} Nat Cardinal.{u2} (Nat.castCoe.{succ u2} Cardinal.{u2} Cardinal.hasNatCast.{u2}))) n)) -> (LT.lt.{0} Nat Nat.hasLt (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3) n)
 but is expected to have type
   forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {n : Nat}, (LT.lt.{succ u2} Cardinal.{u2} (Preorder.toLT.{succ u2} Cardinal.{u2} (PartialOrder.toPreorder.{succ u2} Cardinal.{u2} Cardinal.partialOrder.{u2})) (Module.rank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Nat.cast.{succ u2} Cardinal.{u2} Cardinal.instNatCastCardinal.{u2} n)) -> (LT.lt.{0} Nat instLTNat (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3) n)
 Case conversion may be inaccurate. Consider using '#align finite_dimensional.finrank_lt_of_rank_lt FiniteDimensional.finrank_lt_of_rank_ltₓ'. -/
@@ -108,7 +108,7 @@ theorem finrank_lt_of_rank_lt {n : ℕ} (h : Module.rank K V < ↑n) : finrank K
 
 /- warning: finite_dimensional.rank_lt_of_finrank_lt -> FiniteDimensional.rank_lt_of_finrank_lt is a dubious translation:
 lean 3 declaration is
-  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {n : Nat}, (LT.lt.{0} Nat Nat.hasLt n (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3)) -> (LT.lt.{succ u2} Cardinal.{u2} (Preorder.toLT.{succ u2} Cardinal.{u2} (PartialOrder.toPreorder.{succ u2} Cardinal.{u2} Cardinal.partialOrder.{u2})) ((fun (a : Type) (b : Type.{succ u2}) [self : HasLiftT.{1, succ (succ u2)} a b] => self.0) Nat Cardinal.{u2} (HasLiftT.mk.{1, succ (succ u2)} Nat Cardinal.{u2} (CoeTCₓ.coe.{1, succ (succ u2)} Nat Cardinal.{u2} (Nat.castCoe.{succ u2} Cardinal.{u2} Cardinal.hasNatCast.{u2}))) n) (Module.rank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {n : Nat}, (LT.lt.{0} Nat Nat.hasLt n (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3)) -> (LT.lt.{succ u2} Cardinal.{u2} (Preorder.toHasLt.{succ u2} Cardinal.{u2} (PartialOrder.toPreorder.{succ u2} Cardinal.{u2} Cardinal.partialOrder.{u2})) ((fun (a : Type) (b : Type.{succ u2}) [self : HasLiftT.{1, succ (succ u2)} a b] => self.0) Nat Cardinal.{u2} (HasLiftT.mk.{1, succ (succ u2)} Nat Cardinal.{u2} (CoeTCₓ.coe.{1, succ (succ u2)} Nat Cardinal.{u2} (Nat.castCoe.{succ u2} Cardinal.{u2} Cardinal.hasNatCast.{u2}))) n) (Module.rank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))
 but is expected to have type
   forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {n : Nat}, (LT.lt.{0} Nat instLTNat n (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3)) -> (LT.lt.{succ u2} Cardinal.{u2} (Preorder.toLT.{succ u2} Cardinal.{u2} (PartialOrder.toPreorder.{succ u2} Cardinal.{u2} Cardinal.partialOrder.{u2})) (Nat.cast.{succ u2} Cardinal.{u2} Cardinal.instNatCastCardinal.{u2} n) (Module.rank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))
 Case conversion may be inaccurate. Consider using '#align finite_dimensional.rank_lt_of_finrank_lt FiniteDimensional.rank_lt_of_finrank_ltₓ'. -/
@@ -121,13 +121,17 @@ theorem rank_lt_of_finrank_lt {n : ℕ} (h : n < finrank K V) : ↑n < Module.ra
     exact n.zero_le
 #align finite_dimensional.rank_lt_of_finrank_lt FiniteDimensional.rank_lt_of_finrank_lt
 
-#print FiniteDimensional.finrank_le_finrank_of_rank_le_rank /-
+/- warning: finite_dimensional.finrank_le_finrank_of_rank_le_rank -> FiniteDimensional.finrank_le_finrank_of_rank_le_rank is a dubious translation:
+lean 3 declaration is
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {V₂ : Type.{u3}} [_inst_4 : AddCommGroup.{u3} V₂] [_inst_5 : Module.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4)], (LE.le.{succ (max u2 u3)} Cardinal.{max u2 u3} Cardinal.hasLe.{max u2 u3} (Cardinal.lift.{u3, u2} (Module.rank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) (Cardinal.lift.{u2, u3} (Module.rank.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5))) -> (LT.lt.{succ u3} Cardinal.{u3} (Preorder.toHasLt.{succ u3} Cardinal.{u3} (PartialOrder.toPreorder.{succ u3} Cardinal.{u3} Cardinal.partialOrder.{u3})) (Module.rank.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5) Cardinal.aleph0.{u3}) -> (LE.le.{0} Nat Nat.hasLe (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3) (FiniteDimensional.finrank.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) _inst_4 _inst_5))
+but is expected to have type
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {V₂ : Type.{u3}} [_inst_4 : AddCommGroup.{u3} V₂] [_inst_5 : Module.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4)], (LE.le.{max (succ u2) (succ u3)} Cardinal.{max u2 u3} Cardinal.instLECardinal.{max u2 u3} (Cardinal.lift.{u3, u2} (Module.rank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) (Cardinal.lift.{u2, u3} (Module.rank.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5))) -> (LT.lt.{succ u3} Cardinal.{u3} (Preorder.toLT.{succ u3} Cardinal.{u3} (PartialOrder.toPreorder.{succ u3} Cardinal.{u3} Cardinal.partialOrder.{u3})) (Module.rank.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5) Cardinal.aleph0.{u3}) -> (LE.le.{0} Nat instLENat (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3) (FiniteDimensional.finrank.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) _inst_4 _inst_5))
+Case conversion may be inaccurate. Consider using '#align finite_dimensional.finrank_le_finrank_of_rank_le_rank FiniteDimensional.finrank_le_finrank_of_rank_le_rankₓ'. -/
 theorem finrank_le_finrank_of_rank_le_rank
     (h : lift.{v'} (Module.rank K V) ≤ Cardinal.lift.{v} (Module.rank K V₂))
     (h' : Module.rank K V₂ < ℵ₀) : finrank K V ≤ finrank K V₂ := by
   simpa only [to_nat_lift] using to_nat_le_of_le_of_lt_aleph_0 (lift_lt_aleph_0.mpr h') h
 #align finite_dimensional.finrank_le_finrank_of_rank_le_rank FiniteDimensional.finrank_le_finrank_of_rank_le_rank
--/
 
 section
 
@@ -392,7 +396,7 @@ variable [Ring K] [AddCommGroup V] [Module K V] {V₂ : Type v'} [AddCommGroup V
 
 /- warning: submodule.lt_of_le_of_finrank_lt_finrank -> Submodule.lt_of_le_of_finrank_lt_finrank is a dubious translation:
 lean 3 declaration is
-  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3} {t : Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3}, (LE.le.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) s t) -> (LT.lt.{0} Nat Nat.hasLt (FiniteDimensional.finrank.{u1, u2} K (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) s) (Ring.toSemiring.{u1} K _inst_1) (Submodule.addCommGroup.{u1, u2} K V _inst_1 _inst_2 _inst_3 s) (Submodule.module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 s)) (FiniteDimensional.finrank.{u1, u2} K (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) t) (Ring.toSemiring.{u1} K _inst_1) (Submodule.addCommGroup.{u1, u2} K V _inst_1 _inst_2 _inst_3 t) (Submodule.module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 t))) -> (LT.lt.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLT.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) s t)
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3} {t : Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3}, (LE.le.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toHasLe.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) s t) -> (LT.lt.{0} Nat Nat.hasLt (FiniteDimensional.finrank.{u1, u2} K (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) s) (Ring.toSemiring.{u1} K _inst_1) (Submodule.addCommGroup.{u1, u2} K V _inst_1 _inst_2 _inst_3 s) (Submodule.module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 s)) (FiniteDimensional.finrank.{u1, u2} K (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) t) (Ring.toSemiring.{u1} K _inst_1) (Submodule.addCommGroup.{u1, u2} K V _inst_1 _inst_2 _inst_3 t) (Submodule.module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 t))) -> (LT.lt.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toHasLt.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) s t)
 but is expected to have type
   forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3} {t : Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3}, (LE.le.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.completeLattice.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))) s t) -> (LT.lt.{0} Nat instLTNat (FiniteDimensional.finrank.{u1, u2} K (Subtype.{succ u2} V (fun (x : V) => Membership.mem.{u2, u2} V (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) x s)) (Ring.toSemiring.{u1} K _inst_1) (Submodule.addCommGroup.{u1, u2} K V _inst_1 _inst_2 _inst_3 s) (Submodule.module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 s)) (FiniteDimensional.finrank.{u1, u2} K (Subtype.{succ u2} V (fun (x : V) => Membership.mem.{u2, u2} V (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) x t)) (Ring.toSemiring.{u1} K _inst_1) (Submodule.addCommGroup.{u1, u2} K V _inst_1 _inst_2 _inst_3 t) (Submodule.module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 t))) -> (LT.lt.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLT.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.completeLattice.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))) s t)
 Case conversion may be inaccurate. Consider using '#align submodule.lt_of_le_of_finrank_lt_finrank Submodule.lt_of_le_of_finrank_lt_finrankₓ'. -/
@@ -403,7 +407,7 @@ theorem lt_of_le_of_finrank_lt_finrank {s t : Submodule K V} (le : s ≤ t)
 
 /- warning: submodule.lt_top_of_finrank_lt_finrank -> Submodule.lt_top_of_finrank_lt_finrank is a dubious translation:
 lean 3 declaration is
-  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3}, (LT.lt.{0} Nat Nat.hasLt (FiniteDimensional.finrank.{u1, u2} K (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) s) (Ring.toSemiring.{u1} K _inst_1) (Submodule.addCommGroup.{u1, u2} K V _inst_1 _inst_2 _inst_3 s) (Submodule.module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 s)) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3)) -> (LT.lt.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLT.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) s (Top.top.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.hasTop.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3}, (LT.lt.{0} Nat Nat.hasLt (FiniteDimensional.finrank.{u1, u2} K (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) s) (Ring.toSemiring.{u1} K _inst_1) (Submodule.addCommGroup.{u1, u2} K V _inst_1 _inst_2 _inst_3 s) (Submodule.module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 s)) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3)) -> (LT.lt.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toHasLt.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) s (Top.top.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.hasTop.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))
 but is expected to have type
   forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3}, (LT.lt.{0} Nat instLTNat (FiniteDimensional.finrank.{u1, u2} K (Subtype.{succ u2} V (fun (x : V) => Membership.mem.{u2, u2} V (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) x s)) (Ring.toSemiring.{u1} K _inst_1) (Submodule.addCommGroup.{u1, u2} K V _inst_1 _inst_2 _inst_3 s) (Submodule.module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 s)) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3)) -> (LT.lt.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLT.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.completeLattice.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))) s (Top.top.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.instTopSubmodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))
 Case conversion may be inaccurate. Consider using '#align submodule.lt_top_of_finrank_lt_finrank Submodule.lt_top_of_finrank_lt_finrankₓ'. -/
@@ -501,7 +505,7 @@ theorem finrank_span_finset_eq_card (s : Finset V) (hs : LinearIndependent K (co
 
 /- warning: span_lt_of_subset_of_card_lt_finrank -> span_lt_of_subset_of_card_lt_finrank is a dubious translation:
 lean 3 declaration is
-  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Set.{u2} V} [_inst_4 : Fintype.{u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} V) Type.{u2} (Set.hasCoeToSort.{u2} V) s)] {t : Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3}, (HasSubset.Subset.{u2} (Set.{u2} V) (Set.hasSubset.{u2} V) s ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Set.{u2} V) (HasLiftT.mk.{succ u2, succ u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Set.{u2} V) (CoeTCₓ.coe.{succ u2, succ u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Set.{u2} V) (SetLike.Set.hasCoeT.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) t)) -> (LT.lt.{0} Nat Nat.hasLt (Finset.card.{u2} V (Set.toFinset.{u2} V s _inst_4)) (FiniteDimensional.finrank.{u1, u2} K (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) t) (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (Submodule.addCommGroup.{u1, u2} K V (DivisionRing.toRing.{u1} K _inst_1) _inst_2 _inst_3 t) (Submodule.module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 t))) -> (LT.lt.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLT.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) (Submodule.span.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 s) t)
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Set.{u2} V} [_inst_4 : Fintype.{u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} V) Type.{u2} (Set.hasCoeToSort.{u2} V) s)] {t : Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3}, (HasSubset.Subset.{u2} (Set.{u2} V) (Set.hasSubset.{u2} V) s ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Set.{u2} V) (HasLiftT.mk.{succ u2, succ u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Set.{u2} V) (CoeTCₓ.coe.{succ u2, succ u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Set.{u2} V) (SetLike.Set.hasCoeT.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) t)) -> (LT.lt.{0} Nat Nat.hasLt (Finset.card.{u2} V (Set.toFinset.{u2} V s _inst_4)) (FiniteDimensional.finrank.{u1, u2} K (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) t) (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (Submodule.addCommGroup.{u1, u2} K V (DivisionRing.toRing.{u1} K _inst_1) _inst_2 _inst_3 t) (Submodule.module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 t))) -> (LT.lt.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toHasLt.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) (Submodule.span.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 s) t)
 but is expected to have type
   forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Set.{u2} V} [_inst_4 : Fintype.{u2} (Set.Elem.{u2} V s)] {t : Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3}, (HasSubset.Subset.{u2} (Set.{u2} V) (Set.instHasSubsetSet.{u2} V) s (SetLike.coe.{u2, u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) t)) -> (LT.lt.{0} Nat instLTNat (Finset.card.{u2} V (Set.toFinset.{u2} V s _inst_4)) (FiniteDimensional.finrank.{u1, u2} K (Subtype.{succ u2} V (fun (x : V) => Membership.mem.{u2, u2} V (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) x t)) (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (Submodule.addCommGroup.{u1, u2} K V (DivisionRing.toRing.{u1} K _inst_1) _inst_2 _inst_3 t) (Submodule.module.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 t))) -> (LT.lt.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLT.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.completeLattice.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))) (Submodule.span.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 s) t)
 Case conversion may be inaccurate. Consider using '#align span_lt_of_subset_of_card_lt_finrank span_lt_of_subset_of_card_lt_finrankₓ'. -/
@@ -513,7 +517,7 @@ theorem span_lt_of_subset_of_card_lt_finrank {s : Set V} [Fintype s] {t : Submod
 
 /- warning: span_lt_top_of_card_lt_finrank -> span_lt_top_of_card_lt_finrank is a dubious translation:
 lean 3 declaration is
-  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Set.{u2} V} [_inst_4 : Fintype.{u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} V) Type.{u2} (Set.hasCoeToSort.{u2} V) s)], (LT.lt.{0} Nat Nat.hasLt (Finset.card.{u2} V (Set.toFinset.{u2} V s _inst_4)) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) _inst_2 _inst_3)) -> (LT.lt.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLT.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) (Submodule.span.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 s) (Top.top.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.hasTop.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Set.{u2} V} [_inst_4 : Fintype.{u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} V) Type.{u2} (Set.hasCoeToSort.{u2} V) s)], (LT.lt.{0} Nat Nat.hasLt (Finset.card.{u2} V (Set.toFinset.{u2} V s _inst_4)) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) _inst_2 _inst_3)) -> (LT.lt.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toHasLt.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) (Submodule.span.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 s) (Top.top.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.hasTop.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))
 but is expected to have type
   forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Set.{u2} V} [_inst_4 : Fintype.{u2} (Set.Elem.{u2} V s)], (LT.lt.{0} Nat instLTNat (Finset.card.{u2} V (Set.toFinset.{u2} V s _inst_4)) (FiniteDimensional.finrank.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) _inst_2 _inst_3)) -> (LT.lt.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLT.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.completeLattice.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))) (Submodule.span.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 s) (Top.top.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.instTopSubmodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))
 Case conversion may be inaccurate. Consider using '#align span_lt_top_of_card_lt_finrank span_lt_top_of_card_lt_finrankₓ'. -/
@@ -534,7 +538,7 @@ variable [DivisionRing K] [AddCommGroup V] [Module K V]
 
 /- warning: linear_independent_of_top_le_span_of_card_eq_finrank -> linearIndependent_of_top_le_span_of_card_eq_finrank is a dubious translation:
 lean 3 declaration is
-  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {ι : Type.{u3}} [_inst_4 : Fintype.{u3} ι] {b : ι -> V}, (LE.le.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) (Top.top.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.hasTop.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) (Submodule.span.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 (Set.range.{u2, succ u3} V ι b))) -> (Eq.{1} Nat (Fintype.card.{u3} ι _inst_4) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) _inst_2 _inst_3)) -> (LinearIndependent.{u3, u1, u2} ι K V b (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {ι : Type.{u3}} [_inst_4 : Fintype.{u3} ι] {b : ι -> V}, (LE.le.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toHasLe.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) (Top.top.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.hasTop.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) (Submodule.span.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 (Set.range.{u2, succ u3} V ι b))) -> (Eq.{1} Nat (Fintype.card.{u3} ι _inst_4) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) _inst_2 _inst_3)) -> (LinearIndependent.{u3, u1, u2} ι K V b (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)
 but is expected to have type
   forall {K : Type.{u2}} {V : Type.{u3}} [_inst_1 : DivisionRing.{u2} K] [_inst_2 : AddCommGroup.{u3} V] [_inst_3 : Module.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2)] {ι : Type.{u1}} [_inst_4 : Fintype.{u1} ι] {b : ι -> V}, (LE.le.{u3} (Submodule.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3) (Preorder.toLE.{u3} (Submodule.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3) (Submodule.completeLattice.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3))))) (Top.top.{u3} (Submodule.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3) (Submodule.instTopSubmodule.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3)) (Submodule.span.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3 (Set.range.{u3, succ u1} V ι b))) -> (Eq.{1} Nat (Fintype.card.{u1} ι _inst_4) (FiniteDimensional.finrank.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) _inst_2 _inst_3)) -> (LinearIndependent.{u1, u2, u3} ι K V b (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3)
 Case conversion may be inaccurate. Consider using '#align linear_independent_of_top_le_span_of_card_eq_finrank linearIndependent_of_top_le_span_of_card_eq_finrankₓ'. -/
@@ -639,7 +643,7 @@ theorem linearIndependent_iff_card_le_finrank_span {ι : Type _} [Fintype ι] {b
 
 /- warning: basis_of_top_le_span_of_card_eq_finrank -> basisOfTopLeSpanOfCardEqFinrank is a dubious translation:
 lean 3 declaration is
-  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {ι : Type.{u3}} [_inst_4 : Fintype.{u3} ι] (b : ι -> V), (LE.le.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) (Top.top.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.hasTop.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) (Submodule.span.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 (Set.range.{u2, succ u3} V ι b))) -> (Eq.{1} Nat (Fintype.card.{u3} ι _inst_4) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) _inst_2 _inst_3)) -> (Basis.{u3, u1, u2} ι K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {ι : Type.{u3}} [_inst_4 : Fintype.{u3} ι] (b : ι -> V), (LE.le.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toHasLe.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) (Top.top.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.hasTop.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) (Submodule.span.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 (Set.range.{u2, succ u3} V ι b))) -> (Eq.{1} Nat (Fintype.card.{u3} ι _inst_4) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) _inst_2 _inst_3)) -> (Basis.{u3, u1, u2} ι K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)
 but is expected to have type
   forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {ι : Type.{u3}} [_inst_4 : Fintype.{u3} ι] (b : ι -> V), (LE.le.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.completeLattice.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))) (Top.top.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.instTopSubmodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) (Submodule.span.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 (Set.range.{u2, succ u3} V ι b))) -> (Eq.{1} Nat (Fintype.card.{u3} ι _inst_4) (FiniteDimensional.finrank.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) _inst_2 _inst_3)) -> (Basis.{u3, u1, u2} ι K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)
 Case conversion may be inaccurate. Consider using '#align basis_of_top_le_span_of_card_eq_finrank basisOfTopLeSpanOfCardEqFinrankₓ'. -/
@@ -651,7 +655,7 @@ noncomputable def basisOfTopLeSpanOfCardEqFinrank {ι : Type _} [Fintype ι] (b
 
 /- warning: coe_basis_of_top_le_span_of_card_eq_finrank -> coe_basisOfTopLeSpanOfCardEqFinrank is a dubious translation:
 lean 3 declaration is
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+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {ι : Type.{u3}} [_inst_4 : Fintype.{u3} ι] (b : ι -> V) (le_span : LE.le.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toHasLe.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) (Top.top.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.hasTop.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) (Submodule.span.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 (Set.range.{u2, succ u3} V ι b))) (card_eq : Eq.{1} Nat (Fintype.card.{u3} ι _inst_4) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) _inst_2 _inst_3)), Eq.{max (succ u3) (succ u2)} (ι -> V) (coeFn.{max (succ u3) (succ u1) (succ u2), max (succ u3) (succ u2)} (Basis.{u3, u1, u2} ι K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (fun (_x : Basis.{u3, u1, u2} ι K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) => ι -> V) (FunLike.hasCoeToFun.{max (succ u3) (succ u1) (succ u2), succ u3, succ u2} (Basis.{u3, u1, u2} ι K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) ι (fun (_x : ι) => V) (Basis.funLike.{u3, u1, u2} ι K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) (basisOfTopLeSpanOfCardEqFinrank.{u1, u2, u3} K V _inst_1 _inst_2 _inst_3 ι _inst_4 b le_span card_eq)) b
 but is expected to have type
   forall {K : Type.{u2}} {V : Type.{u3}} [_inst_1 : DivisionRing.{u2} K] [_inst_2 : AddCommGroup.{u3} V] [_inst_3 : Module.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2)] {ι : Type.{u1}} [_inst_4 : Fintype.{u1} ι] (b : ι -> V) (le_span : LE.le.{u3} (Submodule.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3) (Preorder.toLE.{u3} (Submodule.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3) (Submodule.completeLattice.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3))))) (Top.top.{u3} (Submodule.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3) (Submodule.instTopSubmodule.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3)) (Submodule.span.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3 (Set.range.{u3, succ u1} V ι b))) (card_eq : Eq.{1} Nat (Fintype.card.{u1} ι _inst_4) (FiniteDimensional.finrank.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) _inst_2 _inst_3)), Eq.{max (succ u3) (succ u1)} (forall (a : ι), (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => V) a) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u2, u3} ι K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3) ι (fun (_x : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => V) _x) (Basis.funLike.{u1, u2, u3} ι K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3) (basisOfTopLeSpanOfCardEqFinrank.{u2, u3, u1} K V _inst_1 _inst_2 _inst_3 ι _inst_4 b le_span card_eq)) b
 Case conversion may be inaccurate. Consider using '#align coe_basis_of_top_le_span_of_card_eq_finrank coe_basisOfTopLeSpanOfCardEqFinrankₓ'. -/
@@ -664,7 +668,7 @@ theorem coe_basisOfTopLeSpanOfCardEqFinrank {ι : Type _} [Fintype ι] (b : ι 
 
 /- warning: finset_basis_of_top_le_span_of_card_eq_finrank -> finsetBasisOfTopLeSpanOfCardEqFinrank is a dubious translation:
 lean 3 declaration is
-  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Finset.{u2} V}, (LE.le.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) (Top.top.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.hasTop.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) (Submodule.span.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Finset.{u2} V) (Set.{u2} V) (HasLiftT.mk.{succ u2, succ u2} (Finset.{u2} V) (Set.{u2} V) (CoeTCₓ.coe.{succ u2, succ u2} (Finset.{u2} V) (Set.{u2} V) (Finset.Set.hasCoeT.{u2} V))) s))) -> (Eq.{1} Nat (Finset.card.{u2} V s) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) _inst_2 _inst_3)) -> (Basis.{u2, u1, u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} V) Type.{u2} (Set.hasCoeToSort.{u2} V) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Finset.{u2} V) (Set.{u2} V) (HasLiftT.mk.{succ u2, succ u2} (Finset.{u2} V) (Set.{u2} V) (CoeTCₓ.coe.{succ u2, succ u2} (Finset.{u2} V) (Set.{u2} V) (Finset.Set.hasCoeT.{u2} V))) s)) K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Finset.{u2} V}, (LE.le.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toHasLe.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) (Top.top.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.hasTop.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) (Submodule.span.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Finset.{u2} V) (Set.{u2} V) (HasLiftT.mk.{succ u2, succ u2} (Finset.{u2} V) (Set.{u2} V) (CoeTCₓ.coe.{succ u2, succ u2} (Finset.{u2} V) (Set.{u2} V) (Finset.Set.hasCoeT.{u2} V))) s))) -> (Eq.{1} Nat (Finset.card.{u2} V s) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) _inst_2 _inst_3)) -> (Basis.{u2, u1, u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} V) Type.{u2} (Set.hasCoeToSort.{u2} V) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Finset.{u2} V) (Set.{u2} V) (HasLiftT.mk.{succ u2, succ u2} (Finset.{u2} V) (Set.{u2} V) (CoeTCₓ.coe.{succ u2, succ u2} (Finset.{u2} V) (Set.{u2} V) (Finset.Set.hasCoeT.{u2} V))) s)) K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)
 but is expected to have type
   forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Finset.{u2} V}, (LE.le.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.completeLattice.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))) (Top.top.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.instTopSubmodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) (Submodule.span.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 (Finset.toSet.{u2} V s))) -> (Eq.{1} Nat (Finset.card.{u2} V s) (FiniteDimensional.finrank.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) _inst_2 _inst_3)) -> (Basis.{u2, u1, u2} (Set.Elem.{u2} V (Finset.toSet.{u2} V s)) K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)
 Case conversion may be inaccurate. Consider using '#align finset_basis_of_top_le_span_of_card_eq_finrank finsetBasisOfTopLeSpanOfCardEqFinrankₓ'. -/
@@ -679,7 +683,7 @@ noncomputable def finsetBasisOfTopLeSpanOfCardEqFinrank {s : Finset V}
 
 /- warning: set_basis_of_top_le_span_of_card_eq_finrank -> setBasisOfTopLeSpanOfCardEqFinrank is a dubious translation:
 lean 3 declaration is
-  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Set.{u2} V} [_inst_4 : Fintype.{u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} V) Type.{u2} (Set.hasCoeToSort.{u2} V) s)], (LE.le.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) (Top.top.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.hasTop.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) (Submodule.span.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 s)) -> (Eq.{1} Nat (Finset.card.{u2} V (Set.toFinset.{u2} V s _inst_4)) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) _inst_2 _inst_3)) -> (Basis.{u2, u1, u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} V) Type.{u2} (Set.hasCoeToSort.{u2} V) s) K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Set.{u2} V} [_inst_4 : Fintype.{u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} V) Type.{u2} (Set.hasCoeToSort.{u2} V) s)], (LE.le.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toHasLe.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) (Top.top.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.hasTop.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) (Submodule.span.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 s)) -> (Eq.{1} Nat (Finset.card.{u2} V (Set.toFinset.{u2} V s _inst_4)) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) _inst_2 _inst_3)) -> (Basis.{u2, u1, u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} V) Type.{u2} (Set.hasCoeToSort.{u2} V) s) K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)
 but is expected to have type
   forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Set.{u2} V} [_inst_4 : Fintype.{u2} (Set.Elem.{u2} V s)], (LE.le.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.completeLattice.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))) (Top.top.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.instTopSubmodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) (Submodule.span.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 s)) -> (Eq.{1} Nat (Finset.card.{u2} V (Set.toFinset.{u2} V s _inst_4)) (FiniteDimensional.finrank.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) _inst_2 _inst_3)) -> (Basis.{u2, u1, u2} (Set.Elem.{u2} V s) K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)
 Case conversion may be inaccurate. Consider using '#align set_basis_of_top_le_span_of_card_eq_finrank setBasisOfTopLeSpanOfCardEqFinrankₓ'. -/
@@ -753,7 +757,7 @@ variable {F E : Type _} [CommRing F] [Ring E] [Algebra F E]
 
 /- warning: subalgebra.rank_to_submodule -> Subalgebra.rank_toSubmodule is a dubious translation:
 lean 3 declaration is
-  forall {F : Type.{u1}} {E : Type.{u2}} [_inst_1 : CommRing.{u1} F] [_inst_2 : Ring.{u2} E] [_inst_3 : Algebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2)] (S : Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3), Eq.{succ (succ u2)} Cardinal.{u2} (Module.rank.{u1, u2} F (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) E (Submodule.setLike.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))) (coeFn.{succ u2, succ u2} (OrderEmbedding.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E 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(CompleteSemilatticeInf.toPartialOrder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Submodule.completeLattice.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))))))) (Subalgebra.toSubmodule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) S))) (Module.rank.{u1, u2} F (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) S) (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} 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(Ring.toSemiring.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) S) (Ring.toNonAssocRing.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) S) (Subalgebra.toRing.{u1, u2} F E _inst_1 _inst_2 _inst_3 S))))) (Subalgebra.module.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3 S))
 but is expected to have type
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(SetLike.instMembership.{u1, u1} ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) S) E (Submodule.setLike.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))) x 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_inst_2) _inst_3)) _x) (RelHomClass.toFunLike.{u1, u1, u1} (OrderEmbedding.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E 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(OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))))) (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => LE.le.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) => LE.le.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => LE.le.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) => LE.le.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Subalgebra.toSubmodule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) S))) (Module.rank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (NonAssocRing.toNonUnitalNonAssocRing.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Ring.toNonAssocRing.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Subalgebra.toRing.{u2, u1} F E _inst_1 _inst_2 _inst_3 S))))) (Subalgebra.instModuleSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToNonAssocSemiringToSubsemiring.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3 S))
 Case conversion may be inaccurate. Consider using '#align subalgebra.rank_to_submodule Subalgebra.rank_toSubmoduleₓ'. -/
@@ -765,7 +769,7 @@ theorem Subalgebra.rank_toSubmodule (S : Subalgebra F E) :
 
 /- warning: subalgebra.finrank_to_submodule -> Subalgebra.finrank_toSubmodule is a dubious translation:
 lean 3 declaration is
-  forall {F : Type.{u1}} {E : Type.{u2}} [_inst_1 : CommRing.{u1} F] [_inst_2 : Ring.{u2} E] [_inst_3 : Algebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2)] (S : Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3), Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} F (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) E (Submodule.setLike.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))) (coeFn.{succ u2, succ u2} (OrderEmbedding.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Preorder.toLE.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (Preorder.toLE.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteSemilatticeInf.toPartialOrder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Submodule.completeLattice.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))))) (fun (_x : RelEmbedding.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (LE.le.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Preorder.toLE.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (LE.le.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Preorder.toLE.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteSemilatticeInf.toPartialOrder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Submodule.completeLattice.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))))))) => (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) -> (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))) (RelEmbedding.hasCoeToFun.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (LE.le.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Preorder.toLE.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (LE.le.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Preorder.toLE.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteSemilatticeInf.toPartialOrder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Submodule.completeLattice.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))))))) (Subalgebra.toSubmodule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) S)) (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1)) (Submodule.addCommGroup.{u1, u2} F E (CommRing.toRing.{u1} F _inst_1) (NonUnitalNonAssocRing.toAddCommGroup.{u2} E (NonAssocRing.toNonUnitalNonAssocRing.{u2} E (Ring.toNonAssocRing.{u2} E _inst_2))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (coeFn.{succ u2, succ u2} (OrderEmbedding.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Preorder.toLE.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (Preorder.toLE.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) 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(Ring.toSemiring.{u2} E _inst_2) _inst_3)) (LE.le.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Preorder.toLE.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (LE.le.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Preorder.toLE.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteSemilatticeInf.toPartialOrder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Submodule.completeLattice.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))))))) (Subalgebra.toSubmodule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) S))) (FiniteDimensional.finrank.{u1, u2} F (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) S) (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) S) (NonAssocRing.toNonUnitalNonAssocRing.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) S) (Ring.toNonAssocRing.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) S) (Subalgebra.toRing.{u1, u2} F E _inst_1 _inst_2 _inst_3 S)))) (Subalgebra.module.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3 S))
+  forall {F : Type.{u1}} {E : Type.{u2}} [_inst_1 : CommRing.{u1} F] [_inst_2 : Ring.{u2} E] [_inst_3 : Algebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2)] (S : Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3), Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} F (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E 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(SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) S) (Subalgebra.toRing.{u1, u2} F E _inst_1 _inst_2 _inst_3 S)))) (Subalgebra.module.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3 S))
 but is expected to have type
   forall {F : Type.{u2}} {E : Type.{u1}} [_inst_1 : CommRing.{u2} F] [_inst_2 : Ring.{u1} E] [_inst_3 : Algebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2)] (S : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3), Eq.{1} Nat (FiniteDimensional.finrank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) S) (SetLike.instMembership.{u1, u1} ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) S) E (Submodule.setLike.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))) x (FunLike.coe.{succ u1, succ u1, succ u1} (OrderEmbedding.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))))) (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (fun (a : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) a) (RelHomClass.toFunLike.{u1, u1, u1} (OrderEmbedding.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} 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_inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F 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Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => LE.le.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) 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(Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} 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(Ring.toSemiring.{u1} E _inst_2) _inst_3))))))) (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => LE.le.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) => LE.le.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => LE.le.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) => LE.le.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Subalgebra.toSubmodule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) S))) (FiniteDimensional.finrank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (Ring.toAddCommGroup.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Subalgebra.toRing.{u2, u1} F E _inst_1 _inst_2 _inst_3 S)) (Subalgebra.instModuleSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToNonAssocSemiringToSubsemiring.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3 S))
 Case conversion may be inaccurate. Consider using '#align subalgebra.finrank_to_submodule Subalgebra.finrank_toSubmoduleₓ'. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/28b2a92f2996d28e580450863c130955de0ed398

@@ -75,7 +75,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align finite_dimensional.finrank_eq_of_rank_eq FiniteDimensional.finrank_eq_of_rank_eqₓ'. -/
 theorem finrank_eq_of_rank_eq {n : ℕ} (h : Module.rank K V = ↑n) : finrank K V = n :=
   by
-  apply_fun to_nat  at h
+  apply_fun toNat  at h
   rw [to_nat_cast] at h
   exact_mod_cast h
 #align finite_dimensional.finrank_eq_of_rank_eq FiniteDimensional.finrank_eq_of_rank_eq

mathlib commit https://github.com/leanprover-community/mathlib/commit/08e1d8d4d989df3a6df86f385e9053ec8a372cc1

@@ -304,7 +304,7 @@ variable [Module R M] [Module R M₂]
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} {M₂ : Type.{u3}} [_inst_6 : Ring.{u1} R] [_inst_7 : AddCommGroup.{u2} M] [_inst_8 : AddCommGroup.{u3} M₂] [_inst_9 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7)] [_inst_10 : Module.{u1, u3} R M₂ (Ring.toSemiring.{u1} R _inst_6) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_8)], (LinearEquiv.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_6) (Ring.toSemiring.{u1} R _inst_6) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R _inst_6)) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R _inst_6)) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_8) _inst_9 _inst_10) -> (Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_6) _inst_7 _inst_9) (FiniteDimensional.finrank.{u1, u3} R M₂ (Ring.toSemiring.{u1} R _inst_6) _inst_8 _inst_10))
 but is expected to have type
-  forall {R : Type.{u3}} {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_6 : Ring.{u3} R] [_inst_7 : AddCommGroup.{u2} M] [_inst_8 : AddCommGroup.{u1} M₂] [_inst_9 : Module.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7)] [_inst_10 : Module.{u3, u1} R M₂ (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8)], (LinearEquiv.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (NonAssocRing.toNonAssocSemiring.{u3} R (Ring.toNonAssocRing.{u3} R _inst_6))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10) -> (Eq.{1} Nat (FiniteDimensional.finrank.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) _inst_7 _inst_9) (FiniteDimensional.finrank.{u3, u1} R M₂ (Ring.toSemiring.{u3} R _inst_6) _inst_8 _inst_10))
+  forall {R : Type.{u3}} {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_6 : Ring.{u3} R] [_inst_7 : AddCommGroup.{u2} M] [_inst_8 : AddCommGroup.{u1} M₂] [_inst_9 : Module.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7)] [_inst_10 : Module.{u3, u1} R M₂ (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8)], (LinearEquiv.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10) -> (Eq.{1} Nat (FiniteDimensional.finrank.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) _inst_7 _inst_9) (FiniteDimensional.finrank.{u3, u1} R M₂ (Ring.toSemiring.{u3} R _inst_6) _inst_8 _inst_10))
 Case conversion may be inaccurate. Consider using '#align linear_equiv.finrank_eq LinearEquiv.finrank_eqₓ'. -/
 /-- The dimension of a finite dimensional space is preserved under linear equivalence. -/
 theorem finrank_eq (f : M ≃ₗ[R] M₂) : finrank R M = finrank R M₂ :=
@@ -317,7 +317,7 @@ theorem finrank_eq (f : M ≃ₗ[R] M₂) : finrank R M = finrank R M₂ :=
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} {M₂ : Type.{u3}} [_inst_6 : Ring.{u1} R] [_inst_7 : AddCommGroup.{u2} M] [_inst_8 : AddCommGroup.{u3} M₂] [_inst_9 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7)] [_inst_10 : Module.{u1, u3} R M₂ (Ring.toSemiring.{u1} R _inst_6) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_8)] (f : LinearEquiv.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_6) (Ring.toSemiring.{u1} R _inst_6) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R _inst_6)) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R _inst_6)) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_8) _inst_9 _inst_10) (p : Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M 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M _inst_7) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_8) _inst_9 _inst_10 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R _inst_6)) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R _inst_6)))))) f) p))) (FiniteDimensional.finrank.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) _inst_9) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) _inst_9) M (Submodule.setLike.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) _inst_9)) p) (Ring.toSemiring.{u1} R _inst_6) (Submodule.addCommGroup.{u1, u2} R M _inst_6 _inst_7 _inst_9 p) (Submodule.module.{u1, u2} R M 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 but is expected to have type
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(Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (NonAssocRing.toNonAssocSemiring.{u3} R (Ring.toNonAssocRing.{u3} R _inst_6))) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10) (LinearMap.instSemilinearMapClassLinearMap.{u3, u3, u2, u1} R R M M₂ (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 (RingHom.id.{u3} R (NonAssocRing.toNonAssocSemiring.{u3} R (Ring.toNonAssocRing.{u3} R _inst_6)))) (LinearEquiv.toLinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (NonAssocRing.toNonAssocSemiring.{u3} R (Ring.toNonAssocRing.{u3} R _inst_6))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 f) p))) (Ring.toSemiring.{u3} R _inst_6) (Submodule.addCommGroup.{u3, u1} R M₂ _inst_6 _inst_8 _inst_10 (Submodule.map.{u3, u3, u2, u1, max u2 u1} R R M M₂ (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 (RingHom.id.{u3} R (NonAssocRing.toNonAssocSemiring.{u3} R (Ring.toNonAssocRing.{u3} R _inst_6))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (NonAssocRing.toNonAssocSemiring.{u3} R (Ring.toNonAssocRing.{u3} R _inst_6))) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10) (LinearMap.instSemilinearMapClassLinearMap.{u3, u3, u2, u1} R R M M₂ (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 (RingHom.id.{u3} R (NonAssocRing.toNonAssocSemiring.{u3} R (Ring.toNonAssocRing.{u3} R _inst_6)))) (LinearEquiv.toLinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (NonAssocRing.toNonAssocSemiring.{u3} R (Ring.toNonAssocRing.{u3} R _inst_6))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 f) p)) (Submodule.module.{u3, u1} R M₂ (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_10 (Submodule.map.{u3, u3, u2, u1, max u2 u1} R R M M₂ (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 (RingHom.id.{u3} R (NonAssocRing.toNonAssocSemiring.{u3} R (Ring.toNonAssocRing.{u3} R _inst_6))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (NonAssocRing.toNonAssocSemiring.{u3} R (Ring.toNonAssocRing.{u3} R _inst_6))) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10) (LinearMap.instSemilinearMapClassLinearMap.{u3, u3, u2, u1} R R M M₂ (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 (RingHom.id.{u3} R (NonAssocRing.toNonAssocSemiring.{u3} R (Ring.toNonAssocRing.{u3} R _inst_6)))) (LinearEquiv.toLinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (NonAssocRing.toNonAssocSemiring.{u3} R (Ring.toNonAssocRing.{u3} R _inst_6))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 f) p))) (FiniteDimensional.finrank.{u3, u2} R (Subtype.{succ u2} M (fun (x : M) => Membership.mem.{u2, u2} M (Submodule.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) _inst_9) M (Submodule.setLike.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) _inst_9)) x p)) (Ring.toSemiring.{u3} R _inst_6) (Submodule.addCommGroup.{u3, u2} R M _inst_6 _inst_7 _inst_9 p) (Submodule.module.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) _inst_9 p))
+  forall {R : Type.{u3}} {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_6 : Ring.{u3} R] [_inst_7 : AddCommGroup.{u2} M] [_inst_8 : AddCommGroup.{u1} M₂] [_inst_9 : Module.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7)] [_inst_10 : Module.{u3, u1} R M₂ (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8)] (f : LinearEquiv.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10) (p : Submodule.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) _inst_9), Eq.{1} Nat (FiniteDimensional.finrank.{u3, u1} R (Subtype.{succ u1} M₂ (fun (x : M₂) => Membership.mem.{u1, u1} M₂ (Submodule.{u3, u1} R M₂ (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u3, u1} R M₂ (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_10) M₂ (Submodule.setLike.{u3, u1} R M₂ (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_10)) x (Submodule.map.{u3, u3, u2, u1, max u2 u1} R R M M₂ (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10) (LinearMap.instSemilinearMapClassLinearMap.{u3, u3, u2, u1} R R M M₂ (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6)))) (LinearEquiv.toLinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 f) p))) (Ring.toSemiring.{u3} R _inst_6) (Submodule.addCommGroup.{u3, u1} R M₂ _inst_6 _inst_8 _inst_10 (Submodule.map.{u3, u3, u2, u1, max u2 u1} R R M M₂ (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10) (LinearMap.instSemilinearMapClassLinearMap.{u3, u3, u2, u1} R R M M₂ (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6)))) (LinearEquiv.toLinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 f) p)) (Submodule.module.{u3, u1} R M₂ (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_10 (Submodule.map.{u3, u3, u2, u1, max u2 u1} R R M M₂ (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomSurjective.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (LinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10) (LinearMap.instSemilinearMapClassLinearMap.{u3, u3, u2, u1} R R M M₂ (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6)))) (LinearEquiv.toLinearMap.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10 f) p))) (FiniteDimensional.finrank.{u3, u2} R (Subtype.{succ u2} M (fun (x : M) => Membership.mem.{u2, u2} M (Submodule.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) _inst_9) (SetLike.instMembership.{u2, u2} (Submodule.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) _inst_9) M (Submodule.setLike.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) _inst_9)) x p)) (Ring.toSemiring.{u3} R _inst_6) (Submodule.addCommGroup.{u3, u2} R M _inst_6 _inst_7 _inst_9 p) (Submodule.module.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) _inst_9 p))
 Case conversion may be inaccurate. Consider using '#align linear_equiv.finrank_map_eq LinearEquiv.finrank_map_eqₓ'. -/
 /-- Pushforwards of finite-dimensional submodules along a `linear_equiv` have the same finrank. -/
 theorem finrank_map_eq (f : M ≃ₗ[R] M₂) (p : Submodule R M) :
@@ -339,7 +339,7 @@ variable [Ring K] [AddCommGroup V] [Module K V] {V₂ : Type v'} [AddCommGroup V
 lean 3 declaration is
   forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {V₂ : Type.{u3}} [_inst_4 : AddCommGroup.{u3} V₂] [_inst_5 : Module.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4)] {f : LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5}, (Function.Injective.{succ u2, succ u3} V V₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) (fun (_x : LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) => V -> V₂) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) f)) -> (Eq.{1} Nat (FiniteDimensional.finrank.{u1, u3} K (coeSort.{succ u3, succ (succ u3)} (Submodule.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5) Type.{u3} (SetLike.hasCoeToSort.{u3, u3} (Submodule.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5) V₂ (Submodule.setLike.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5)) (LinearMap.range.{u1, u1, u2, u3, max u2 u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) (RingHomSurjective.ids.{u1} K (Ring.toSemiring.{u1} K _inst_1)) f)) (Ring.toSemiring.{u1} K _inst_1) (Submodule.addCommGroup.{u1, u3} K V₂ _inst_1 _inst_4 _inst_5 (LinearMap.range.{u1, u1, u2, u3, max u2 u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) (RingHomSurjective.ids.{u1} K (Ring.toSemiring.{u1} K _inst_1)) f)) (Submodule.module.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5 (LinearMap.range.{u1, u1, u2, u3, max u2 u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) (RingHomSurjective.ids.{u1} K (Ring.toSemiring.{u1} K _inst_1)) f))) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3))
 but is expected to have type
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(AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (NonAssocRing.toNonAssocSemiring.{u1} K (Ring.toNonAssocRing.{u1} K _inst_1)))) (RingHomSurjective.ids.{u1} K (Ring.toSemiring.{u1} K _inst_1)) f)) (Submodule.module.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5 (LinearMap.range.{u1, u1, u2, u3, max u2 u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (NonAssocRing.toNonAssocSemiring.{u1} K (Ring.toNonAssocRing.{u1} K _inst_1))) (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (NonAssocRing.toNonAssocSemiring.{u1} K (Ring.toNonAssocRing.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (NonAssocRing.toNonAssocSemiring.{u1} K (Ring.toNonAssocRing.{u1} K _inst_1)))) (RingHomSurjective.ids.{u1} K (Ring.toSemiring.{u1} K _inst_1)) f))) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3))
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {V₂ : Type.{u3}} [_inst_4 : AddCommGroup.{u3} V₂] [_inst_5 : Module.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4)] {f : LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5}, (Function.Injective.{succ u2, succ u3} V V₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) V (fun (_x : V) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : V) => V₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) f)) -> (Eq.{1} Nat (FiniteDimensional.finrank.{u1, u3} K (Subtype.{succ u3} V₂ (fun (x : V₂) => Membership.mem.{u3, u3} V₂ (Submodule.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5) (SetLike.instMembership.{u3, u3} (Submodule.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5) V₂ (Submodule.setLike.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5)) x (LinearMap.range.{u1, u1, u2, u3, max u2 u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) (RingHomSurjective.ids.{u1} K (Ring.toSemiring.{u1} K _inst_1)) f))) (Ring.toSemiring.{u1} K _inst_1) (Submodule.addCommGroup.{u1, u3} K V₂ _inst_1 _inst_4 _inst_5 (LinearMap.range.{u1, u1, u2, u3, max u2 u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) (RingHomSurjective.ids.{u1} K (Ring.toSemiring.{u1} K _inst_1)) f)) (Submodule.module.{u1, u3} K V₂ (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_5 (LinearMap.range.{u1, u1, u2, u3, max u2 u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (LinearMap.{u1, u1, u2, u3} K K (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1))) V V₂ (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u3} K K V V₂ (Ring.toSemiring.{u1} K _inst_1) (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_4) _inst_3 _inst_5 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K _inst_1)))) (RingHomSurjective.ids.{u1} K (Ring.toSemiring.{u1} K _inst_1)) f))) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3))
 Case conversion may be inaccurate. Consider using '#align linear_map.finrank_range_of_inj LinearMap.finrank_range_of_injₓ'. -/
 /-- The dimensions of the domain and range of an injective linear map are equal. -/
 theorem finrank_range_of_inj {f : V →ₗ[K] V₂} (hf : Function.Injective f) :
@@ -755,7 +755,7 @@ variable {F E : Type _} [CommRing F] [Ring E] [Algebra F E]
 lean 3 declaration is
   forall {F : Type.{u1}} {E : Type.{u2}} [_inst_1 : CommRing.{u1} F] [_inst_2 : Ring.{u2} E] [_inst_3 : Algebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2)] (S : Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3), Eq.{succ (succ u2)} Cardinal.{u2} (Module.rank.{u1, u2} F (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) E (Submodule.setLike.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))) (coeFn.{succ u2, succ u2} (OrderEmbedding.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Preorder.toLE.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (Preorder.toLE.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteSemilatticeInf.toPartialOrder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Submodule.completeLattice.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))))) (fun (_x : RelEmbedding.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (LE.le.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Preorder.toLE.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (LE.le.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Preorder.toLE.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) 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 but is expected to have type
-  forall {F : Type.{u2}} {E : Type.{u1}} [_inst_1 : CommRing.{u2} F] [_inst_2 : Ring.{u1} E] [_inst_3 : Algebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2)] (S : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3), Eq.{succ (succ u1)} Cardinal.{u1} (Module.rank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) S) (SetLike.instMembership.{u1, u1} ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) S) E (Submodule.setLike.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))) x 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(Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) 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_inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F 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Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => LE.le.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) => LE.le.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E 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(Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E 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u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => LE.le.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) => LE.le.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} 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(CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) => LE.le.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Subalgebra.toSubmodule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) S))) (Module.rank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Ring.toSemiring.{u2} F (CommRing.toRing.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (NonAssocRing.toNonUnitalNonAssocRing.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Ring.toNonAssocRing.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Subalgebra.toRing.{u2, u1} F E _inst_1 _inst_2 _inst_3 S))))) (Subalgebra.instModuleSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToNonAssocSemiringToSubsemiring.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3 S))
+  forall {F : Type.{u2}} {E : Type.{u1}} [_inst_1 : CommRing.{u2} F] [_inst_2 : Ring.{u1} E] [_inst_3 : Algebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2)] (S : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3), Eq.{succ (succ u1)} Cardinal.{u1} (Module.rank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) S) 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u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => LE.le.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) => LE.le.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => LE.le.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) => LE.le.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Subalgebra.toSubmodule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) S))) (Module.rank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (NonAssocRing.toNonUnitalNonAssocRing.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Ring.toNonAssocRing.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Subalgebra.toRing.{u2, u1} F E _inst_1 _inst_2 _inst_3 S))))) (Subalgebra.instModuleSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToNonAssocSemiringToSubsemiring.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3 S))
 Case conversion may be inaccurate. Consider using '#align subalgebra.rank_to_submodule Subalgebra.rank_toSubmoduleₓ'. -/
 @[simp]
 theorem Subalgebra.rank_toSubmodule (S : Subalgebra F E) :
@@ -767,7 +767,7 @@ theorem Subalgebra.rank_toSubmodule (S : Subalgebra F E) :
 lean 3 declaration is
   forall {F : Type.{u1}} {E : Type.{u2}} [_inst_1 : CommRing.{u1} F] [_inst_2 : Ring.{u2} E] [_inst_3 : Algebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2)] (S : Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3), Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} F (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) E (Submodule.setLike.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))) (coeFn.{succ u2, succ u2} (OrderEmbedding.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Preorder.toLE.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (Preorder.toLE.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteSemilatticeInf.toPartialOrder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Submodule.completeLattice.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))))) (fun (_x : RelEmbedding.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Submodule.{u1, 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(CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Submodule.completeLattice.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E 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(SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) S) (Subalgebra.toRing.{u1, u2} F E _inst_1 _inst_2 _inst_3 S)))) (Subalgebra.module.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3 S))
 but is expected to have type
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(CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))))) (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => LE.le.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) => LE.le.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => LE.le.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) => LE.le.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Subalgebra.toSubmodule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) S))) (FiniteDimensional.finrank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Ring.toSemiring.{u2} F (CommRing.toRing.{u2} F _inst_1)) (Ring.toAddCommGroup.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Subalgebra.toRing.{u2, u1} F E _inst_1 _inst_2 _inst_3 S)) (Subalgebra.instModuleSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToNonAssocSemiringToSubsemiring.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3 S))
+  forall {F : Type.{u2}} {E : Type.{u1}} [_inst_1 : CommRing.{u2} F] [_inst_2 : Ring.{u1} E] [_inst_3 : Algebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2)] (S : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3), Eq.{1} Nat (FiniteDimensional.finrank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) S) (SetLike.instMembership.{u1, u1} ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) S) E (Submodule.setLike.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))) x (FunLike.coe.{succ u1, succ u1, succ u1} (OrderEmbedding.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))))) (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (fun (a : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) a) (RelHomClass.toFunLike.{u1, u1, u1} (OrderEmbedding.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))))) (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => LE.le.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) => LE.le.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} 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(Ring.toSemiring.{u1} E _inst_2) _inst_3))))))) (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => LE.le.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} 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(Ring.toSemiring.{u1} E _inst_2) _inst_3)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) => LE.le.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) 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_inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) 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(CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Subalgebra.toSubmodule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) S))) (FiniteDimensional.finrank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (Ring.toAddCommGroup.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Subalgebra.toRing.{u2, u1} F E _inst_1 _inst_2 _inst_3 S)) (Subalgebra.instModuleSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToNonAssocSemiringToSubsemiring.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3 S))
 Case conversion may be inaccurate. Consider using '#align subalgebra.finrank_to_submodule Subalgebra.finrank_toSubmoduleₓ'. -/
 @[simp]
 theorem Subalgebra.finrank_toSubmodule (S : Subalgebra F E) :
@@ -788,7 +788,7 @@ theorem subalgebra_top_rank_eq_submodule_top_rank :
 lean 3 declaration is
   forall {F : Type.{u1}} {E : Type.{u2}} [_inst_1 : CommRing.{u1} F] [_inst_2 : Ring.{u2} E] [_inst_3 : Algebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2)], Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} F (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Top.top.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toHasTop.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.Subalgebra.completeLattice.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Top.top.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toHasTop.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.Subalgebra.completeLattice.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Top.top.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toHasTop.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.Subalgebra.completeLattice.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (Ring.toNonAssocRing.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Top.top.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toHasTop.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.Subalgebra.completeLattice.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (Subalgebra.toRing.{u1, u2} F E _inst_1 _inst_2 _inst_3 (Top.top.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toHasTop.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.Subalgebra.completeLattice.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))))) (Subalgebra.module.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3 (Top.top.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toHasTop.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.Subalgebra.completeLattice.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (FiniteDimensional.finrank.{u1, u2} F (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} F E (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E (NonUnitalNonAssocRing.toAddCommGroup.{u2} E (NonAssocRing.toNonUnitalNonAssocRing.{u2} E (Ring.toNonAssocRing.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} F E (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E (NonUnitalNonAssocRing.toAddCommGroup.{u2} E (NonAssocRing.toNonUnitalNonAssocRing.{u2} E (Ring.toNonAssocRing.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) E (Submodule.setLike.{u1, u2} F E (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E (NonUnitalNonAssocRing.toAddCommGroup.{u2} E (NonAssocRing.toNonUnitalNonAssocRing.{u2} E (Ring.toNonAssocRing.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))) (Top.top.{u2} (Submodule.{u1, u2} F E (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E (NonUnitalNonAssocRing.toAddCommGroup.{u2} E (NonAssocRing.toNonUnitalNonAssocRing.{u2} E (Ring.toNonAssocRing.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Submodule.hasTop.{u1, u2} F E (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E (NonUnitalNonAssocRing.toAddCommGroup.{u2} E (NonAssocRing.toNonUnitalNonAssocRing.{u2} E (Ring.toNonAssocRing.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1)) (Submodule.addCommGroup.{u1, u2} F E (CommRing.toRing.{u1} F _inst_1) (NonUnitalNonAssocRing.toAddCommGroup.{u2} E (NonAssocRing.toNonUnitalNonAssocRing.{u2} E (Ring.toNonAssocRing.{u2} E _inst_2))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Top.top.{u2} (Submodule.{u1, u2} F E (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E (NonUnitalNonAssocRing.toAddCommGroup.{u2} E (NonAssocRing.toNonUnitalNonAssocRing.{u2} E (Ring.toNonAssocRing.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Submodule.hasTop.{u1, u2} F E (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E (NonUnitalNonAssocRing.toAddCommGroup.{u2} E (NonAssocRing.toNonUnitalNonAssocRing.{u2} E (Ring.toNonAssocRing.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (Submodule.module.{u1, u2} F E (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E (NonUnitalNonAssocRing.toAddCommGroup.{u2} E (NonAssocRing.toNonUnitalNonAssocRing.{u2} E (Ring.toNonAssocRing.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Top.top.{u2} (Submodule.{u1, u2} F E (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E (NonUnitalNonAssocRing.toAddCommGroup.{u2} E (NonAssocRing.toNonUnitalNonAssocRing.{u2} E (Ring.toNonAssocRing.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Submodule.hasTop.{u1, u2} F E (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E (NonUnitalNonAssocRing.toAddCommGroup.{u2} E (NonAssocRing.toNonUnitalNonAssocRing.{u2} E (Ring.toNonAssocRing.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))))
 but is expected to have type
-  forall {F : Type.{u2}} {E : Type.{u1}} [_inst_1 : CommRing.{u2} F] [_inst_2 : Ring.{u1} E] [_inst_3 : Algebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2)], Eq.{1} Nat (FiniteDimensional.finrank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x (Top.top.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (CompleteLattice.toTop.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (Ring.toSemiring.{u2} F (CommRing.toRing.{u2} F _inst_1)) (Ring.toAddCommGroup.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x (Top.top.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (CompleteLattice.toTop.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (Subalgebra.toRing.{u2, u1} F E _inst_1 _inst_2 _inst_3 (Top.top.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (CompleteLattice.toTop.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (Subalgebra.instModuleSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToNonAssocSemiringToSubsemiring.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3 (Top.top.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (CompleteLattice.toTop.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (FiniteDimensional.finrank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u2, u1} F E (Ring.toSemiring.{u2} F (CommRing.toRing.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} E (NonAssocRing.toNonUnitalNonAssocRing.{u1} E (Ring.toNonAssocRing.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} F E (Ring.toSemiring.{u2} F (CommRing.toRing.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} E (NonAssocRing.toNonUnitalNonAssocRing.{u1} E (Ring.toNonAssocRing.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) E (Submodule.setLike.{u2, u1} F E (Ring.toSemiring.{u2} F (CommRing.toRing.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} E (NonAssocRing.toNonUnitalNonAssocRing.{u1} E (Ring.toNonAssocRing.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))) x (Top.top.{u1} (Submodule.{u2, u1} F E (Ring.toSemiring.{u2} F (CommRing.toRing.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} E (NonAssocRing.toNonUnitalNonAssocRing.{u1} E (Ring.toNonAssocRing.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.instTopSubmodule.{u2, u1} F E (Ring.toSemiring.{u2} F (CommRing.toRing.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} E (NonAssocRing.toNonUnitalNonAssocRing.{u1} E (Ring.toNonAssocRing.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (Ring.toSemiring.{u2} F (CommRing.toRing.{u2} F _inst_1)) (Submodule.addCommGroup.{u2, u1} F E (CommRing.toRing.{u2} F _inst_1) (Ring.toAddCommGroup.{u1} E _inst_2) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Top.top.{u1} (Submodule.{u2, u1} F E (Ring.toSemiring.{u2} F (CommRing.toRing.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} E (NonAssocRing.toNonUnitalNonAssocRing.{u1} E (Ring.toNonAssocRing.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.instTopSubmodule.{u2, u1} F E (Ring.toSemiring.{u2} F (CommRing.toRing.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} E (NonAssocRing.toNonUnitalNonAssocRing.{u1} E (Ring.toNonAssocRing.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) (Submodule.module.{u2, u1} F E (Ring.toSemiring.{u2} F (CommRing.toRing.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} E (NonAssocRing.toNonUnitalNonAssocRing.{u1} E (Ring.toNonAssocRing.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Top.top.{u1} (Submodule.{u2, u1} F E (Ring.toSemiring.{u2} F (CommRing.toRing.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} E (NonAssocRing.toNonUnitalNonAssocRing.{u1} E (Ring.toNonAssocRing.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.instTopSubmodule.{u2, u1} F E (Ring.toSemiring.{u2} F (CommRing.toRing.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} E (NonAssocRing.toNonUnitalNonAssocRing.{u1} E (Ring.toNonAssocRing.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))
+  forall {F : Type.{u2}} {E : Type.{u1}} [_inst_1 : CommRing.{u2} F] [_inst_2 : Ring.{u1} E] [_inst_3 : Algebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2)], Eq.{1} Nat (FiniteDimensional.finrank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x (Top.top.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (CompleteLattice.toTop.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (Ring.toAddCommGroup.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x (Top.top.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (CompleteLattice.toTop.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (Subalgebra.toRing.{u2, u1} F E _inst_1 _inst_2 _inst_3 (Top.top.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (CompleteLattice.toTop.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (Subalgebra.instModuleSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToNonAssocSemiringToSubsemiring.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3 (Top.top.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (CompleteLattice.toTop.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (FiniteDimensional.finrank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} E (NonAssocRing.toNonUnitalNonAssocRing.{u1} E (Ring.toNonAssocRing.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} E (NonAssocRing.toNonUnitalNonAssocRing.{u1} E (Ring.toNonAssocRing.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) E (Submodule.setLike.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} E (NonAssocRing.toNonUnitalNonAssocRing.{u1} E (Ring.toNonAssocRing.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))) x (Top.top.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} E (NonAssocRing.toNonUnitalNonAssocRing.{u1} E (Ring.toNonAssocRing.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.instTopSubmodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} E (NonAssocRing.toNonUnitalNonAssocRing.{u1} E (Ring.toNonAssocRing.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (Submodule.addCommGroup.{u2, u1} F E (CommRing.toRing.{u2} F _inst_1) (Ring.toAddCommGroup.{u1} E _inst_2) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Top.top.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} E (NonAssocRing.toNonUnitalNonAssocRing.{u1} E (Ring.toNonAssocRing.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.instTopSubmodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} E (NonAssocRing.toNonUnitalNonAssocRing.{u1} E (Ring.toNonAssocRing.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) (Submodule.module.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} E (NonAssocRing.toNonUnitalNonAssocRing.{u1} E (Ring.toNonAssocRing.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Top.top.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} E (NonAssocRing.toNonUnitalNonAssocRing.{u1} E (Ring.toNonAssocRing.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.instTopSubmodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} E (NonAssocRing.toNonUnitalNonAssocRing.{u1} E (Ring.toNonAssocRing.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))
 Case conversion may be inaccurate. Consider using '#align subalgebra_top_finrank_eq_submodule_top_finrank subalgebra_top_finrank_eq_submodule_top_finrankₓ'. -/
 theorem subalgebra_top_finrank_eq_submodule_top_finrank :
     finrank F (⊤ : Subalgebra F E) = finrank F (⊤ : Submodule F E) :=
@@ -813,7 +813,7 @@ variable [StrongRankCondition F] [NoZeroSMulDivisors F E] [Nontrivial E]
 lean 3 declaration is
   forall {F : Type.{u1}} {E : Type.{u2}} [_inst_1 : CommRing.{u1} F] [_inst_2 : Ring.{u2} E] [_inst_3 : Algebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2)] [_inst_4 : StrongRankCondition.{u1} F (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1))] [_inst_5 : NoZeroSMulDivisors.{u1, u2} F E (MulZeroClass.toHasZero.{u1} F (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} F (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} F (NonAssocRing.toNonUnitalNonAssocRing.{u1} F (Ring.toNonAssocRing.{u1} F (CommRing.toRing.{u1} F _inst_1)))))) (MulZeroClass.toHasZero.{u2} E (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} E (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} E (NonAssocRing.toNonUnitalNonAssocRing.{u2} E (Ring.toNonAssocRing.{u2} E _inst_2))))) (SMulZeroClass.toHasSmul.{u1, u2} F E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} F E (MulZeroClass.toHasZero.{u1} F (MulZeroOneClass.toMulZeroClass.{u1} F (MonoidWithZero.toMulZeroOneClass.{u1} F (Semiring.toMonoidWithZero.{u1} F (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} F E (Semiring.toMonoidWithZero.{u1} F (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))))] [_inst_6 : Nontrivial.{u2} E], Eq.{succ (succ u2)} Cardinal.{u2} (Module.rank.{u1, u2} F (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toHasBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.Subalgebra.completeLattice.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toHasBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.Subalgebra.completeLattice.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (NonUnitalNonAssocRing.toAddCommGroup.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toHasBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.Subalgebra.completeLattice.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toHasBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.Subalgebra.completeLattice.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (Ring.toNonAssocRing.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toHasBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.Subalgebra.completeLattice.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (Subalgebra.toRing.{u1, u2} F E _inst_1 _inst_2 _inst_3 (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toHasBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.Subalgebra.completeLattice.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))))))) (Subalgebra.module.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3 (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toHasBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.Subalgebra.completeLattice.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (OfNat.ofNat.{succ u2} Cardinal.{u2} 1 (OfNat.mk.{succ u2} Cardinal.{u2} 1 (One.one.{succ u2} Cardinal.{u2} Cardinal.hasOne.{u2})))
 but is expected to have type
-  forall {F : Type.{u1}} {E : Type.{u2}} [_inst_1 : CommRing.{u1} F] [_inst_2 : Ring.{u2} E] [_inst_3 : Algebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2)] [_inst_4 : StrongRankCondition.{u1} F (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1))] [_inst_5 : NoZeroSMulDivisors.{u1, u2} F E (CommMonoidWithZero.toZero.{u1} F (CommSemiring.toCommMonoidWithZero.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1))) (MonoidWithZero.toZero.{u2} E (Semiring.toMonoidWithZero.{u2} E (Ring.toSemiring.{u2} E _inst_2))) (Algebra.toSMul.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)] [_inst_6 : Nontrivial.{u2} E], Eq.{succ (succ u2)} Cardinal.{u2} (Module.rank.{u1, u2} F (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) x (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) x (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) x (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) x (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (Ring.toNonAssocRing.{u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) x (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (Subalgebra.toRing.{u1, u2} F E _inst_1 _inst_2 _inst_3 (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))))))) (Subalgebra.instModuleSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToNonAssocSemiringToSubsemiring.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3 (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (OfNat.ofNat.{succ u2} Cardinal.{u2} 1 (One.toOfNat1.{succ u2} Cardinal.{u2} Cardinal.instOneCardinal.{u2}))
+  forall {F : Type.{u1}} {E : Type.{u2}} [_inst_1 : CommRing.{u1} F] [_inst_2 : Ring.{u2} E] [_inst_3 : Algebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2)] [_inst_4 : StrongRankCondition.{u1} F (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1))] [_inst_5 : NoZeroSMulDivisors.{u1, u2} F E (CommMonoidWithZero.toZero.{u1} F (CommSemiring.toCommMonoidWithZero.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1))) (MonoidWithZero.toZero.{u2} E (Semiring.toMonoidWithZero.{u2} E (Ring.toSemiring.{u2} E _inst_2))) (Algebra.toSMul.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)] [_inst_6 : Nontrivial.{u2} E], Eq.{succ (succ u2)} Cardinal.{u2} (Module.rank.{u1, u2} F (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) x (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) x (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) x (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) x (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (Ring.toNonAssocRing.{u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) x (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (Subalgebra.toRing.{u1, u2} F E _inst_1 _inst_2 _inst_3 (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))))))) (Subalgebra.instModuleSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToNonAssocSemiringToSubsemiring.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3 (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (OfNat.ofNat.{succ u2} Cardinal.{u2} 1 (One.toOfNat1.{succ u2} Cardinal.{u2} Cardinal.instOneCardinal.{u2}))
 Case conversion may be inaccurate. Consider using '#align subalgebra.rank_bot Subalgebra.rank_botₓ'. -/
 @[simp]
 theorem Subalgebra.rank_bot : Module.rank F (⊥ : Subalgebra F E) = 1 :=
@@ -829,7 +829,7 @@ theorem Subalgebra.rank_bot : Module.rank F (⊥ : Subalgebra F E) = 1 :=
 lean 3 declaration is
   forall {F : Type.{u1}} {E : Type.{u2}} [_inst_1 : CommRing.{u1} F] [_inst_2 : Ring.{u2} E] [_inst_3 : Algebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2)] [_inst_4 : StrongRankCondition.{u1} F (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1))] [_inst_5 : NoZeroSMulDivisors.{u1, u2} F E (MulZeroClass.toHasZero.{u1} F (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} F (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} F (NonAssocRing.toNonUnitalNonAssocRing.{u1} F (Ring.toNonAssocRing.{u1} F (CommRing.toRing.{u1} F _inst_1)))))) (MulZeroClass.toHasZero.{u2} E (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} E (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} E (NonAssocRing.toNonUnitalNonAssocRing.{u2} E (Ring.toNonAssocRing.{u2} E _inst_2))))) (SMulZeroClass.toHasSmul.{u1, u2} F E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} F E (MulZeroClass.toHasZero.{u1} F (MulZeroOneClass.toMulZeroClass.{u1} F (MonoidWithZero.toMulZeroOneClass.{u1} F (Semiring.toMonoidWithZero.{u1} F (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} F E (Semiring.toMonoidWithZero.{u1} F (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))))] [_inst_6 : Nontrivial.{u2} E], Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} F (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toHasBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.Subalgebra.completeLattice.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toHasBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.Subalgebra.completeLattice.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (NonAssocRing.toNonUnitalNonAssocRing.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toHasBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.Subalgebra.completeLattice.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (Ring.toNonAssocRing.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toHasBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.Subalgebra.completeLattice.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (Subalgebra.toRing.{u1, u2} F E _inst_1 _inst_2 _inst_3 (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toHasBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.Subalgebra.completeLattice.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))))) (Subalgebra.module.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3 (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toHasBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.Subalgebra.completeLattice.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))
 but is expected to have type
-  forall {F : Type.{u2}} {E : Type.{u1}} [_inst_1 : CommRing.{u2} F] [_inst_2 : Ring.{u1} E] [_inst_3 : Algebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2)] [_inst_4 : StrongRankCondition.{u2} F (Ring.toSemiring.{u2} F (CommRing.toRing.{u2} F _inst_1))] [_inst_5 : NoZeroSMulDivisors.{u2, u1} F E (CommMonoidWithZero.toZero.{u2} F (CommSemiring.toCommMonoidWithZero.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1))) (MonoidWithZero.toZero.{u1} E (Semiring.toMonoidWithZero.{u1} E (Ring.toSemiring.{u1} E _inst_2))) (Algebra.toSMul.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)] [_inst_6 : Nontrivial.{u1} E], Eq.{1} Nat (FiniteDimensional.finrank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x (Bot.bot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (CompleteLattice.toBot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (Ring.toSemiring.{u2} F (CommRing.toRing.{u2} F _inst_1)) (Ring.toAddCommGroup.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x (Bot.bot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (CompleteLattice.toBot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (Subalgebra.toRing.{u2, u1} F E _inst_1 _inst_2 _inst_3 (Bot.bot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (CompleteLattice.toBot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (Subalgebra.instModuleSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToNonAssocSemiringToSubsemiring.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3 (Bot.bot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (CompleteLattice.toBot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))
+  forall {F : Type.{u2}} {E : Type.{u1}} [_inst_1 : CommRing.{u2} F] [_inst_2 : Ring.{u1} E] [_inst_3 : Algebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2)] [_inst_4 : StrongRankCondition.{u2} F (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1))] [_inst_5 : NoZeroSMulDivisors.{u2, u1} F E (CommMonoidWithZero.toZero.{u2} F (CommSemiring.toCommMonoidWithZero.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1))) (MonoidWithZero.toZero.{u1} E (Semiring.toMonoidWithZero.{u1} E (Ring.toSemiring.{u1} E _inst_2))) (Algebra.toSMul.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)] [_inst_6 : Nontrivial.{u1} E], Eq.{1} Nat (FiniteDimensional.finrank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x (Bot.bot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (CompleteLattice.toBot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (Ring.toAddCommGroup.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x (Bot.bot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (CompleteLattice.toBot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (Subalgebra.toRing.{u2, u1} F E _inst_1 _inst_2 _inst_3 (Bot.bot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (CompleteLattice.toBot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (Subalgebra.instModuleSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToNonAssocSemiringToSubsemiring.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3 (Bot.bot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (CompleteLattice.toBot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))
 Case conversion may be inaccurate. Consider using '#align subalgebra.finrank_bot Subalgebra.finrank_botₓ'. -/
 @[simp]
 theorem Subalgebra.finrank_bot : finrank F (⊥ : Subalgebra F E) = 1 :=

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

@@ -755,7 +755,7 @@ variable {F E : Type _} [CommRing F] [Ring E] [Algebra F E]
 lean 3 declaration is
   forall {F : Type.{u1}} {E : Type.{u2}} [_inst_1 : CommRing.{u1} F] [_inst_2 : Ring.{u2} E] [_inst_3 : Algebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2)] (S : Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3), Eq.{succ (succ u2)} Cardinal.{u2} (Module.rank.{u1, u2} F (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) E (Submodule.setLike.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))) (coeFn.{succ u2, succ u2} (OrderEmbedding.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Preorder.toLE.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (Preorder.toLE.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteSemilatticeInf.toPartialOrder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) 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 but is expected to have type
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_inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => LE.le.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (Subalgebra.toSubmodule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) S))) (Module.rank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Ring.toSemiring.{u2} F (CommRing.toRing.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (NonAssocRing.toNonUnitalNonAssocRing.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Ring.toNonAssocRing.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Subalgebra.toRing.{u2, u1} F E _inst_1 _inst_2 _inst_3 S))))) (Subalgebra.instModuleSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToNonAssocSemiringToSubsemiring.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3 S))
+  forall {F : Type.{u2}} {E : Type.{u1}} [_inst_1 : CommRing.{u2} F] [_inst_2 : Ring.{u1} E] [_inst_3 : Algebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2)] (S : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3), Eq.{succ (succ u1)} Cardinal.{u1} (Module.rank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) S) (SetLike.instMembership.{u1, u1} ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) S) E (Submodule.setLike.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))) x (FunLike.coe.{succ u1, succ u1, succ u1} (OrderEmbedding.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))))) (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (fun (a : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) a) (RelHomClass.toFunLike.{u1, u1, u1} (OrderEmbedding.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Subalgebra.toSubmodule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) S))) (Module.rank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Ring.toSemiring.{u2} F (CommRing.toRing.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (NonAssocRing.toNonUnitalNonAssocRing.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Ring.toNonAssocRing.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Subalgebra.toRing.{u2, u1} F E _inst_1 _inst_2 _inst_3 S))))) (Subalgebra.instModuleSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToNonAssocSemiringToSubsemiring.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3 S))
 Case conversion may be inaccurate. Consider using '#align subalgebra.rank_to_submodule Subalgebra.rank_toSubmoduleₓ'. -/
 @[simp]
 theorem Subalgebra.rank_toSubmodule (S : Subalgebra F E) :
@@ -767,7 +767,7 @@ theorem Subalgebra.rank_toSubmodule (S : Subalgebra F E) :
 lean 3 declaration is
   forall {F : Type.{u1}} {E : Type.{u2}} [_inst_1 : CommRing.{u1} F] [_inst_2 : Ring.{u2} E] [_inst_3 : Algebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2)] (S : Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3), Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} F (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) E (Submodule.setLike.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))) (coeFn.{succ u2, succ u2} (OrderEmbedding.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Preorder.toLE.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (Preorder.toLE.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteSemilatticeInf.toPartialOrder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Submodule.completeLattice.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))))) (fun (_x : RelEmbedding.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (LE.le.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Preorder.toLE.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (LE.le.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Preorder.toLE.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteSemilatticeInf.toPartialOrder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Submodule.completeLattice.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))))))) => (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) -> (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))) (RelEmbedding.hasCoeToFun.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (LE.le.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Preorder.toLE.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) 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(SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) S) (Subalgebra.toRing.{u1, u2} F E _inst_1 _inst_2 _inst_3 S)))) (Subalgebra.module.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3 S))
 but is expected to have type
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_inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (FunLike.coe.{succ u1, succ u1, succ u1} (Function.Embedding.{succ u1, succ u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))) (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (fun (_x : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) _x) (EmbeddingLike.toFunLike.{succ u1, succ u1, succ u1} (Function.Embedding.{succ u1, succ u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))) (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Function.instEmbeddingLikeEmbedding.{succ u1, succ u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) (RelEmbedding.toEmbedding.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => LE.le.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) => LE.le.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (Subalgebra.toSubmodule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) S))) (FiniteDimensional.finrank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Ring.toSemiring.{u2} F (CommRing.toRing.{u2} F _inst_1)) (Ring.toAddCommGroup.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Subalgebra.toRing.{u2, u1} F E _inst_1 _inst_2 _inst_3 S)) (Subalgebra.instModuleSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToNonAssocSemiringToSubsemiring.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3 S))
+  forall {F : Type.{u2}} {E : Type.{u1}} [_inst_1 : CommRing.{u2} F] [_inst_2 : Ring.{u1} E] [_inst_3 : Algebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2)] (S : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3), Eq.{1} Nat (FiniteDimensional.finrank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) S) (SetLike.instMembership.{u1, u1} ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) S) E (Submodule.setLike.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))) x (FunLike.coe.{succ u1, succ u1, succ u1} (OrderEmbedding.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) 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(Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => LE.le.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) => LE.le.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Preorder.toLE.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Subalgebra.toSubmodule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) S))) (FiniteDimensional.finrank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Ring.toSemiring.{u2} F (CommRing.toRing.{u2} F _inst_1)) (Ring.toAddCommGroup.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x S)) (Subalgebra.toRing.{u2, u1} F E _inst_1 _inst_2 _inst_3 S)) (Subalgebra.instModuleSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToNonAssocSemiringToSubsemiring.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3 S))
 Case conversion may be inaccurate. Consider using '#align subalgebra.finrank_to_submodule Subalgebra.finrank_toSubmoduleₓ'. -/
 @[simp]
 theorem Subalgebra.finrank_toSubmodule (S : Subalgebra F E) :

mathlib commit https://github.com/leanprover-community/mathlib/commit/7ebf83ed9c262adbf983ef64d5e8c2ae94b625f4

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Chris Hughes, Anne Baanen
 
 ! This file was ported from Lean 3 source module linear_algebra.finrank
-! leanprover-community/mathlib commit 347636a7a80595d55bedf6e6fbd996a3c39da69a
+! leanprover-community/mathlib commit 9a48a083b390d9b84a71efbdc4e8dfa26a687104
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.LinearAlgebra.Dimension
 /-!
 # Finite dimension of vector spaces
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 Definition of the rank of a module, or dimension of a vector space, as a natural number.
 
 ## Main definitions

mathlib commit https://github.com/leanprover-community/mathlib/commit/347636a7a80595d55bedf6e6fbd996a3c39da69a

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Chris Hughes, Anne Baanen
 
 ! This file was ported from Lean 3 source module linear_algebra.finrank
-! leanprover-community/mathlib commit 8535b76e601f11868af3e612fbecb730998a5631
+! leanprover-community/mathlib commit 347636a7a80595d55bedf6e6fbd996a3c39da69a
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -92,7 +92,7 @@ theorem finrank_le_of_rank_le {n : ℕ} (h : Module.rank K V ≤ ↑n) : finrank
 
 /- warning: finite_dimensional.finrank_lt_of_rank_lt -> FiniteDimensional.finrank_lt_of_rank_lt is a dubious translation:
 lean 3 declaration is
-  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {n : Nat}, (LT.lt.{succ u2} Cardinal.{u2} (Preorder.toLT.{succ u2} Cardinal.{u2} (PartialOrder.toPreorder.{succ u2} Cardinal.{u2} (OrderedAddCommMonoid.toPartialOrder.{succ u2} Cardinal.{u2} (OrderedSemiring.toOrderedAddCommMonoid.{succ u2} Cardinal.{u2} (OrderedCommSemiring.toOrderedSemiring.{succ u2} Cardinal.{u2} (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{succ u2} Cardinal.{u2} Cardinal.canonicallyOrderedCommSemiring.{u2})))))) (Module.rank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) ((fun (a : Type) (b : Type.{succ u2}) [self : HasLiftT.{1, succ (succ u2)} a b] => self.0) Nat Cardinal.{u2} (HasLiftT.mk.{1, succ (succ u2)} Nat Cardinal.{u2} (CoeTCₓ.coe.{1, succ (succ u2)} Nat Cardinal.{u2} (Nat.castCoe.{succ u2} Cardinal.{u2} Cardinal.hasNatCast.{u2}))) n)) -> (LT.lt.{0} Nat Nat.hasLt (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3) n)
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {n : Nat}, (LT.lt.{succ u2} Cardinal.{u2} (Preorder.toLT.{succ u2} Cardinal.{u2} (PartialOrder.toPreorder.{succ u2} Cardinal.{u2} Cardinal.partialOrder.{u2})) (Module.rank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) ((fun (a : Type) (b : Type.{succ u2}) [self : HasLiftT.{1, succ (succ u2)} a b] => self.0) Nat Cardinal.{u2} (HasLiftT.mk.{1, succ (succ u2)} Nat Cardinal.{u2} (CoeTCₓ.coe.{1, succ (succ u2)} Nat Cardinal.{u2} (Nat.castCoe.{succ u2} Cardinal.{u2} Cardinal.hasNatCast.{u2}))) n)) -> (LT.lt.{0} Nat Nat.hasLt (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3) n)
 but is expected to have type
   forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {n : Nat}, (LT.lt.{succ u2} Cardinal.{u2} (Preorder.toLT.{succ u2} Cardinal.{u2} (PartialOrder.toPreorder.{succ u2} Cardinal.{u2} Cardinal.partialOrder.{u2})) (Module.rank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Nat.cast.{succ u2} Cardinal.{u2} Cardinal.instNatCastCardinal.{u2} n)) -> (LT.lt.{0} Nat instLTNat (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3) n)
 Case conversion may be inaccurate. Consider using '#align finite_dimensional.finrank_lt_of_rank_lt FiniteDimensional.finrank_lt_of_rank_ltₓ'. -/
@@ -105,7 +105,7 @@ theorem finrank_lt_of_rank_lt {n : ℕ} (h : Module.rank K V < ↑n) : finrank K
 
 /- warning: finite_dimensional.rank_lt_of_finrank_lt -> FiniteDimensional.rank_lt_of_finrank_lt is a dubious translation:
 lean 3 declaration is
-  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {n : Nat}, (LT.lt.{0} Nat Nat.hasLt n (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3)) -> (LT.lt.{succ u2} Cardinal.{u2} (Preorder.toLT.{succ u2} Cardinal.{u2} (PartialOrder.toPreorder.{succ u2} Cardinal.{u2} (OrderedAddCommMonoid.toPartialOrder.{succ u2} Cardinal.{u2} (OrderedSemiring.toOrderedAddCommMonoid.{succ u2} Cardinal.{u2} (OrderedCommSemiring.toOrderedSemiring.{succ u2} Cardinal.{u2} (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{succ u2} Cardinal.{u2} Cardinal.canonicallyOrderedCommSemiring.{u2})))))) ((fun (a : Type) (b : Type.{succ u2}) [self : HasLiftT.{1, succ (succ u2)} a b] => self.0) Nat Cardinal.{u2} (HasLiftT.mk.{1, succ (succ u2)} Nat Cardinal.{u2} (CoeTCₓ.coe.{1, succ (succ u2)} Nat Cardinal.{u2} (Nat.castCoe.{succ u2} Cardinal.{u2} Cardinal.hasNatCast.{u2}))) n) (Module.rank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {n : Nat}, (LT.lt.{0} Nat Nat.hasLt n (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3)) -> (LT.lt.{succ u2} Cardinal.{u2} (Preorder.toLT.{succ u2} Cardinal.{u2} (PartialOrder.toPreorder.{succ u2} Cardinal.{u2} Cardinal.partialOrder.{u2})) ((fun (a : Type) (b : Type.{succ u2}) [self : HasLiftT.{1, succ (succ u2)} a b] => self.0) Nat Cardinal.{u2} (HasLiftT.mk.{1, succ (succ u2)} Nat Cardinal.{u2} (CoeTCₓ.coe.{1, succ (succ u2)} Nat Cardinal.{u2} (Nat.castCoe.{succ u2} Cardinal.{u2} Cardinal.hasNatCast.{u2}))) n) (Module.rank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))
 but is expected to have type
   forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {n : Nat}, (LT.lt.{0} Nat instLTNat n (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3)) -> (LT.lt.{succ u2} Cardinal.{u2} (Preorder.toLT.{succ u2} Cardinal.{u2} (PartialOrder.toPreorder.{succ u2} Cardinal.{u2} Cardinal.partialOrder.{u2})) (Nat.cast.{succ u2} Cardinal.{u2} Cardinal.instNatCastCardinal.{u2} n) (Module.rank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))
 Case conversion may be inaccurate. Consider using '#align finite_dimensional.rank_lt_of_finrank_lt FiniteDimensional.rank_lt_of_finrank_ltₓ'. -/
@@ -666,7 +666,7 @@ but is expected to have type
   forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Finset.{u2} V}, (LE.le.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.completeLattice.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))) (Top.top.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.instTopSubmodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) (Submodule.span.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 (Finset.toSet.{u2} V s))) -> (Eq.{1} Nat (Finset.card.{u2} V s) (FiniteDimensional.finrank.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) _inst_2 _inst_3)) -> (Basis.{u2, u1, u2} (Set.Elem.{u2} V (Finset.toSet.{u2} V s)) K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)
 Case conversion may be inaccurate. Consider using '#align finset_basis_of_top_le_span_of_card_eq_finrank finsetBasisOfTopLeSpanOfCardEqFinrankₓ'. -/
 /-- A finset of `finrank K V` vectors forms a basis if they span the whole space. -/
-@[simps]
+@[simps repr_apply]
 noncomputable def finsetBasisOfTopLeSpanOfCardEqFinrank {s : Finset V}
     (le_span : ⊤ ≤ span K (s : Set V)) (card_eq : s.card = finrank K V) : Basis (s : Set V) K V :=
   basisOfTopLeSpanOfCardEqFinrank (coe : (s : Set V) → V)
@@ -681,7 +681,7 @@ but is expected to have type
   forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Set.{u2} V} [_inst_4 : Fintype.{u2} (Set.Elem.{u2} V s)], (LE.le.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.completeLattice.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))) (Top.top.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.instTopSubmodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) (Submodule.span.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 s)) -> (Eq.{1} Nat (Finset.card.{u2} V (Set.toFinset.{u2} V s _inst_4)) (FiniteDimensional.finrank.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) _inst_2 _inst_3)) -> (Basis.{u2, u1, u2} (Set.Elem.{u2} V s) K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)
 Case conversion may be inaccurate. Consider using '#align set_basis_of_top_le_span_of_card_eq_finrank setBasisOfTopLeSpanOfCardEqFinrankₓ'. -/
 /-- A set of `finrank K V` vectors forms a basis if they span the whole space. -/
-@[simps]
+@[simps repr_apply]
 noncomputable def setBasisOfTopLeSpanOfCardEqFinrank {s : Set V} [Fintype s]
     (le_span : ⊤ ≤ span K s) (card_eq : s.toFinset.card = finrank K V) : Basis s K V :=
   basisOfTopLeSpanOfCardEqFinrank (coe : s → V) ((@Subtype.range_coe_subtype _ s).symm ▸ le_span)

mathlib commit https://github.com/leanprover-community/mathlib/commit/039ef89bef6e58b32b62898dd48e9d1a4312bb65

@@ -51,6 +51,7 @@ section Ring
 
 variable [Ring K] [AddCommGroup V] [Module K V] {V₂ : Type v'} [AddCommGroup V₂] [Module K V₂]
 
+#print FiniteDimensional.finrank /-
 /-- The rank of a module as a natural number.
 
 Defined by convention to be `0` if the space has infinite rank.
@@ -61,7 +62,14 @@ of `V` over `K`.
 noncomputable def finrank (R V : Type _) [Semiring R] [AddCommGroup V] [Module R V] : ℕ :=
   (Module.rank R V).toNat
 #align finite_dimensional.finrank FiniteDimensional.finrank
+-/
 
+/- warning: finite_dimensional.finrank_eq_of_rank_eq -> FiniteDimensional.finrank_eq_of_rank_eq is a dubious translation:
+lean 3 declaration is
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {n : Nat}, (Eq.{succ (succ u2)} Cardinal.{u2} (Module.rank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) ((fun (a : Type) (b : Type.{succ u2}) [self : HasLiftT.{1, succ (succ u2)} a b] => self.0) Nat Cardinal.{u2} (HasLiftT.mk.{1, succ (succ u2)} Nat Cardinal.{u2} (CoeTCₓ.coe.{1, succ (succ u2)} Nat Cardinal.{u2} (Nat.castCoe.{succ u2} Cardinal.{u2} Cardinal.hasNatCast.{u2}))) n)) -> (Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3) n)
+but is expected to have type
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {n : Nat}, (Eq.{succ (succ u2)} Cardinal.{u2} (Module.rank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Nat.cast.{succ u2} Cardinal.{u2} Cardinal.instNatCastCardinal.{u2} n)) -> (Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3) n)
+Case conversion may be inaccurate. Consider using '#align finite_dimensional.finrank_eq_of_rank_eq FiniteDimensional.finrank_eq_of_rank_eqₓ'. -/
 theorem finrank_eq_of_rank_eq {n : ℕ} (h : Module.rank K V = ↑n) : finrank K V = n :=
   by
   apply_fun to_nat  at h
@@ -69,6 +77,12 @@ theorem finrank_eq_of_rank_eq {n : ℕ} (h : Module.rank K V = ↑n) : finrank K
   exact_mod_cast h
 #align finite_dimensional.finrank_eq_of_rank_eq FiniteDimensional.finrank_eq_of_rank_eq
 
+/- warning: finite_dimensional.finrank_le_of_rank_le -> FiniteDimensional.finrank_le_of_rank_le is a dubious translation:
+lean 3 declaration is
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {n : Nat}, (LE.le.{succ u2} Cardinal.{u2} Cardinal.hasLe.{u2} (Module.rank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) ((fun (a : Type) (b : Type.{succ u2}) [self : HasLiftT.{1, succ (succ u2)} a b] => self.0) Nat Cardinal.{u2} (HasLiftT.mk.{1, succ (succ u2)} Nat Cardinal.{u2} (CoeTCₓ.coe.{1, succ (succ u2)} Nat Cardinal.{u2} (Nat.castCoe.{succ u2} Cardinal.{u2} Cardinal.hasNatCast.{u2}))) n)) -> (LE.le.{0} Nat Nat.hasLe (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3) n)
+but is expected to have type
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {n : Nat}, (LE.le.{succ u2} Cardinal.{u2} Cardinal.instLECardinal.{u2} (Module.rank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Nat.cast.{succ u2} Cardinal.{u2} Cardinal.instNatCastCardinal.{u2} n)) -> (LE.le.{0} Nat instLENat (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3) n)
+Case conversion may be inaccurate. Consider using '#align finite_dimensional.finrank_le_of_rank_le FiniteDimensional.finrank_le_of_rank_leₓ'. -/
 theorem finrank_le_of_rank_le {n : ℕ} (h : Module.rank K V ≤ ↑n) : finrank K V ≤ n :=
   by
   rwa [← Cardinal.toNat_le_iff_le_of_lt_aleph0, to_nat_cast] at h
@@ -76,6 +90,12 @@ theorem finrank_le_of_rank_le {n : ℕ} (h : Module.rank K V ≤ ↑n) : finrank
   · exact nat_lt_aleph_0 n
 #align finite_dimensional.finrank_le_of_rank_le FiniteDimensional.finrank_le_of_rank_le
 
+/- warning: finite_dimensional.finrank_lt_of_rank_lt -> FiniteDimensional.finrank_lt_of_rank_lt is a dubious translation:
+lean 3 declaration is
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {n : Nat}, (LT.lt.{succ u2} Cardinal.{u2} (Preorder.toLT.{succ u2} Cardinal.{u2} (PartialOrder.toPreorder.{succ u2} Cardinal.{u2} (OrderedAddCommMonoid.toPartialOrder.{succ u2} Cardinal.{u2} (OrderedSemiring.toOrderedAddCommMonoid.{succ u2} Cardinal.{u2} (OrderedCommSemiring.toOrderedSemiring.{succ u2} Cardinal.{u2} (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{succ u2} Cardinal.{u2} Cardinal.canonicallyOrderedCommSemiring.{u2})))))) (Module.rank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) ((fun (a : Type) (b : Type.{succ u2}) [self : HasLiftT.{1, succ (succ u2)} a b] => self.0) Nat Cardinal.{u2} (HasLiftT.mk.{1, succ (succ u2)} Nat Cardinal.{u2} (CoeTCₓ.coe.{1, succ (succ u2)} Nat Cardinal.{u2} (Nat.castCoe.{succ u2} Cardinal.{u2} Cardinal.hasNatCast.{u2}))) n)) -> (LT.lt.{0} Nat Nat.hasLt (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3) n)
+but is expected to have type
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {n : Nat}, (LT.lt.{succ u2} Cardinal.{u2} (Preorder.toLT.{succ u2} Cardinal.{u2} (PartialOrder.toPreorder.{succ u2} Cardinal.{u2} Cardinal.partialOrder.{u2})) (Module.rank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Nat.cast.{succ u2} Cardinal.{u2} Cardinal.instNatCastCardinal.{u2} n)) -> (LT.lt.{0} Nat instLTNat (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3) n)
+Case conversion may be inaccurate. Consider using '#align finite_dimensional.finrank_lt_of_rank_lt FiniteDimensional.finrank_lt_of_rank_ltₓ'. -/
 theorem finrank_lt_of_rank_lt {n : ℕ} (h : Module.rank K V < ↑n) : finrank K V < n :=
   by
   rwa [← Cardinal.toNat_lt_iff_lt_of_lt_aleph0, to_nat_cast] at h
@@ -83,6 +103,12 @@ theorem finrank_lt_of_rank_lt {n : ℕ} (h : Module.rank K V < ↑n) : finrank K
   · exact nat_lt_aleph_0 n
 #align finite_dimensional.finrank_lt_of_rank_lt FiniteDimensional.finrank_lt_of_rank_lt
 
+/- warning: finite_dimensional.rank_lt_of_finrank_lt -> FiniteDimensional.rank_lt_of_finrank_lt is a dubious translation:
+lean 3 declaration is
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {n : Nat}, (LT.lt.{0} Nat Nat.hasLt n (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3)) -> (LT.lt.{succ u2} Cardinal.{u2} (Preorder.toLT.{succ u2} Cardinal.{u2} (PartialOrder.toPreorder.{succ u2} Cardinal.{u2} (OrderedAddCommMonoid.toPartialOrder.{succ u2} Cardinal.{u2} (OrderedSemiring.toOrderedAddCommMonoid.{succ u2} Cardinal.{u2} (OrderedCommSemiring.toOrderedSemiring.{succ u2} Cardinal.{u2} (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{succ u2} Cardinal.{u2} Cardinal.canonicallyOrderedCommSemiring.{u2})))))) ((fun (a : Type) (b : Type.{succ u2}) [self : HasLiftT.{1, succ (succ u2)} a b] => self.0) Nat Cardinal.{u2} (HasLiftT.mk.{1, succ (succ u2)} Nat Cardinal.{u2} (CoeTCₓ.coe.{1, succ (succ u2)} Nat Cardinal.{u2} (Nat.castCoe.{succ u2} Cardinal.{u2} Cardinal.hasNatCast.{u2}))) n) (Module.rank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))
+but is expected to have type
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {n : Nat}, (LT.lt.{0} Nat instLTNat n (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3)) -> (LT.lt.{succ u2} Cardinal.{u2} (Preorder.toLT.{succ u2} Cardinal.{u2} (PartialOrder.toPreorder.{succ u2} Cardinal.{u2} Cardinal.partialOrder.{u2})) (Nat.cast.{succ u2} Cardinal.{u2} Cardinal.instNatCastCardinal.{u2} n) (Module.rank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))
+Case conversion may be inaccurate. Consider using '#align finite_dimensional.rank_lt_of_finrank_lt FiniteDimensional.rank_lt_of_finrank_ltₓ'. -/
 theorem rank_lt_of_finrank_lt {n : ℕ} (h : n < finrank K V) : ↑n < Module.rank K V :=
   by
   rwa [← Cardinal.toNat_lt_iff_lt_of_lt_aleph0, to_nat_cast]
@@ -92,27 +118,47 @@ theorem rank_lt_of_finrank_lt {n : ℕ} (h : n < finrank K V) : ↑n < Module.ra
     exact n.zero_le
 #align finite_dimensional.rank_lt_of_finrank_lt FiniteDimensional.rank_lt_of_finrank_lt
 
+#print FiniteDimensional.finrank_le_finrank_of_rank_le_rank /-
 theorem finrank_le_finrank_of_rank_le_rank
     (h : lift.{v'} (Module.rank K V) ≤ Cardinal.lift.{v} (Module.rank K V₂))
     (h' : Module.rank K V₂ < ℵ₀) : finrank K V ≤ finrank K V₂ := by
   simpa only [to_nat_lift] using to_nat_le_of_le_of_lt_aleph_0 (lift_lt_aleph_0.mpr h') h
 #align finite_dimensional.finrank_le_finrank_of_rank_le_rank FiniteDimensional.finrank_le_finrank_of_rank_le_rank
+-/
 
 section
 
 variable [Nontrivial K] [NoZeroSMulDivisors K V]
 
+/- warning: finite_dimensional.nontrivial_of_finrank_pos -> FiniteDimensional.nontrivial_of_finrank_pos is a dubious translation:
+lean 3 declaration is
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] [_inst_6 : Nontrivial.{u1} K] [_inst_7 : NoZeroSMulDivisors.{u1, u2} K V (MulZeroClass.toHasZero.{u1} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K _inst_1))))) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (SubNegMonoid.toAddMonoid.{u2} V (AddGroup.toSubNegMonoid.{u2} V (AddCommGroup.toAddGroup.{u2} V _inst_2))))) (SMulZeroClass.toHasSmul.{u1, u2} K V (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} K V (MulZeroClass.toHasZero.{u1} K (MulZeroOneClass.toMulZeroClass.{u1} K (MonoidWithZero.toMulZeroOneClass.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))))) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} K V (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1)) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (Module.toMulActionWithZero.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))], (LT.lt.{0} Nat Nat.hasLt (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3)) -> (Nontrivial.{u2} V)
+but is expected to have type
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] [_inst_6 : Nontrivial.{u1} K] [_inst_7 : NoZeroSMulDivisors.{u1, u2} K V (MonoidWithZero.toZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} K V (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} K V (MonoidWithZero.toZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} K V (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1)) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (Module.toMulActionWithZero.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))], (LT.lt.{0} Nat instLTNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3)) -> (Nontrivial.{u2} V)
+Case conversion may be inaccurate. Consider using '#align finite_dimensional.nontrivial_of_finrank_pos FiniteDimensional.nontrivial_of_finrank_posₓ'. -/
 /-- A finite dimensional space is nontrivial if it has positive `finrank`. -/
 theorem nontrivial_of_finrank_pos (h : 0 < finrank K V) : Nontrivial V :=
   rank_pos_iff_nontrivial.mp (rank_lt_of_finrank_lt h)
 #align finite_dimensional.nontrivial_of_finrank_pos FiniteDimensional.nontrivial_of_finrank_pos
 
+/- warning: finite_dimensional.nontrivial_of_finrank_eq_succ -> FiniteDimensional.nontrivial_of_finrank_eq_succ is a dubious translation:
+lean 3 declaration is
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] [_inst_6 : Nontrivial.{u1} K] [_inst_7 : NoZeroSMulDivisors.{u1, u2} K V (MulZeroClass.toHasZero.{u1} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K _inst_1))))) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (SubNegMonoid.toAddMonoid.{u2} V (AddGroup.toSubNegMonoid.{u2} V (AddCommGroup.toAddGroup.{u2} V _inst_2))))) (SMulZeroClass.toHasSmul.{u1, u2} K V (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} K V (MulZeroClass.toHasZero.{u1} K (MulZeroOneClass.toMulZeroClass.{u1} K (MonoidWithZero.toMulZeroOneClass.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))))) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} K V (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1)) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (Module.toMulActionWithZero.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))] {n : Nat}, (Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3) (Nat.succ n)) -> (Nontrivial.{u2} V)
+but is expected to have type
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] [_inst_6 : Nontrivial.{u1} K] [_inst_7 : NoZeroSMulDivisors.{u1, u2} K V (MonoidWithZero.toZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} K V (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} K V (MonoidWithZero.toZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} K V (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1)) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (Module.toMulActionWithZero.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))] {n : Nat}, (Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3) (Nat.succ n)) -> (Nontrivial.{u2} V)
+Case conversion may be inaccurate. Consider using '#align finite_dimensional.nontrivial_of_finrank_eq_succ FiniteDimensional.nontrivial_of_finrank_eq_succₓ'. -/
 /-- A finite dimensional space is nontrivial if it has `finrank` equal to the successor of a
 natural number. -/
 theorem nontrivial_of_finrank_eq_succ {n : ℕ} (hn : finrank K V = n.succ) : Nontrivial V :=
   nontrivial_of_finrank_pos (by rw [hn] <;> exact n.succ_pos)
 #align finite_dimensional.nontrivial_of_finrank_eq_succ FiniteDimensional.nontrivial_of_finrank_eq_succ
 
+/- warning: finite_dimensional.finrank_zero_of_subsingleton -> FiniteDimensional.finrank_zero_of_subsingleton is a dubious translation:
+lean 3 declaration is
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] [_inst_6 : Nontrivial.{u1} K] [_inst_7 : NoZeroSMulDivisors.{u1, u2} K V (MulZeroClass.toHasZero.{u1} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K _inst_1))))) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (SubNegMonoid.toAddMonoid.{u2} V (AddGroup.toSubNegMonoid.{u2} V (AddCommGroup.toAddGroup.{u2} V _inst_2))))) (SMulZeroClass.toHasSmul.{u1, u2} K V (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} K V (MulZeroClass.toHasZero.{u1} K (MulZeroOneClass.toMulZeroClass.{u1} K (MonoidWithZero.toMulZeroOneClass.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))))) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} K V (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1)) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (Module.toMulActionWithZero.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))] [h : Subsingleton.{succ u2} V], Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3) (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))
+but is expected to have type
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] [_inst_6 : Nontrivial.{u1} K] [_inst_7 : NoZeroSMulDivisors.{u1, u2} K V (MonoidWithZero.toZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} K V (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} K V (MonoidWithZero.toZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} K V (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1)) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (Module.toMulActionWithZero.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))] [h : Subsingleton.{succ u2} V], Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))
+Case conversion may be inaccurate. Consider using '#align finite_dimensional.finrank_zero_of_subsingleton FiniteDimensional.finrank_zero_of_subsingletonₓ'. -/
 /-- A (finite dimensional) space that is a subsingleton has zero `finrank`. -/
 theorem finrank_zero_of_subsingleton [h : Subsingleton V] : finrank K V = 0 :=
   by
@@ -127,38 +173,48 @@ section
 
 variable [StrongRankCondition K]
 
+#print FiniteDimensional.finrank_eq_card_basis /-
 /-- If a vector space (or module) has a finite basis, then its dimension (or rank) is equal to the
 cardinality of the basis. -/
 theorem finrank_eq_card_basis {ι : Type w} [Fintype ι] (h : Basis ι K V) :
     finrank K V = Fintype.card ι :=
   finrank_eq_of_rank_eq (rank_eq_card_basis h)
 #align finite_dimensional.finrank_eq_card_basis FiniteDimensional.finrank_eq_card_basis
+-/
 
+#print FiniteDimensional.finrank_eq_card_finset_basis /-
 /-- If a vector space (or module) has a finite basis, then its dimension (or rank) is equal to the
 cardinality of the basis. This lemma uses a `finset` instead of indexed types. -/
 theorem finrank_eq_card_finset_basis {ι : Type w} {b : Finset ι} (h : Basis.{w} b K V) :
     finrank K V = Finset.card b := by rw [finrank_eq_card_basis h, Fintype.card_coe]
 #align finite_dimensional.finrank_eq_card_finset_basis FiniteDimensional.finrank_eq_card_finset_basis
+-/
 
 variable (K)
 
+#print FiniteDimensional.finrank_self /-
 /-- A ring satisfying `strong_rank_condition` (such as a `division_ring`) is one-dimensional as a
 module over itself. -/
 @[simp]
 theorem finrank_self : finrank K K = 1 :=
   finrank_eq_of_rank_eq (by simp)
 #align finite_dimensional.finrank_self FiniteDimensional.finrank_self
+-/
 
+#print FiniteDimensional.finrank_fintype_fun_eq_card /-
 /-- The vector space of functions on a fintype ι has finrank equal to the cardinality of ι. -/
 @[simp]
 theorem finrank_fintype_fun_eq_card {ι : Type v} [Fintype ι] : finrank K (ι → K) = Fintype.card ι :=
   finrank_eq_of_rank_eq rank_fun'
 #align finite_dimensional.finrank_fintype_fun_eq_card FiniteDimensional.finrank_fintype_fun_eq_card
+-/
 
+#print FiniteDimensional.finrank_fin_fun /-
 /-- The vector space of functions on `fin n` has finrank equal to `n`. -/
 @[simp]
 theorem finrank_fin_fun {n : ℕ} : finrank K (Fin n → K) = n := by simp
 #align finite_dimensional.finrank_fin_fun FiniteDimensional.finrank_fin_fun
+-/
 
 end
 
@@ -169,10 +225,12 @@ section DivisionRing
 variable [DivisionRing K] [AddCommGroup V] [Module K V] {V₂ : Type v'} [AddCommGroup V₂]
   [Module K V₂]
 
+#print FiniteDimensional.Basis.subset_extend /-
 theorem Basis.subset_extend {s : Set V} (hs : LinearIndependent K (coe : s → V)) :
     s ⊆ hs.extend (Set.subset_univ _) :=
   hs.subset_extend _
 #align finite_dimensional.basis.subset_extend FiniteDimensional.Basis.subset_extend
+-/
 
 end DivisionRing
 
@@ -186,13 +244,16 @@ variable [Ring K] [StrongRankCondition K] [AddCommGroup V] [Module K V] [Module.
 
 open FiniteDimensional
 
+#print finrank_eq_zero_of_basis_imp_not_finite /-
 theorem finrank_eq_zero_of_basis_imp_not_finite
     (h : ∀ s : Set V, Basis.{v} (s : Set V) K V → ¬s.Finite) : finrank K V = 0 :=
   by
   obtain ⟨_, ⟨b⟩⟩ := (Module.free_iff_set K V).mp ‹_›
   exact dif_neg fun rank_lt => h _ b (b.finite_index_of_rank_lt_aleph_0 rank_lt)
 #align finrank_eq_zero_of_basis_imp_not_finite finrank_eq_zero_of_basis_imp_not_finite
+-/
 
+#print finrank_eq_zero_of_basis_imp_false /-
 theorem finrank_eq_zero_of_basis_imp_false (h : ∀ s : Finset V, Basis.{v} (s : Set V) K V → False) :
     finrank K V = 0 :=
   finrank_eq_zero_of_basis_imp_not_finite fun s b hs =>
@@ -201,21 +262,28 @@ theorem finrank_eq_zero_of_basis_imp_false (h : ∀ s : Finset V, Basis.{v} (s :
         convert b
         simp)
 #align finrank_eq_zero_of_basis_imp_false finrank_eq_zero_of_basis_imp_false
+-/
 
+#print finrank_eq_zero_of_not_exists_basis /-
 theorem finrank_eq_zero_of_not_exists_basis
     (h : ¬∃ s : Finset V, Nonempty (Basis (s : Set V) K V)) : finrank K V = 0 :=
   finrank_eq_zero_of_basis_imp_false fun s b => h ⟨s, ⟨b⟩⟩
 #align finrank_eq_zero_of_not_exists_basis finrank_eq_zero_of_not_exists_basis
+-/
 
+#print finrank_eq_zero_of_not_exists_basis_finite /-
 theorem finrank_eq_zero_of_not_exists_basis_finite
     (h : ¬∃ (s : Set V)(b : Basis.{v} (s : Set V) K V), s.Finite) : finrank K V = 0 :=
   finrank_eq_zero_of_basis_imp_not_finite fun s b hs => h ⟨s, b, hs⟩
 #align finrank_eq_zero_of_not_exists_basis_finite finrank_eq_zero_of_not_exists_basis_finite
+-/
 
+#print finrank_eq_zero_of_not_exists_basis_finset /-
 theorem finrank_eq_zero_of_not_exists_basis_finset (h : ¬∃ s : Finset V, Nonempty (Basis s K V)) :
     finrank K V = 0 :=
   finrank_eq_zero_of_basis_imp_false fun s b => h ⟨s, ⟨b⟩⟩
 #align finrank_eq_zero_of_not_exists_basis_finset finrank_eq_zero_of_not_exists_basis_finset
+-/
 
 end ZeroRank
 
@@ -229,6 +297,12 @@ variable {R M M₂ : Type _} [Ring R] [AddCommGroup M] [AddCommGroup M₂]
 
 variable [Module R M] [Module R M₂]
 
+/- warning: linear_equiv.finrank_eq -> LinearEquiv.finrank_eq is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {M : Type.{u2}} {M₂ : Type.{u3}} [_inst_6 : Ring.{u1} R] [_inst_7 : AddCommGroup.{u2} M] [_inst_8 : AddCommGroup.{u3} M₂] [_inst_9 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7)] [_inst_10 : Module.{u1, u3} R M₂ (Ring.toSemiring.{u1} R _inst_6) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_8)], (LinearEquiv.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_6) (Ring.toSemiring.{u1} R _inst_6) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R _inst_6)) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R _inst_6)) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_8) _inst_9 _inst_10) -> (Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_6) _inst_7 _inst_9) (FiniteDimensional.finrank.{u1, u3} R M₂ (Ring.toSemiring.{u1} R _inst_6) _inst_8 _inst_10))
+but is expected to have type
+  forall {R : Type.{u3}} {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_6 : Ring.{u3} R] [_inst_7 : AddCommGroup.{u2} M] [_inst_8 : AddCommGroup.{u1} M₂] [_inst_9 : Module.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7)] [_inst_10 : Module.{u3, u1} R M₂ (Ring.toSemiring.{u3} R _inst_6) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8)], (LinearEquiv.{u3, u3, u2, u1} R R (Ring.toSemiring.{u3} R _inst_6) (Ring.toSemiring.{u3} R _inst_6) (RingHom.id.{u3} R (NonAssocRing.toNonAssocSemiring.{u3} R (Ring.toNonAssocRing.{u3} R _inst_6))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R _inst_6))) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) (RingHomInvPair.ids.{u3} R (Ring.toSemiring.{u3} R _inst_6)) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_8) _inst_9 _inst_10) -> (Eq.{1} Nat (FiniteDimensional.finrank.{u3, u2} R M (Ring.toSemiring.{u3} R _inst_6) _inst_7 _inst_9) (FiniteDimensional.finrank.{u3, u1} R M₂ (Ring.toSemiring.{u3} R _inst_6) _inst_8 _inst_10))
+Case conversion may be inaccurate. Consider using '#align linear_equiv.finrank_eq LinearEquiv.finrank_eqₓ'. -/
 /-- The dimension of a finite dimensional space is preserved under linear equivalence. -/
 theorem finrank_eq (f : M ≃ₗ[R] M₂) : finrank R M = finrank R M₂ :=
   by
@@ -236,6 +310,12 @@ theorem finrank_eq (f : M ≃ₗ[R] M₂) : finrank R M = finrank R M₂ :=
   rw [← Cardinal.toNat_lift, f.lift_rank_eq, Cardinal.toNat_lift]
 #align linear_equiv.finrank_eq LinearEquiv.finrank_eq
 
+/- warning: linear_equiv.finrank_map_eq -> LinearEquiv.finrank_map_eq is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {M : Type.{u2}} {M₂ : Type.{u3}} [_inst_6 : Ring.{u1} R] [_inst_7 : AddCommGroup.{u2} M] [_inst_8 : AddCommGroup.{u3} M₂] [_inst_9 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M _inst_7)] [_inst_10 : Module.{u1, u3} R M₂ (Ring.toSemiring.{u1} R _inst_6) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_8)] (f : LinearEquiv.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_6) (Ring.toSemiring.{u1} R _inst_6) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_6))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R _inst_6)) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R _inst_6)) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_7) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_8) _inst_9 _inst_10) (p : Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_6) (AddCommGroup.toAddCommMonoid.{u2} M 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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align linear_equiv.finrank_map_eq LinearEquiv.finrank_map_eqₓ'. -/
 /-- Pushforwards of finite-dimensional submodules along a `linear_equiv` have the same finrank. -/
 theorem finrank_map_eq (f : M ≃ₗ[R] M₂) (p : Submodule R M) :
     finrank R (p.map (f : M →ₗ[R] M₂)) = finrank R p :=
@@ -252,6 +332,12 @@ section Ring
 
 variable [Ring K] [AddCommGroup V] [Module K V] {V₂ : Type v'} [AddCommGroup V₂] [Module K V₂]
 
+/- warning: linear_map.finrank_range_of_inj -> LinearMap.finrank_range_of_inj is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align linear_map.finrank_range_of_inj LinearMap.finrank_range_of_injₓ'. -/
 /-- The dimensions of the domain and range of an injective linear map are equal. -/
 theorem finrank_range_of_inj {f : V →ₗ[K] V₂} (hf : Function.Injective f) :
     finrank K f.range = finrank K V := by rw [(LinearEquiv.ofInjective f hf).finrank_eq]
@@ -269,11 +355,23 @@ variable [Ring K] [AddCommGroup V] [Module K V]
 
 variable (K V)
 
+/- warning: finrank_bot -> finrank_bot is a dubious translation:
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 @[simp]
 theorem finrank_bot [Nontrivial K] : finrank K (⊥ : Submodule K V) = 0 :=
   finrank_eq_of_rank_eq (rank_bot _ _)
 #align finrank_bot finrank_bot
 
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+  forall (K : Type.{u1}) (V : Type.{u2}) [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)], Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} K (Subtype.{succ u2} V (fun (x : V) => Membership.mem.{u2, u2} V (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) x (Top.top.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.instTopSubmodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) (Ring.toSemiring.{u1} K _inst_1) (Submodule.addCommGroup.{u1, u2} K V _inst_1 _inst_2 _inst_3 (Top.top.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.instTopSubmodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))) (Submodule.module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 (Top.top.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.instTopSubmodule.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3)
+Case conversion may be inaccurate. Consider using '#align finrank_top finrank_topₓ'. -/
 @[simp]
 theorem finrank_top : finrank K (⊤ : Submodule K V) = finrank K V :=
   by
@@ -289,11 +387,23 @@ section Ring
 
 variable [Ring K] [AddCommGroup V] [Module K V] {V₂ : Type v'} [AddCommGroup V₂] [Module K V₂]
 
+/- warning: submodule.lt_of_le_of_finrank_lt_finrank -> Submodule.lt_of_le_of_finrank_lt_finrank 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.lt_of_le_of_finrank_lt_finrank Submodule.lt_of_le_of_finrank_lt_finrankₓ'. -/
 theorem lt_of_le_of_finrank_lt_finrank {s t : Submodule K V} (le : s ≤ t)
     (lt : finrank K s < finrank K t) : s < t :=
   lt_of_le_of_ne le fun h => ne_of_lt lt (by rw [h])
 #align submodule.lt_of_le_of_finrank_lt_finrank Submodule.lt_of_le_of_finrank_lt_finrank
 
+/- warning: submodule.lt_top_of_finrank_lt_finrank -> Submodule.lt_top_of_finrank_lt_finrank is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align submodule.lt_top_of_finrank_lt_finrank Submodule.lt_top_of_finrank_lt_finrankₓ'. -/
 theorem lt_top_of_finrank_lt_finrank {s : Submodule K V} (lt : finrank K s < finrank K V) : s < ⊤ :=
   by
   rw [← finrank_top K V] at lt
@@ -314,24 +424,36 @@ variable [DivisionRing K] [AddCommGroup V] [Module K V]
 
 variable (K)
 
+#print Set.finrank /-
 /-- The rank of a set of vectors as a natural number. -/
 protected noncomputable def Set.finrank (s : Set V) : ℕ :=
   finrank K (span K s)
 #align set.finrank Set.finrank
+-/
 
 variable {K}
 
+#print finrank_span_le_card /-
 theorem finrank_span_le_card (s : Set V) [Fintype s] : finrank K (span K s) ≤ s.toFinset.card :=
   finrank_le_of_rank_le (by simpa using rank_span_le s)
 #align finrank_span_le_card finrank_span_le_card
+-/
 
+#print finrank_span_finset_le_card /-
 theorem finrank_span_finset_le_card (s : Finset V) : (s : Set V).finrank K ≤ s.card :=
   calc
     (s : Set V).finrank K ≤ (s : Set V).toFinset.card := finrank_span_le_card s
     _ = s.card := by simp
     
 #align finrank_span_finset_le_card finrank_span_finset_le_card
+-/
 
+/- warning: finrank_range_le_card -> finrank_range_le_card is a dubious translation:
+lean 3 declaration is
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {ι : Type.{u3}} [_inst_4 : Fintype.{u3} ι] {b : ι -> V}, LE.le.{0} Nat Nat.hasLe (Set.finrank.{u1, u2} K V _inst_1 _inst_2 _inst_3 (Set.range.{u2, succ u3} V ι b)) (Fintype.card.{u3} ι _inst_4)
+but is expected to have type
+  forall {K : Type.{u2}} {V : Type.{u3}} [_inst_1 : DivisionRing.{u2} K] [_inst_2 : AddCommGroup.{u3} V] [_inst_3 : Module.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2)] {ι : Type.{u1}} [_inst_4 : Fintype.{u1} ι] {b : ι -> V}, LE.le.{0} Nat instLENat (Set.finrank.{u2, u3} K V _inst_1 _inst_2 _inst_3 (Set.range.{u3, succ u1} V ι b)) (Fintype.card.{u1} ι _inst_4)
+Case conversion may be inaccurate. Consider using '#align finrank_range_le_card finrank_range_le_cardₓ'. -/
 theorem finrank_range_le_card {ι : Type _} [Fintype ι] {b : ι → V} :
     (Set.range b).finrank K ≤ Fintype.card ι :=
   (finrank_span_le_card _).trans <| by
@@ -339,6 +461,12 @@ theorem finrank_range_le_card {ι : Type _} [Fintype ι] {b : ι → V} :
     exact Finset.card_image_le
 #align finrank_range_le_card finrank_range_le_card
 
+/- warning: finrank_span_eq_card -> finrank_span_eq_card is a dubious translation:
+lean 3 declaration is
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {ι : Type.{u3}} [_inst_4 : Fintype.{u3} ι] {b : ι -> V}, (LinearIndependent.{u3, u1, u2} ι K V b (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) -> (Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} K (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) (Submodule.span.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 (Set.range.{u2, succ u3} V ι b))) (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (Submodule.addCommGroup.{u1, u2} K V (DivisionRing.toRing.{u1} K _inst_1) _inst_2 _inst_3 (Submodule.span.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 (Set.range.{u2, succ u3} V ι b))) (Submodule.module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 (Submodule.span.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 (Set.range.{u2, succ u3} V ι b)))) (Fintype.card.{u3} ι _inst_4))
+but is expected to have type
+  forall {K : Type.{u2}} {V : Type.{u3}} [_inst_1 : DivisionRing.{u2} K] [_inst_2 : AddCommGroup.{u3} V] [_inst_3 : Module.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2)] {ι : Type.{u1}} [_inst_4 : Fintype.{u1} ι] {b : ι -> V}, (LinearIndependent.{u1, u2, u3} ι K V b (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3) -> (Eq.{1} Nat (FiniteDimensional.finrank.{u2, u3} K (Subtype.{succ u3} V (fun (x : V) => Membership.mem.{u3, u3} V (Submodule.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3) V (Submodule.setLike.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3)) x (Submodule.span.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3 (Set.range.{u3, succ u1} V ι b)))) (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (Submodule.addCommGroup.{u2, u3} K V (DivisionRing.toRing.{u2} K _inst_1) _inst_2 _inst_3 (Submodule.span.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3 (Set.range.{u3, succ u1} V ι b))) (Submodule.module.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3 (Submodule.span.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3 (Set.range.{u3, succ u1} V ι b)))) (Fintype.card.{u1} ι _inst_4))
+Case conversion may be inaccurate. Consider using '#align finrank_span_eq_card finrank_span_eq_cardₓ'. -/
 theorem finrank_span_eq_card {ι : Type _} [Fintype ι] {b : ι → V} (hb : LinearIndependent K b) :
     finrank K (span K (Set.range b)) = Fintype.card ι :=
   finrank_eq_of_rank_eq
@@ -348,6 +476,7 @@ theorem finrank_span_eq_card {ι : Type _} [Fintype ι] {b : ι → V} (hb : Lin
         lift_eq_nat_iff] at this)
 #align finrank_span_eq_card finrank_span_eq_card
 
+#print finrank_span_set_eq_card /-
 theorem finrank_span_set_eq_card (s : Set V) [Fintype s] (hs : LinearIndependent K (coe : s → V)) :
     finrank K (span K s) = s.toFinset.card :=
   finrank_eq_of_rank_eq
@@ -355,7 +484,9 @@ theorem finrank_span_set_eq_card (s : Set V) [Fintype s] (hs : LinearIndependent
       have : Module.rank K (span K s) = (#s) := rank_span_set hs
       rwa [Cardinal.mk_fintype, ← Set.toFinset_card] at this)
 #align finrank_span_set_eq_card finrank_span_set_eq_card
+-/
 
+#print finrank_span_finset_eq_card /-
 theorem finrank_span_finset_eq_card (s : Finset V) (hs : LinearIndependent K (coe : s → V)) :
     finrank K (span K (s : Set V)) = s.card :=
   by
@@ -363,13 +494,26 @@ theorem finrank_span_finset_eq_card (s : Finset V) (hs : LinearIndependent K (co
   ext
   simp
 #align finrank_span_finset_eq_card finrank_span_finset_eq_card
+-/
 
+/- warning: span_lt_of_subset_of_card_lt_finrank -> span_lt_of_subset_of_card_lt_finrank is a dubious translation:
+lean 3 declaration is
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Set.{u2} V} [_inst_4 : Fintype.{u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} V) Type.{u2} (Set.hasCoeToSort.{u2} V) s)] {t : Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3}, (HasSubset.Subset.{u2} (Set.{u2} V) (Set.hasSubset.{u2} V) s ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Set.{u2} V) (HasLiftT.mk.{succ u2, succ u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Set.{u2} V) (CoeTCₓ.coe.{succ u2, succ u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Set.{u2} V) (SetLike.Set.hasCoeT.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) t)) -> (LT.lt.{0} Nat Nat.hasLt (Finset.card.{u2} V (Set.toFinset.{u2} V s _inst_4)) (FiniteDimensional.finrank.{u1, u2} K (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) t) (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (Submodule.addCommGroup.{u1, u2} K V (DivisionRing.toRing.{u1} K _inst_1) _inst_2 _inst_3 t) (Submodule.module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 t))) -> (LT.lt.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLT.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) (Submodule.span.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 s) t)
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align span_lt_of_subset_of_card_lt_finrank span_lt_of_subset_of_card_lt_finrankₓ'. -/
 theorem span_lt_of_subset_of_card_lt_finrank {s : Set V} [Fintype s] {t : Submodule K V}
     (subset : s ⊆ t) (card_lt : s.toFinset.card < finrank K t) : span K s < t :=
   lt_of_le_of_finrank_lt_finrank (span_le.mpr subset)
     (lt_of_le_of_lt (finrank_span_le_card _) card_lt)
 #align span_lt_of_subset_of_card_lt_finrank span_lt_of_subset_of_card_lt_finrank
 
+/- warning: span_lt_top_of_card_lt_finrank -> span_lt_top_of_card_lt_finrank is a dubious translation:
+lean 3 declaration is
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Set.{u2} V} [_inst_4 : Fintype.{u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} V) Type.{u2} (Set.hasCoeToSort.{u2} V) s)], (LT.lt.{0} Nat Nat.hasLt (Finset.card.{u2} V (Set.toFinset.{u2} V s _inst_4)) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) _inst_2 _inst_3)) -> (LT.lt.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLT.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) (Submodule.span.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 s) (Top.top.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.hasTop.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))
+but is expected to have type
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Set.{u2} V} [_inst_4 : Fintype.{u2} (Set.Elem.{u2} V s)], (LT.lt.{0} Nat instLTNat (Finset.card.{u2} V (Set.toFinset.{u2} V s _inst_4)) (FiniteDimensional.finrank.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) _inst_2 _inst_3)) -> (LT.lt.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLT.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.completeLattice.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))) (Submodule.span.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 s) (Top.top.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.instTopSubmodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))
+Case conversion may be inaccurate. Consider using '#align span_lt_top_of_card_lt_finrank span_lt_top_of_card_lt_finrankₓ'. -/
 theorem span_lt_top_of_card_lt_finrank {s : Set V} [Fintype s]
     (card_lt : s.toFinset.card < finrank K V) : span K s < ⊤ :=
   lt_top_of_finrank_lt_finrank (lt_of_le_of_lt (finrank_span_le_card _) card_lt)
@@ -385,6 +529,12 @@ section DivisionRing
 
 variable [DivisionRing K] [AddCommGroup V] [Module K V]
 
+/- warning: linear_independent_of_top_le_span_of_card_eq_finrank -> linearIndependent_of_top_le_span_of_card_eq_finrank is a dubious translation:
+lean 3 declaration is
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {ι : Type.{u3}} [_inst_4 : Fintype.{u3} ι] {b : ι -> V}, (LE.le.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) (Top.top.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.hasTop.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) (Submodule.span.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 (Set.range.{u2, succ u3} V ι b))) -> (Eq.{1} Nat (Fintype.card.{u3} ι _inst_4) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) _inst_2 _inst_3)) -> (LinearIndependent.{u3, u1, u2} ι K V b (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)
+but is expected to have type
+  forall {K : Type.{u2}} {V : Type.{u3}} [_inst_1 : DivisionRing.{u2} K] [_inst_2 : AddCommGroup.{u3} V] [_inst_3 : Module.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2)] {ι : Type.{u1}} [_inst_4 : Fintype.{u1} ι] {b : ι -> V}, (LE.le.{u3} (Submodule.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3) (Preorder.toLE.{u3} (Submodule.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3) (Submodule.completeLattice.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3))))) (Top.top.{u3} (Submodule.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3) (Submodule.instTopSubmodule.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3)) (Submodule.span.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3 (Set.range.{u3, succ u1} V ι b))) -> (Eq.{1} Nat (Fintype.card.{u1} ι _inst_4) (FiniteDimensional.finrank.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) _inst_2 _inst_3)) -> (LinearIndependent.{u1, u2, u3} ι K V b (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3)
+Case conversion may be inaccurate. Consider using '#align linear_independent_of_top_le_span_of_card_eq_finrank linearIndependent_of_top_le_span_of_card_eq_finrankₓ'. -/
 theorem linearIndependent_of_top_le_span_of_card_eq_finrank {ι : Type _} [Fintype ι] {b : ι → V}
     (spans : ⊤ ≤ span K (Set.range b)) (card_eq : Fintype.card ι = finrank K V) :
     LinearIndependent K b :=
@@ -437,6 +587,12 @@ theorem linearIndependent_of_top_le_span_of_card_eq_finrank {ι : Type _} [Finty
     rwa [← Finset.insert_erase i_mem_s, Finset.sum_insert (Finset.not_mem_erase _ _)] at dependent
 #align linear_independent_of_top_le_span_of_card_eq_finrank linearIndependent_of_top_le_span_of_card_eq_finrank
 
+/- warning: linear_independent_iff_card_eq_finrank_span -> linearIndependent_iff_card_eq_finrank_span is a dubious translation:
+lean 3 declaration is
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {ι : Type.{u3}} [_inst_4 : Fintype.{u3} ι] {b : ι -> V}, Iff (LinearIndependent.{u3, u1, u2} ι K V b (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Eq.{1} Nat (Fintype.card.{u3} ι _inst_4) (Set.finrank.{u1, u2} K V _inst_1 _inst_2 _inst_3 (Set.range.{u2, succ u3} V ι b)))
+but is expected to have type
+  forall {K : Type.{u2}} {V : Type.{u3}} [_inst_1 : DivisionRing.{u2} K] [_inst_2 : AddCommGroup.{u3} V] [_inst_3 : Module.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2)] {ι : Type.{u1}} [_inst_4 : Fintype.{u1} ι] {b : ι -> V}, Iff (LinearIndependent.{u1, u2, u3} ι K V b (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3) (Eq.{1} Nat (Fintype.card.{u1} ι _inst_4) (Set.finrank.{u2, u3} K V _inst_1 _inst_2 _inst_3 (Set.range.{u3, succ u1} V ι b)))
+Case conversion may be inaccurate. Consider using '#align linear_independent_iff_card_eq_finrank_span linearIndependent_iff_card_eq_finrank_spanₓ'. -/
 /-- A finite family of vectors is linearly independent if and only if
 its cardinality equals the dimension of its span. -/
 theorem linearIndependent_iff_card_eq_finrank_span {ι : Type _} [Fintype ι] {b : ι → V} :
@@ -467,17 +623,35 @@ theorem linearIndependent_iff_card_eq_finrank_span {ι : Type _} [Fintype ι] {b
     convert(linearIndependent_of_top_le_span_of_card_eq_finrank hs hc).map' _ hi
 #align linear_independent_iff_card_eq_finrank_span linearIndependent_iff_card_eq_finrank_span
 
+/- warning: linear_independent_iff_card_le_finrank_span -> linearIndependent_iff_card_le_finrank_span is a dubious translation:
+lean 3 declaration is
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {ι : Type.{u3}} [_inst_4 : Fintype.{u3} ι] {b : ι -> V}, Iff (LinearIndependent.{u3, u1, u2} ι K V b (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (LE.le.{0} Nat Nat.hasLe (Fintype.card.{u3} ι _inst_4) (Set.finrank.{u1, u2} K V _inst_1 _inst_2 _inst_3 (Set.range.{u2, succ u3} V ι b)))
+but is expected to have type
+  forall {K : Type.{u2}} {V : Type.{u3}} [_inst_1 : DivisionRing.{u2} K] [_inst_2 : AddCommGroup.{u3} V] [_inst_3 : Module.{u2, u3} K V (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2)] {ι : Type.{u1}} [_inst_4 : Fintype.{u1} ι] {b : ι -> V}, Iff (LinearIndependent.{u1, u2, u3} ι K V b (DivisionSemiring.toSemiring.{u2} K (DivisionRing.toDivisionSemiring.{u2} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} V _inst_2) _inst_3) (LE.le.{0} Nat instLENat (Fintype.card.{u1} ι _inst_4) (Set.finrank.{u2, u3} K V _inst_1 _inst_2 _inst_3 (Set.range.{u3, succ u1} V ι b)))
+Case conversion may be inaccurate. Consider using '#align linear_independent_iff_card_le_finrank_span linearIndependent_iff_card_le_finrank_spanₓ'. -/
 theorem linearIndependent_iff_card_le_finrank_span {ι : Type _} [Fintype ι] {b : ι → V} :
     LinearIndependent K b ↔ Fintype.card ι ≤ (Set.range b).finrank K := by
   rw [linearIndependent_iff_card_eq_finrank_span, finrank_range_le_card.le_iff_eq]
 #align linear_independent_iff_card_le_finrank_span linearIndependent_iff_card_le_finrank_span
 
+/- warning: basis_of_top_le_span_of_card_eq_finrank -> basisOfTopLeSpanOfCardEqFinrank is a dubious translation:
+lean 3 declaration is
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {ι : Type.{u3}} [_inst_4 : Fintype.{u3} ι] (b : ι -> V), (LE.le.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) (Top.top.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.hasTop.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) (Submodule.span.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 (Set.range.{u2, succ u3} V ι b))) -> (Eq.{1} Nat (Fintype.card.{u3} ι _inst_4) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) _inst_2 _inst_3)) -> (Basis.{u3, u1, u2} ι K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)
+but is expected to have type
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {ι : Type.{u3}} [_inst_4 : Fintype.{u3} ι] (b : ι -> V), (LE.le.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.completeLattice.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))) (Top.top.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.instTopSubmodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) (Submodule.span.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 (Set.range.{u2, succ u3} V ι b))) -> (Eq.{1} Nat (Fintype.card.{u3} ι _inst_4) (FiniteDimensional.finrank.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) _inst_2 _inst_3)) -> (Basis.{u3, u1, u2} ι K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)
+Case conversion may be inaccurate. Consider using '#align basis_of_top_le_span_of_card_eq_finrank basisOfTopLeSpanOfCardEqFinrankₓ'. -/
 /-- A family of `finrank K V` vectors forms a basis if they span the whole space. -/
 noncomputable def basisOfTopLeSpanOfCardEqFinrank {ι : Type _} [Fintype ι] (b : ι → V)
     (le_span : ⊤ ≤ span K (Set.range b)) (card_eq : Fintype.card ι = finrank K V) : Basis ι K V :=
   Basis.mk (linearIndependent_of_top_le_span_of_card_eq_finrank le_span card_eq) le_span
 #align basis_of_top_le_span_of_card_eq_finrank basisOfTopLeSpanOfCardEqFinrank
 
+/- warning: coe_basis_of_top_le_span_of_card_eq_finrank -> coe_basisOfTopLeSpanOfCardEqFinrank 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 coe_basis_of_top_le_span_of_card_eq_finrank coe_basisOfTopLeSpanOfCardEqFinrankₓ'. -/
 @[simp]
 theorem coe_basisOfTopLeSpanOfCardEqFinrank {ι : Type _} [Fintype ι] (b : ι → V)
     (le_span : ⊤ ≤ span K (Set.range b)) (card_eq : Fintype.card ι = finrank K V) :
@@ -485,6 +659,12 @@ theorem coe_basisOfTopLeSpanOfCardEqFinrank {ι : Type _} [Fintype ι] (b : ι 
   Basis.coe_mk _ _
 #align coe_basis_of_top_le_span_of_card_eq_finrank coe_basisOfTopLeSpanOfCardEqFinrank
 
+/- warning: finset_basis_of_top_le_span_of_card_eq_finrank -> finsetBasisOfTopLeSpanOfCardEqFinrank is a dubious translation:
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+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Finset.{u2} V}, (LE.le.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) (Top.top.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.hasTop.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) (Submodule.span.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Finset.{u2} V) (Set.{u2} V) (HasLiftT.mk.{succ u2, succ u2} (Finset.{u2} V) (Set.{u2} V) (CoeTCₓ.coe.{succ u2, succ u2} (Finset.{u2} V) (Set.{u2} V) (Finset.Set.hasCoeT.{u2} V))) s))) -> (Eq.{1} Nat (Finset.card.{u2} V s) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) _inst_2 _inst_3)) -> (Basis.{u2, u1, u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} V) Type.{u2} (Set.hasCoeToSort.{u2} V) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Finset.{u2} V) (Set.{u2} V) (HasLiftT.mk.{succ u2, succ u2} (Finset.{u2} V) (Set.{u2} V) (CoeTCₓ.coe.{succ u2, succ u2} (Finset.{u2} V) (Set.{u2} V) (Finset.Set.hasCoeT.{u2} V))) s)) K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align finset_basis_of_top_le_span_of_card_eq_finrank finsetBasisOfTopLeSpanOfCardEqFinrankₓ'. -/
 /-- A finset of `finrank K V` vectors forms a basis if they span the whole space. -/
 @[simps]
 noncomputable def finsetBasisOfTopLeSpanOfCardEqFinrank {s : Finset V}
@@ -494,6 +674,12 @@ noncomputable def finsetBasisOfTopLeSpanOfCardEqFinrank {s : Finset V}
     (trans (Fintype.card_coe _) card_eq)
 #align finset_basis_of_top_le_span_of_card_eq_finrank finsetBasisOfTopLeSpanOfCardEqFinrank
 
+/- warning: set_basis_of_top_le_span_of_card_eq_finrank -> setBasisOfTopLeSpanOfCardEqFinrank is a dubious translation:
+lean 3 declaration is
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Set.{u2} V} [_inst_4 : Fintype.{u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} V) Type.{u2} (Set.hasCoeToSort.{u2} V) s)], (LE.le.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) V (Submodule.setLike.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) (Top.top.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.hasTop.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) (Submodule.span.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 s)) -> (Eq.{1} Nat (Finset.card.{u2} V (Set.toFinset.{u2} V s _inst_4)) (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) _inst_2 _inst_3)) -> (Basis.{u2, u1, u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} V) Type.{u2} (Set.hasCoeToSort.{u2} V) s) K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)
+but is expected to have type
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : DivisionRing.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] {s : Set.{u2} V} [_inst_4 : Fintype.{u2} (Set.Elem.{u2} V s)], (LE.le.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Preorder.toLE.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.completeLattice.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))) (Top.top.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3) (Submodule.instTopSubmodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)) (Submodule.span.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3 s)) -> (Eq.{1} Nat (Finset.card.{u2} V (Set.toFinset.{u2} V s _inst_4)) (FiniteDimensional.finrank.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) _inst_2 _inst_3)) -> (Basis.{u2, u1, u2} (Set.Elem.{u2} V s) K V (DivisionSemiring.toSemiring.{u1} K (DivisionRing.toDivisionSemiring.{u1} K _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)
+Case conversion may be inaccurate. Consider using '#align set_basis_of_top_le_span_of_card_eq_finrank setBasisOfTopLeSpanOfCardEqFinrankₓ'. -/
 /-- A set of `finrank K V` vectors forms a basis if they span the whole space. -/
 @[simps]
 noncomputable def setBasisOfTopLeSpanOfCardEqFinrank {s : Set V} [Fintype s]
@@ -517,6 +703,12 @@ variable [Ring K] [AddCommGroup V] [Module K V]
 
 variable [NoZeroSMulDivisors K V] [StrongRankCondition K]
 
+/- warning: finrank_eq_one -> finrank_eq_one is a dubious translation:
+lean 3 declaration is
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] [_inst_4 : NoZeroSMulDivisors.{u1, u2} K V (MulZeroClass.toHasZero.{u1} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K _inst_1))))) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (SubNegMonoid.toAddMonoid.{u2} V (AddGroup.toSubNegMonoid.{u2} V (AddCommGroup.toAddGroup.{u2} V _inst_2))))) (SMulZeroClass.toHasSmul.{u1, u2} K V (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} K V (MulZeroClass.toHasZero.{u1} K (MulZeroOneClass.toMulZeroClass.{u1} K (MonoidWithZero.toMulZeroOneClass.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))))) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} K V (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1)) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (Module.toMulActionWithZero.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))] [_inst_5 : StrongRankCondition.{u1} K (Ring.toSemiring.{u1} K _inst_1)] (v : V), (Ne.{succ u2} V v (OfNat.ofNat.{u2} V 0 (OfNat.mk.{u2} V 0 (Zero.zero.{u2} V (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (SubNegMonoid.toAddMonoid.{u2} V (AddGroup.toSubNegMonoid.{u2} V (AddCommGroup.toAddGroup.{u2} V _inst_2))))))))) -> (forall (w : V), Exists.{succ u1} K (fun (c : K) => Eq.{succ u2} V (SMul.smul.{u1, u2} K V (SMulZeroClass.toHasSmul.{u1, u2} K V (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} K V (MulZeroClass.toHasZero.{u1} K (MulZeroOneClass.toMulZeroClass.{u1} K (MonoidWithZero.toMulZeroOneClass.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))))) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} K V (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1)) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (Module.toMulActionWithZero.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) c v) w)) -> (Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3) (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))
+but is expected to have type
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] [_inst_4 : NoZeroSMulDivisors.{u1, u2} K V (MonoidWithZero.toZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} K V (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} K V (MonoidWithZero.toZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} K V (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1)) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (Module.toMulActionWithZero.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))] [_inst_5 : StrongRankCondition.{u1} K (Ring.toSemiring.{u1} K _inst_1)] (v : V), (Ne.{succ u2} V v (OfNat.ofNat.{u2} V 0 (Zero.toOfNat0.{u2} V (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2)))))))) -> (forall (w : V), Exists.{succ u1} K (fun (c : K) => Eq.{succ u2} V (HSMul.hSMul.{u1, u2, u2} K V V (instHSMul.{u1, u2} K V (SMulZeroClass.toSMul.{u1, u2} K V (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} K V (MonoidWithZero.toZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} K V (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1)) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (Module.toMulActionWithZero.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))) c v) w)) -> (Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))
+Case conversion may be inaccurate. Consider using '#align finrank_eq_one finrank_eq_oneₓ'. -/
 /-- If there is a nonzero vector and every other vector is a multiple of it,
 then the module has dimension one. -/
 theorem finrank_eq_one (v : V) (n : v ≠ 0) (h : ∀ w : V, ∃ c : K, c • v = w) : finrank K V = 1 :=
@@ -526,6 +718,12 @@ theorem finrank_eq_one (v : V) (n : v ≠ 0) (h : ∀ w : V, ∃ c : K, c • v
   rw [finrank_eq_card_basis b, Fintype.card_punit]
 #align finrank_eq_one finrank_eq_one
 
+/- warning: finrank_le_one -> finrank_le_one is a dubious translation:
+lean 3 declaration is
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] [_inst_4 : NoZeroSMulDivisors.{u1, u2} K V (MulZeroClass.toHasZero.{u1} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K _inst_1))))) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (SubNegMonoid.toAddMonoid.{u2} V (AddGroup.toSubNegMonoid.{u2} V (AddCommGroup.toAddGroup.{u2} V _inst_2))))) (SMulZeroClass.toHasSmul.{u1, u2} K V (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} K V (MulZeroClass.toHasZero.{u1} K (MulZeroOneClass.toMulZeroClass.{u1} K (MonoidWithZero.toMulZeroOneClass.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))))) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} K V (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1)) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (Module.toMulActionWithZero.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))] [_inst_5 : StrongRankCondition.{u1} K (Ring.toSemiring.{u1} K _inst_1)] (v : V), (forall (w : V), Exists.{succ u1} K (fun (c : K) => Eq.{succ u2} V (SMul.smul.{u1, u2} K V (SMulZeroClass.toHasSmul.{u1, u2} K V (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} K V (MulZeroClass.toHasZero.{u1} K (MulZeroOneClass.toMulZeroClass.{u1} K (MonoidWithZero.toMulZeroOneClass.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))))) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} K V (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1)) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)))) (Module.toMulActionWithZero.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3)))) c v) w)) -> (LE.le.{0} Nat Nat.hasLe (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3) (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))
+but is expected to have type
+  forall {K : Type.{u1}} {V : Type.{u2}} [_inst_1 : Ring.{u1} K] [_inst_2 : AddCommGroup.{u2} V] [_inst_3 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2)] [_inst_4 : NoZeroSMulDivisors.{u1, u2} K V (MonoidWithZero.toZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} K V (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} K V (MonoidWithZero.toZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} K V (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1)) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (Module.toMulActionWithZero.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))] [_inst_5 : StrongRankCondition.{u1} K (Ring.toSemiring.{u1} K _inst_1)] (v : V), (forall (w : V), Exists.{succ u1} K (fun (c : K) => Eq.{succ u2} V (HSMul.hSMul.{u1, u2, u2} K V V (instHSMul.{u1, u2} K V (SMulZeroClass.toSMul.{u1, u2} K V (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} K V (MonoidWithZero.toZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1))) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} K V (Semiring.toMonoidWithZero.{u1} K (Ring.toSemiring.{u1} K _inst_1)) (NegZeroClass.toZero.{u2} V (SubNegZeroMonoid.toNegZeroClass.{u2} V (SubtractionMonoid.toSubNegZeroMonoid.{u2} V (SubtractionCommMonoid.toSubtractionMonoid.{u2} V (AddCommGroup.toDivisionAddCommMonoid.{u2} V _inst_2))))) (Module.toMulActionWithZero.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V _inst_2) _inst_3))))) c v) w)) -> (LE.le.{0} Nat instLENat (FiniteDimensional.finrank.{u1, u2} K V (Ring.toSemiring.{u1} K _inst_1) _inst_2 _inst_3) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))
+Case conversion may be inaccurate. Consider using '#align finrank_le_one finrank_le_oneₓ'. -/
 /-- If every vector is a multiple of some `v : V`, then `V` has dimension at most one.
 -/
 theorem finrank_le_one (v : V) (h : ∀ w : V, ∃ c : K, c • v = w) : finrank K V ≤ 1 :=
@@ -550,25 +748,45 @@ open Module
 
 variable {F E : Type _} [CommRing F] [Ring E] [Algebra F E]
 
+/- warning: subalgebra.rank_to_submodule -> Subalgebra.rank_toSubmodule is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {F : Type.{u2}} {E : Type.{u1}} [_inst_1 : CommRing.{u2} F] [_inst_2 : Ring.{u1} E] [_inst_3 : Algebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2)] (S : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3), Eq.{succ (succ u1)} Cardinal.{u1} (Module.rank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) S) (SetLike.instMembership.{u1, u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) S) E (Submodule.setLike.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))) x 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(CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) a) (EmbeddingLike.toFunLike.{succ u1, succ u1, succ u1} (Function.Embedding.{succ u1, succ u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))) (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Function.instEmbeddingLikeEmbedding.{succ u1, succ u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) 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(Preorder.toLE.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instPartialOrder.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} 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E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) (Submodule.completeLattice.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)))))) 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+Case conversion may be inaccurate. Consider using '#align subalgebra.rank_to_submodule Subalgebra.rank_toSubmoduleₓ'. -/
 @[simp]
 theorem Subalgebra.rank_toSubmodule (S : Subalgebra F E) :
     Module.rank F S.toSubmodule = Module.rank F S :=
   rfl
 #align subalgebra.rank_to_submodule Subalgebra.rank_toSubmodule
 
+/- warning: subalgebra.finrank_to_submodule -> Subalgebra.finrank_toSubmodule is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} {E : Type.{u2}} [_inst_1 : CommRing.{u1} F] [_inst_2 : Ring.{u2} E] [_inst_3 : Algebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2)] (S : Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3), Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} F (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) E (Submodule.setLike.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))) (coeFn.{succ u2, succ u2} (OrderEmbedding.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Preorder.toLE.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (Preorder.toLE.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteSemilatticeInf.toPartialOrder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Submodule.completeLattice.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))))) (fun (_x : RelEmbedding.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (LE.le.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Preorder.toLE.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (LE.le.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Preorder.toLE.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteSemilatticeInf.toPartialOrder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Submodule.completeLattice.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))))))) => (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) -> (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))) (RelEmbedding.hasCoeToFun.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (LE.le.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Preorder.toLE.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (LE.le.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Preorder.toLE.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteSemilatticeInf.toPartialOrder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Submodule.completeLattice.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))))))) (Subalgebra.toSubmodule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) S)) (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1)) (Submodule.addCommGroup.{u1, u2} F E (CommRing.toRing.{u1} F _inst_1) (NonUnitalNonAssocRing.toAddCommGroup.{u2} E (NonAssocRing.toNonUnitalNonAssocRing.{u2} E (Ring.toNonAssocRing.{u2} E _inst_2))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (coeFn.{succ u2, succ u2} (OrderEmbedding.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Preorder.toLE.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))) (Preorder.toLE.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) 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(CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Submodule.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) (Submodule.completeLattice.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E 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+but is expected to have type
+  forall {F : Type.{u2}} {E : Type.{u1}} [_inst_1 : CommRing.{u2} F] [_inst_2 : Ring.{u1} E] [_inst_3 : Algebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2)] (S : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3), Eq.{1} Nat (FiniteDimensional.finrank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) => Submodule.{u2, u1} F E (CommSemiring.toSemiring.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} E (Semiring.toNonAssocSemiring.{u1} E (Ring.toSemiring.{u1} E _inst_2)))) (Algebra.toModule.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) S) 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+Case conversion may be inaccurate. Consider using '#align subalgebra.finrank_to_submodule Subalgebra.finrank_toSubmoduleₓ'. -/
 @[simp]
 theorem Subalgebra.finrank_toSubmodule (S : Subalgebra F E) :
     finrank F S.toSubmodule = finrank F S :=
   rfl
 #align subalgebra.finrank_to_submodule Subalgebra.finrank_toSubmodule
 
+#print subalgebra_top_rank_eq_submodule_top_rank /-
 theorem subalgebra_top_rank_eq_submodule_top_rank :
     Module.rank F (⊤ : Subalgebra F E) = Module.rank F (⊤ : Submodule F E) :=
   by
   rw [← Algebra.top_toSubmodule]
   rfl
 #align subalgebra_top_rank_eq_submodule_top_rank subalgebra_top_rank_eq_submodule_top_rank
+-/
 
+/- warning: subalgebra_top_finrank_eq_submodule_top_finrank -> subalgebra_top_finrank_eq_submodule_top_finrank 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 subalgebra_top_finrank_eq_submodule_top_finrank subalgebra_top_finrank_eq_submodule_top_finrankₓ'. -/
 theorem subalgebra_top_finrank_eq_submodule_top_finrank :
     finrank F (⊤ : Subalgebra F E) = finrank F (⊤ : Submodule F E) :=
   by
@@ -576,16 +794,24 @@ theorem subalgebra_top_finrank_eq_submodule_top_finrank :
   rfl
 #align subalgebra_top_finrank_eq_submodule_top_finrank subalgebra_top_finrank_eq_submodule_top_finrank
 
+#print Subalgebra.rank_top /-
 theorem Subalgebra.rank_top : Module.rank F (⊤ : Subalgebra F E) = Module.rank F E :=
   by
   rw [subalgebra_top_rank_eq_submodule_top_rank]
   exact rank_top F E
 #align subalgebra.rank_top Subalgebra.rank_top
+-/
 
 section
 
 variable [StrongRankCondition F] [NoZeroSMulDivisors F E] [Nontrivial E]
 
+/- warning: subalgebra.rank_bot -> Subalgebra.rank_bot is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} {E : Type.{u2}} [_inst_1 : CommRing.{u1} F] [_inst_2 : Ring.{u2} E] [_inst_3 : Algebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2)] [_inst_4 : StrongRankCondition.{u1} F (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1))] [_inst_5 : NoZeroSMulDivisors.{u1, u2} F E (MulZeroClass.toHasZero.{u1} F (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} F (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} F (NonAssocRing.toNonUnitalNonAssocRing.{u1} F (Ring.toNonAssocRing.{u1} F (CommRing.toRing.{u1} F _inst_1)))))) (MulZeroClass.toHasZero.{u2} E (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} E (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} E (NonAssocRing.toNonUnitalNonAssocRing.{u2} E (Ring.toNonAssocRing.{u2} E _inst_2))))) (SMulZeroClass.toHasSmul.{u1, u2} F E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E 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Cardinal.{u2} Cardinal.hasOne.{u2})))
+but is expected to have type
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(CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) x (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) x (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u1, u2} F E 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(Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (Ring.toNonAssocRing.{u2} (Subtype.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)) x (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (Subalgebra.toRing.{u1, u2} F E _inst_1 _inst_2 _inst_3 (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))))))) (Subalgebra.instModuleSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToNonAssocSemiringToSubsemiring.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3 (Bot.bot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (CompleteLattice.toBot.{u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3))))) (OfNat.ofNat.{succ u2} Cardinal.{u2} 1 (One.toOfNat1.{succ u2} Cardinal.{u2} Cardinal.instOneCardinal.{u2}))
+Case conversion may be inaccurate. Consider using '#align subalgebra.rank_bot Subalgebra.rank_botₓ'. -/
 @[simp]
 theorem Subalgebra.rank_bot : Module.rank F (⊥ : Subalgebra F E) = 1 :=
   ((Subalgebra.toSubmoduleEquiv (⊥ : Subalgebra F E)).symm.trans <|
@@ -596,6 +822,12 @@ theorem Subalgebra.rank_bot : Module.rank F (⊥ : Subalgebra F E) = 1 :=
     exacts[mk_singleton _, linearIndependent_singleton one_ne_zero]
 #align subalgebra.rank_bot Subalgebra.rank_bot
 
+/- warning: subalgebra.finrank_bot -> Subalgebra.finrank_bot is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} {E : Type.{u2}} [_inst_1 : CommRing.{u1} F] [_inst_2 : Ring.{u2} E] [_inst_3 : Algebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2)] [_inst_4 : StrongRankCondition.{u1} F (Ring.toSemiring.{u1} F (CommRing.toRing.{u1} F _inst_1))] [_inst_5 : NoZeroSMulDivisors.{u1, u2} F E (MulZeroClass.toHasZero.{u1} F (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} F (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} F (NonAssocRing.toNonUnitalNonAssocRing.{u1} F (Ring.toNonAssocRing.{u1} F (CommRing.toRing.{u1} F _inst_1)))))) (MulZeroClass.toHasZero.{u2} E (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} E (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} E (NonAssocRing.toNonUnitalNonAssocRing.{u2} E (Ring.toNonAssocRing.{u2} E _inst_2))))) (SMulZeroClass.toHasSmul.{u1, u2} F E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} F E (MulZeroClass.toHasZero.{u1} F (MulZeroOneClass.toMulZeroClass.{u1} F (MonoidWithZero.toMulZeroOneClass.{u1} F (Semiring.toMonoidWithZero.{u1} F (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} F E (Semiring.toMonoidWithZero.{u1} F (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} F E (CommSemiring.toSemiring.{u1} F (CommRing.toCommSemiring.{u1} F _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} E (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} E (Semiring.toNonAssocSemiring.{u2} E (Ring.toSemiring.{u2} E _inst_2)))) (Algebra.toModule.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3)))))] [_inst_6 : Nontrivial.{u2} E], Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} F (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) (Ring.toSemiring.{u2} E _inst_2) _inst_3) E (Subalgebra.setLike.{u1, u2} F E (CommRing.toCommSemiring.{u1} F _inst_1) 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_inst_2) _inst_3))))) (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))
+but is expected to have type
+  forall {F : Type.{u2}} {E : Type.{u1}} [_inst_1 : CommRing.{u2} F] [_inst_2 : Ring.{u1} E] [_inst_3 : Algebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2)] [_inst_4 : StrongRankCondition.{u2} F (Ring.toSemiring.{u2} F (CommRing.toRing.{u2} F _inst_1))] [_inst_5 : NoZeroSMulDivisors.{u2, u1} F E (CommMonoidWithZero.toZero.{u2} F (CommSemiring.toCommMonoidWithZero.{u2} F (CommRing.toCommSemiring.{u2} F _inst_1))) (MonoidWithZero.toZero.{u1} E (Semiring.toMonoidWithZero.{u1} E (Ring.toSemiring.{u1} E _inst_2))) (Algebra.toSMul.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)] [_inst_6 : Nontrivial.{u1} E], Eq.{1} Nat (FiniteDimensional.finrank.{u2, u1} F (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x (Bot.bot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (CompleteLattice.toBot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (Ring.toSemiring.{u2} F (CommRing.toRing.{u2} F _inst_1)) (Ring.toAddCommGroup.{u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) E (Subalgebra.instSetLikeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3)) x (Bot.bot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (CompleteLattice.toBot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (Subalgebra.toRing.{u2, u1} F E _inst_1 _inst_2 _inst_3 (Bot.bot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (CompleteLattice.toBot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (Subalgebra.instModuleSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToNonAssocSemiringToSubsemiring.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3 (Bot.bot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (CompleteLattice.toBot.{u1} (Subalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3) (Algebra.instCompleteLatticeSubalgebra.{u2, u1} F E (CommRing.toCommSemiring.{u2} F _inst_1) (Ring.toSemiring.{u1} E _inst_2) _inst_3))))) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))
+Case conversion may be inaccurate. Consider using '#align subalgebra.finrank_bot Subalgebra.finrank_botₓ'. -/
 @[simp]
 theorem Subalgebra.finrank_bot : finrank F (⊥ : Subalgebra F E) = 1 :=
   finrank_eq_of_rank_eq (by simp)

mathlib commit https://github.com/leanprover-community/mathlib/commit/284fdd2962e67d2932fa3a79ce19fcf92d38e228

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Chris Hughes, Anne Baanen
 
 ! This file was ported from Lean 3 source module linear_algebra.finrank
-! leanprover-community/mathlib commit 5ec62c8106221a3f9160e4e4fcc3eed79fe213e9
+! leanprover-community/mathlib commit 8535b76e601f11868af3e612fbecb730998a5631
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -92,6 +92,12 @@ theorem rank_lt_of_finrank_lt {n : ℕ} (h : n < finrank K V) : ↑n < Module.ra
     exact n.zero_le
 #align finite_dimensional.rank_lt_of_finrank_lt FiniteDimensional.rank_lt_of_finrank_lt
 
+theorem finrank_le_finrank_of_rank_le_rank
+    (h : lift.{v'} (Module.rank K V) ≤ Cardinal.lift.{v} (Module.rank K V₂))
+    (h' : Module.rank K V₂ < ℵ₀) : finrank K V ≤ finrank K V₂ := by
+  simpa only [to_nat_lift] using to_nat_le_of_le_of_lt_aleph_0 (lift_lt_aleph_0.mpr h') h
+#align finite_dimensional.finrank_le_finrank_of_rank_le_rank FiniteDimensional.finrank_le_finrank_of_rank_le_rank
+
 section
 
 variable [Nontrivial K] [NoZeroSMulDivisors K V]

mathlib commit https://github.com/leanprover-community/mathlib/commit/5ec62c8106221a3f9160e4e4fcc3eed79fe213e9

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Chris Hughes, Anne Baanen
 
 ! This file was ported from Lean 3 source module linear_algebra.finrank
-! leanprover-community/mathlib commit 039a089d2a4b93c761b234f3e5f5aeb752bac60f
+! leanprover-community/mathlib commit 5ec62c8106221a3f9160e4e4fcc3eed79fe213e9
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -47,10 +47,9 @@ namespace FiniteDimensional
 
 open IsNoetherian
 
-section DivisionRing
+section Ring
 
-variable [DivisionRing K] [AddCommGroup V] [Module K V] {V₂ : Type v'} [AddCommGroup V₂]
-  [Module K V₂]
+variable [Ring K] [AddCommGroup V] [Module K V] {V₂ : Type v'} [AddCommGroup V₂] [Module K V₂]
 
 /-- The rank of a module as a natural number.
 
@@ -93,18 +92,9 @@ theorem rank_lt_of_finrank_lt {n : ℕ} (h : n < finrank K V) : ↑n < Module.ra
     exact n.zero_le
 #align finite_dimensional.rank_lt_of_finrank_lt FiniteDimensional.rank_lt_of_finrank_lt
 
-/-- If a vector space has a finite basis, then its dimension is equal to the cardinality of the
-basis. -/
-theorem finrank_eq_card_basis {ι : Type w} [Fintype ι] (h : Basis ι K V) :
-    finrank K V = Fintype.card ι :=
-  finrank_eq_of_rank_eq (rank_eq_card_basis h)
-#align finite_dimensional.finrank_eq_card_basis FiniteDimensional.finrank_eq_card_basis
+section
 
-/-- If a vector space has a finite basis, then its dimension is equal to the cardinality of the
-basis. This lemma uses a `finset` instead of indexed types. -/
-theorem finrank_eq_card_finset_basis {ι : Type w} {b : Finset ι} (h : Basis.{w} b K V) :
-    finrank K V = Finset.card b := by rw [finrank_eq_card_basis h, Fintype.card_coe]
-#align finite_dimensional.finrank_eq_card_finset_basis FiniteDimensional.finrank_eq_card_finset_basis
+variable [Nontrivial K] [NoZeroSMulDivisors K V]
 
 /-- A finite dimensional space is nontrivial if it has positive `finrank`. -/
 theorem nontrivial_of_finrank_pos (h : 0 < finrank K V) : Nontrivial V :=
@@ -125,14 +115,29 @@ theorem finrank_zero_of_subsingleton [h : Subsingleton V] : finrank K V = 0 :=
   exact hxy (Subsingleton.elim _ _)
 #align finite_dimensional.finrank_zero_of_subsingleton FiniteDimensional.finrank_zero_of_subsingleton
 
-theorem Basis.subset_extend {s : Set V} (hs : LinearIndependent K (coe : s → V)) :
-    s ⊆ hs.extend (Set.subset_univ _) :=
-  hs.subset_extend _
-#align finite_dimensional.basis.subset_extend FiniteDimensional.Basis.subset_extend
+end
+
+section
+
+variable [StrongRankCondition K]
+
+/-- If a vector space (or module) has a finite basis, then its dimension (or rank) is equal to the
+cardinality of the basis. -/
+theorem finrank_eq_card_basis {ι : Type w} [Fintype ι] (h : Basis ι K V) :
+    finrank K V = Fintype.card ι :=
+  finrank_eq_of_rank_eq (rank_eq_card_basis h)
+#align finite_dimensional.finrank_eq_card_basis FiniteDimensional.finrank_eq_card_basis
+
+/-- If a vector space (or module) has a finite basis, then its dimension (or rank) is equal to the
+cardinality of the basis. This lemma uses a `finset` instead of indexed types. -/
+theorem finrank_eq_card_finset_basis {ι : Type w} {b : Finset ι} (h : Basis.{w} b K V) :
+    finrank K V = Finset.card b := by rw [finrank_eq_card_basis h, Fintype.card_coe]
+#align finite_dimensional.finrank_eq_card_finset_basis FiniteDimensional.finrank_eq_card_finset_basis
 
 variable (K)
 
-/-- A division_ring is one-dimensional as a vector space over itself. -/
+/-- A ring satisfying `strong_rank_condition` (such as a `division_ring`) is one-dimensional as a
+module over itself. -/
 @[simp]
 theorem finrank_self : finrank K K = 1 :=
   finrank_eq_of_rank_eq (by simp)
@@ -149,6 +154,20 @@ theorem finrank_fintype_fun_eq_card {ι : Type v} [Fintype ι] : finrank K (ι 
 theorem finrank_fin_fun {n : ℕ} : finrank K (Fin n → K) = n := by simp
 #align finite_dimensional.finrank_fin_fun FiniteDimensional.finrank_fin_fun
 
+end
+
+end Ring
+
+section DivisionRing
+
+variable [DivisionRing K] [AddCommGroup V] [Module K V] {V₂ : Type v'} [AddCommGroup V₂]
+  [Module K V₂]
+
+theorem Basis.subset_extend {s : Set V} (hs : LinearIndependent K (coe : s → V)) :
+    s ⊆ hs.extend (Set.subset_univ _) :=
+  hs.subset_extend _
+#align finite_dimensional.basis.subset_extend FiniteDimensional.Basis.subset_extend
+
 end DivisionRing
 
 end FiniteDimensional
@@ -157,14 +176,15 @@ variable {K V}
 
 section ZeroRank
 
-variable [DivisionRing K] [AddCommGroup V] [Module K V]
+variable [Ring K] [StrongRankCondition K] [AddCommGroup V] [Module K V] [Module.Free K V]
 
 open FiniteDimensional
 
 theorem finrank_eq_zero_of_basis_imp_not_finite
     (h : ∀ s : Set V, Basis.{v} (s : Set V) K V → ¬s.Finite) : finrank K V = 0 :=
-  dif_neg fun rank_lt =>
-    h _ (Basis.ofVectorSpace K V) ((Basis.ofVectorSpace K V).finite_index_of_rank_lt_aleph0 rank_lt)
+  by
+  obtain ⟨_, ⟨b⟩⟩ := (Module.free_iff_set K V).mp ‹_›
+  exact dif_neg fun rank_lt => h _ b (b.finite_index_of_rank_lt_aleph_0 rank_lt)
 #align finrank_eq_zero_of_basis_imp_not_finite finrank_eq_zero_of_basis_imp_not_finite
 
 theorem finrank_eq_zero_of_basis_imp_false (h : ∀ s : Finset V, Basis.{v} (s : Set V) K V → False) :
@@ -191,21 +211,13 @@ theorem finrank_eq_zero_of_not_exists_basis_finset (h : ¬∃ s : Finset V, None
   finrank_eq_zero_of_basis_imp_false fun s b => h ⟨s, ⟨b⟩⟩
 #align finrank_eq_zero_of_not_exists_basis_finset finrank_eq_zero_of_not_exists_basis_finset
 
-variable (K V)
-
-@[simp]
-theorem finrank_bot : finrank K (⊥ : Submodule K V) = 0 :=
-  finrank_eq_of_rank_eq (rank_bot _ _)
-#align finrank_bot finrank_bot
-
 end ZeroRank
 
 namespace LinearEquiv
 
 open FiniteDimensional
 
-variable [DivisionRing K] [AddCommGroup V] [Module K V] {V₂ : Type v'} [AddCommGroup V₂]
-  [Module K V₂]
+variable [Ring K] [AddCommGroup V] [Module K V] {V₂ : Type v'} [AddCommGroup V₂] [Module K V₂]
 
 variable {R M M₂ : Type _} [Ring R] [AddCommGroup M] [AddCommGroup M₂]
 
@@ -230,17 +242,16 @@ namespace LinearMap
 
 open FiniteDimensional
 
-section DivisionRing
+section Ring
 
-variable [DivisionRing K] [AddCommGroup V] [Module K V] {V₂ : Type v'} [AddCommGroup V₂]
-  [Module K V₂]
+variable [Ring K] [AddCommGroup V] [Module K V] {V₂ : Type v'} [AddCommGroup V₂] [Module K V₂]
 
 /-- The dimensions of the domain and range of an injective linear map are equal. -/
 theorem finrank_range_of_inj {f : V →ₗ[K] V₂} (hf : Function.Injective f) :
     finrank K f.range = finrank K V := by rw [(LinearEquiv.ofInjective f hf).finrank_eq]
 #align linear_map.finrank_range_of_inj LinearMap.finrank_range_of_inj
 
-end DivisionRing
+end Ring
 
 end LinearMap
 
@@ -248,7 +259,14 @@ open Module FiniteDimensional
 
 section
 
-variable [DivisionRing K] [AddCommGroup V] [Module K V]
+variable [Ring K] [AddCommGroup V] [Module K V]
+
+variable (K V)
+
+@[simp]
+theorem finrank_bot [Nontrivial K] : finrank K (⊥ : Submodule K V) = 0 :=
+  finrank_eq_of_rank_eq (rank_bot _ _)
+#align finrank_bot finrank_bot
 
 @[simp]
 theorem finrank_top : finrank K (⊤ : Submodule K V) = finrank K V :=
@@ -261,10 +279,9 @@ end
 
 namespace Submodule
 
-section DivisionRing
+section Ring
 
-variable [DivisionRing K] [AddCommGroup V] [Module K V] {V₂ : Type v'} [AddCommGroup V₂]
-  [Module K V₂]
+variable [Ring K] [AddCommGroup V] [Module K V] {V₂ : Type v'} [AddCommGroup V₂] [Module K V₂]
 
 theorem lt_of_le_of_finrank_lt_finrank {s t : Submodule K V} (le : s ≤ t)
     (lt : finrank K s < finrank K t) : s < t :=
@@ -273,11 +290,11 @@ theorem lt_of_le_of_finrank_lt_finrank {s t : Submodule K V} (le : s ≤ t)
 
 theorem lt_top_of_finrank_lt_finrank {s : Submodule K V} (lt : finrank K s < finrank K V) : s < ⊤ :=
   by
-  rw [← @finrank_top K V] at lt
+  rw [← finrank_top K V] at lt
   exact lt_of_le_of_finrank_lt_finrank le_top lt
 #align submodule.lt_top_of_finrank_lt_finrank Submodule.lt_top_of_finrank_lt_finrank
 
-end DivisionRing
+end Ring
 
 end Submodule
 
@@ -490,12 +507,15 @@ We now give characterisations of `finrank K V = 1` and `finrank K V ≤ 1`.
 
 section finrank_eq_one
 
-variable [DivisionRing K] [AddCommGroup V] [Module K V]
+variable [Ring K] [AddCommGroup V] [Module K V]
+
+variable [NoZeroSMulDivisors K V] [StrongRankCondition K]
 
 /-- If there is a nonzero vector and every other vector is a multiple of it,
 then the module has dimension one. -/
 theorem finrank_eq_one (v : V) (n : v ≠ 0) (h : ∀ w : V, ∃ c : K, c • v = w) : finrank K V = 1 :=
   by
+  haveI := nontrivial_of_invariantBasisNumber K
   obtain ⟨b⟩ := (Basis.basis_singleton_iff PUnit).mpr ⟨v, n, h⟩
   rw [finrank_eq_card_basis b, Fintype.card_punit]
 #align finrank_eq_one finrank_eq_one
@@ -504,6 +524,7 @@ theorem finrank_eq_one (v : V) (n : v ≠ 0) (h : ∀ w : V, ∃ c : K, c • v
 -/
 theorem finrank_le_one (v : V) (h : ∀ w : V, ∃ c : K, c • v = w) : finrank K V ≤ 1 :=
   by
+  haveI := nontrivial_of_invariantBasisNumber K
   rcases eq_or_ne v 0 with (rfl | hn)
   · haveI :=
       subsingleton_of_forall_eq (0 : V) fun w =>
@@ -521,16 +542,7 @@ section SubalgebraRank
 
 open Module
 
-variable {F E : Type _} [Field F] [Ring E] [Algebra F E]
-
-@[simp]
-theorem Subalgebra.rank_bot [Nontrivial E] : Module.rank F (⊥ : Subalgebra F E) = 1 :=
-  ((Subalgebra.toSubmoduleEquiv (⊥ : Subalgebra F E)).symm.trans <|
-          LinearEquiv.ofEq _ _ Algebra.toSubmodule_bot).rank_eq.trans <|
-    by
-    rw [rank_span_set]
-    exacts[mk_singleton _, linearIndependent_singleton one_ne_zero]
-#align subalgebra.rank_bot Subalgebra.rank_bot
+variable {F E : Type _} [CommRing F] [Ring E] [Algebra F E]
 
 @[simp]
 theorem Subalgebra.rank_toSubmodule (S : Subalgebra F E) :
@@ -564,10 +576,26 @@ theorem Subalgebra.rank_top : Module.rank F (⊤ : Subalgebra F E) = Module.rank
   exact rank_top F E
 #align subalgebra.rank_top Subalgebra.rank_top
 
+section
+
+variable [StrongRankCondition F] [NoZeroSMulDivisors F E] [Nontrivial E]
+
 @[simp]
-theorem Subalgebra.finrank_bot [Nontrivial E] : finrank F (⊥ : Subalgebra F E) = 1 :=
+theorem Subalgebra.rank_bot : Module.rank F (⊥ : Subalgebra F E) = 1 :=
+  ((Subalgebra.toSubmoduleEquiv (⊥ : Subalgebra F E)).symm.trans <|
+          LinearEquiv.ofEq _ _ Algebra.toSubmodule_bot).rank_eq.trans <|
+    by
+    letI := Module.nontrivial F E
+    rw [rank_span_set]
+    exacts[mk_singleton _, linearIndependent_singleton one_ne_zero]
+#align subalgebra.rank_bot Subalgebra.rank_bot
+
+@[simp]
+theorem Subalgebra.finrank_bot : finrank F (⊥ : Subalgebra F E) = 1 :=
   finrank_eq_of_rank_eq (by simp)
 #align subalgebra.finrank_bot Subalgebra.finrank_bot
 
+end
+
 end SubalgebraRank
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/06a655b5fcfbda03502f9158bbf6c0f1400886f9

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Chris Hughes, Anne Baanen
 
 ! This file was ported from Lean 3 source module linear_algebra.finrank
-! leanprover-community/mathlib commit c4658a649d216f57e99621708b09dcb3dcccbd23
+! leanprover-community/mathlib commit 039a089d2a4b93c761b234f3e5f5aeb752bac60f
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -63,41 +63,41 @@ noncomputable def finrank (R V : Type _) [Semiring R] [AddCommGroup V] [Module R
   (Module.rank R V).toNat
 #align finite_dimensional.finrank FiniteDimensional.finrank
 
-theorem finrank_eq_of_dim_eq {n : ℕ} (h : Module.rank K V = ↑n) : finrank K V = n :=
+theorem finrank_eq_of_rank_eq {n : ℕ} (h : Module.rank K V = ↑n) : finrank K V = n :=
   by
   apply_fun to_nat  at h
   rw [to_nat_cast] at h
   exact_mod_cast h
-#align finite_dimensional.finrank_eq_of_dim_eq FiniteDimensional.finrank_eq_of_dim_eq
+#align finite_dimensional.finrank_eq_of_rank_eq FiniteDimensional.finrank_eq_of_rank_eq
 
-theorem finrank_le_of_dim_le {n : ℕ} (h : Module.rank K V ≤ ↑n) : finrank K V ≤ n :=
+theorem finrank_le_of_rank_le {n : ℕ} (h : Module.rank K V ≤ ↑n) : finrank K V ≤ n :=
   by
   rwa [← Cardinal.toNat_le_iff_le_of_lt_aleph0, to_nat_cast] at h
   · exact h.trans_lt (nat_lt_aleph_0 n)
   · exact nat_lt_aleph_0 n
-#align finite_dimensional.finrank_le_of_dim_le FiniteDimensional.finrank_le_of_dim_le
+#align finite_dimensional.finrank_le_of_rank_le FiniteDimensional.finrank_le_of_rank_le
 
-theorem finrank_lt_of_dim_lt {n : ℕ} (h : Module.rank K V < ↑n) : finrank K V < n :=
+theorem finrank_lt_of_rank_lt {n : ℕ} (h : Module.rank K V < ↑n) : finrank K V < n :=
   by
   rwa [← Cardinal.toNat_lt_iff_lt_of_lt_aleph0, to_nat_cast] at h
   · exact h.trans (nat_lt_aleph_0 n)
   · exact nat_lt_aleph_0 n
-#align finite_dimensional.finrank_lt_of_dim_lt FiniteDimensional.finrank_lt_of_dim_lt
+#align finite_dimensional.finrank_lt_of_rank_lt FiniteDimensional.finrank_lt_of_rank_lt
 
-theorem dim_lt_of_finrank_lt {n : ℕ} (h : n < finrank K V) : ↑n < Module.rank K V :=
+theorem rank_lt_of_finrank_lt {n : ℕ} (h : n < finrank K V) : ↑n < Module.rank K V :=
   by
   rwa [← Cardinal.toNat_lt_iff_lt_of_lt_aleph0, to_nat_cast]
   · exact nat_lt_aleph_0 n
   · contrapose! h
     rw [finrank, Cardinal.toNat_apply_of_aleph0_le h]
     exact n.zero_le
-#align finite_dimensional.dim_lt_of_finrank_lt FiniteDimensional.dim_lt_of_finrank_lt
+#align finite_dimensional.rank_lt_of_finrank_lt FiniteDimensional.rank_lt_of_finrank_lt
 
 /-- If a vector space has a finite basis, then its dimension is equal to the cardinality of the
 basis. -/
 theorem finrank_eq_card_basis {ι : Type w} [Fintype ι] (h : Basis ι K V) :
     finrank K V = Fintype.card ι :=
-  finrank_eq_of_dim_eq (dim_eq_card_basis h)
+  finrank_eq_of_rank_eq (rank_eq_card_basis h)
 #align finite_dimensional.finrank_eq_card_basis FiniteDimensional.finrank_eq_card_basis
 
 /-- If a vector space has a finite basis, then its dimension is equal to the cardinality of the
@@ -108,7 +108,7 @@ theorem finrank_eq_card_finset_basis {ι : Type w} {b : Finset ι} (h : Basis.{w
 
 /-- A finite dimensional space is nontrivial if it has positive `finrank`. -/
 theorem nontrivial_of_finrank_pos (h : 0 < finrank K V) : Nontrivial V :=
-  dim_pos_iff_nontrivial.mp (dim_lt_of_finrank_lt h)
+  rank_pos_iff_nontrivial.mp (rank_lt_of_finrank_lt h)
 #align finite_dimensional.nontrivial_of_finrank_pos FiniteDimensional.nontrivial_of_finrank_pos
 
 /-- A finite dimensional space is nontrivial if it has `finrank` equal to the successor of a
@@ -135,13 +135,13 @@ variable (K)
 /-- A division_ring is one-dimensional as a vector space over itself. -/
 @[simp]
 theorem finrank_self : finrank K K = 1 :=
-  finrank_eq_of_dim_eq (by simp)
+  finrank_eq_of_rank_eq (by simp)
 #align finite_dimensional.finrank_self FiniteDimensional.finrank_self
 
 /-- The vector space of functions on a fintype ι has finrank equal to the cardinality of ι. -/
 @[simp]
 theorem finrank_fintype_fun_eq_card {ι : Type v} [Fintype ι] : finrank K (ι → K) = Fintype.card ι :=
-  finrank_eq_of_dim_eq dim_fun'
+  finrank_eq_of_rank_eq rank_fun'
 #align finite_dimensional.finrank_fintype_fun_eq_card FiniteDimensional.finrank_fintype_fun_eq_card
 
 /-- The vector space of functions on `fin n` has finrank equal to `n`. -/
@@ -155,7 +155,7 @@ end FiniteDimensional
 
 variable {K V}
 
-section ZeroDim
+section ZeroRank
 
 variable [DivisionRing K] [AddCommGroup V] [Module K V]
 
@@ -163,8 +163,8 @@ open FiniteDimensional
 
 theorem finrank_eq_zero_of_basis_imp_not_finite
     (h : ∀ s : Set V, Basis.{v} (s : Set V) K V → ¬s.Finite) : finrank K V = 0 :=
-  dif_neg fun dim_lt =>
-    h _ (Basis.ofVectorSpace K V) ((Basis.ofVectorSpace K V).finite_index_of_dim_lt_aleph0 dim_lt)
+  dif_neg fun rank_lt =>
+    h _ (Basis.ofVectorSpace K V) ((Basis.ofVectorSpace K V).finite_index_of_rank_lt_aleph0 rank_lt)
 #align finrank_eq_zero_of_basis_imp_not_finite finrank_eq_zero_of_basis_imp_not_finite
 
 theorem finrank_eq_zero_of_basis_imp_false (h : ∀ s : Finset V, Basis.{v} (s : Set V) K V → False) :
@@ -195,10 +195,10 @@ variable (K V)
 
 @[simp]
 theorem finrank_bot : finrank K (⊥ : Submodule K V) = 0 :=
-  finrank_eq_of_dim_eq (dim_bot _ _)
+  finrank_eq_of_rank_eq (rank_bot _ _)
 #align finrank_bot finrank_bot
 
-end ZeroDim
+end ZeroRank
 
 namespace LinearEquiv
 
@@ -215,7 +215,7 @@ variable [Module R M] [Module R M₂]
 theorem finrank_eq (f : M ≃ₗ[R] M₂) : finrank R M = finrank R M₂ :=
   by
   unfold finrank
-  rw [← Cardinal.toNat_lift, f.lift_dim_eq, Cardinal.toNat_lift]
+  rw [← Cardinal.toNat_lift, f.lift_rank_eq, Cardinal.toNat_lift]
 #align linear_equiv.finrank_eq LinearEquiv.finrank_eq
 
 /-- Pushforwards of finite-dimensional submodules along a `linear_equiv` have the same finrank. -/
@@ -254,7 +254,7 @@ variable [DivisionRing K] [AddCommGroup V] [Module K V]
 theorem finrank_top : finrank K (⊤ : Submodule K V) = finrank K V :=
   by
   unfold finrank
-  simp [dim_top]
+  simp [rank_top]
 #align finrank_top finrank_top
 
 end
@@ -299,7 +299,7 @@ protected noncomputable def Set.finrank (s : Set V) : ℕ :=
 variable {K}
 
 theorem finrank_span_le_card (s : Set V) [Fintype s] : finrank K (span K s) ≤ s.toFinset.card :=
-  finrank_le_of_dim_le (by simpa using dim_span_le s)
+  finrank_le_of_rank_le (by simpa using rank_span_le s)
 #align finrank_span_le_card finrank_span_le_card
 
 theorem finrank_span_finset_le_card (s : Finset V) : (s : Set V).finrank K ≤ s.card :=
@@ -318,18 +318,18 @@ theorem finrank_range_le_card {ι : Type _} [Fintype ι] {b : ι → V} :
 
 theorem finrank_span_eq_card {ι : Type _} [Fintype ι] {b : ι → V} (hb : LinearIndependent K b) :
     finrank K (span K (Set.range b)) = Fintype.card ι :=
-  finrank_eq_of_dim_eq
+  finrank_eq_of_rank_eq
     (by
-      have : Module.rank K (span K (Set.range b)) = (#Set.range b) := dim_span hb
+      have : Module.rank K (span K (Set.range b)) = (#Set.range b) := rank_span hb
       rwa [← lift_inj, mk_range_eq_of_injective hb.injective, Cardinal.mk_fintype, lift_nat_cast,
         lift_eq_nat_iff] at this)
 #align finrank_span_eq_card finrank_span_eq_card
 
 theorem finrank_span_set_eq_card (s : Set V) [Fintype s] (hs : LinearIndependent K (coe : s → V)) :
     finrank K (span K s) = s.toFinset.card :=
-  finrank_eq_of_dim_eq
+  finrank_eq_of_rank_eq
     (by
-      have : Module.rank K (span K s) = (#s) := dim_span_set hs
+      have : Module.rank K (span K s) = (#s) := rank_span_set hs
       rwa [Cardinal.mk_fintype, ← Set.toFinset_card] at this)
 #align finrank_span_set_eq_card finrank_span_set_eq_card
 
@@ -517,26 +517,26 @@ theorem finrank_le_one (v : V) (h : ∀ w : V, ∃ c : K, c • v = w) : finrank
 
 end finrank_eq_one
 
-section SubalgebraDim
+section SubalgebraRank
 
 open Module
 
 variable {F E : Type _} [Field F] [Ring E] [Algebra F E]
 
 @[simp]
-theorem Subalgebra.dim_bot [Nontrivial E] : Module.rank F (⊥ : Subalgebra F E) = 1 :=
+theorem Subalgebra.rank_bot [Nontrivial E] : Module.rank F (⊥ : Subalgebra F E) = 1 :=
   ((Subalgebra.toSubmoduleEquiv (⊥ : Subalgebra F E)).symm.trans <|
-          LinearEquiv.ofEq _ _ Algebra.toSubmodule_bot).dim_eq.trans <|
+          LinearEquiv.ofEq _ _ Algebra.toSubmodule_bot).rank_eq.trans <|
     by
-    rw [dim_span_set]
+    rw [rank_span_set]
     exacts[mk_singleton _, linearIndependent_singleton one_ne_zero]
-#align subalgebra.dim_bot Subalgebra.dim_bot
+#align subalgebra.rank_bot Subalgebra.rank_bot
 
 @[simp]
-theorem Subalgebra.dim_toSubmodule (S : Subalgebra F E) :
+theorem Subalgebra.rank_toSubmodule (S : Subalgebra F E) :
     Module.rank F S.toSubmodule = Module.rank F S :=
   rfl
-#align subalgebra.dim_to_submodule Subalgebra.dim_toSubmodule
+#align subalgebra.rank_to_submodule Subalgebra.rank_toSubmodule
 
 @[simp]
 theorem Subalgebra.finrank_toSubmodule (S : Subalgebra F E) :
@@ -544,12 +544,12 @@ theorem Subalgebra.finrank_toSubmodule (S : Subalgebra F E) :
   rfl
 #align subalgebra.finrank_to_submodule Subalgebra.finrank_toSubmodule
 
-theorem subalgebra_top_dim_eq_submodule_top_dim :
+theorem subalgebra_top_rank_eq_submodule_top_rank :
     Module.rank F (⊤ : Subalgebra F E) = Module.rank F (⊤ : Submodule F E) :=
   by
   rw [← Algebra.top_toSubmodule]
   rfl
-#align subalgebra_top_dim_eq_submodule_top_dim subalgebra_top_dim_eq_submodule_top_dim
+#align subalgebra_top_rank_eq_submodule_top_rank subalgebra_top_rank_eq_submodule_top_rank
 
 theorem subalgebra_top_finrank_eq_submodule_top_finrank :
     finrank F (⊤ : Subalgebra F E) = finrank F (⊤ : Submodule F E) :=
@@ -558,16 +558,16 @@ theorem subalgebra_top_finrank_eq_submodule_top_finrank :
   rfl
 #align subalgebra_top_finrank_eq_submodule_top_finrank subalgebra_top_finrank_eq_submodule_top_finrank
 
-theorem Subalgebra.dim_top : Module.rank F (⊤ : Subalgebra F E) = Module.rank F E :=
+theorem Subalgebra.rank_top : Module.rank F (⊤ : Subalgebra F E) = Module.rank F E :=
   by
-  rw [subalgebra_top_dim_eq_submodule_top_dim]
-  exact dim_top F E
-#align subalgebra.dim_top Subalgebra.dim_top
+  rw [subalgebra_top_rank_eq_submodule_top_rank]
+  exact rank_top F E
+#align subalgebra.rank_top Subalgebra.rank_top
 
 @[simp]
 theorem Subalgebra.finrank_bot [Nontrivial E] : finrank F (⊥ : Subalgebra F E) = 1 :=
-  finrank_eq_of_dim_eq (by simp)
+  finrank_eq_of_rank_eq (by simp)
 #align subalgebra.finrank_bot Subalgebra.finrank_bot
 
-end SubalgebraDim
+end SubalgebraRank
 

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

@@ -441,7 +441,7 @@ theorem linearIndependent_iff_card_eq_finrank_span {ι : Type _} [Fintype ι] {b
         rw [h]
       simpa [mem_map] using hx
     have hi : f.ker = ⊥ := ker_subtype _
-    convert (linearIndependent_of_top_le_span_of_card_eq_finrank hs hc).map' _ hi
+    convert(linearIndependent_of_top_le_span_of_card_eq_finrank hs hc).map' _ hi
 #align linear_independent_iff_card_eq_finrank_span linearIndependent_iff_card_eq_finrank_span
 
 theorem linearIndependent_iff_card_le_finrank_span {ι : Type _} [Fintype ι] {b : ι → V} :

mathlib commit https://github.com/leanprover-community/mathlib/commit/4c586d291f189eecb9d00581aeb3dd998ac34442

@@ -380,8 +380,8 @@ theorem linearIndependent_of_top_le_span_of_card_eq_finrank {ι : Type _} [Finty
         (b '' (Set.univ \ {i})).toFinset.card = ((Set.univ \ {i}).toFinset.image b).card := by
           rw [Set.toFinset_card, Fintype.card_ofFinset]
         _ ≤ (Set.univ \ {i}).toFinset.card := Finset.card_image_le
-        _ = (finset.univ.erase i).card := congr_arg Finset.card (Finset.ext (by simp [and_comm']))
-        _ < finset.univ.card := Finset.card_erase_lt_of_mem (Finset.mem_univ i)
+        _ = (finset.univ.erase i).card := (congr_arg Finset.card (Finset.ext (by simp [and_comm'])))
+        _ < finset.univ.card := (Finset.card_erase_lt_of_mem (Finset.mem_univ i))
         _ = finrank K V := card_eq
         
     -- We already have that `b '' univ` spans the whole space,
@@ -407,7 +407,7 @@ theorem linearIndependent_of_top_le_span_of_card_eq_finrank {ι : Type _} [Finty
       (b i + (g i)⁻¹ • (s.erase i).Sum fun j => g j • b j) =
           (g i)⁻¹ • (g i • b i + (s.erase i).Sum fun j => g j • b j) :=
         by rw [smul_add, ← mul_smul, inv_mul_cancel gx_ne_zero, one_smul]
-      _ = (g i)⁻¹ • 0 := congr_arg _ _
+      _ = (g i)⁻¹ • 0 := (congr_arg _ _)
       _ = 0 := smul_zero _
       
     -- And then it's just a bit of manipulation with finite sums.

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

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)

@@ -38,7 +38,6 @@ universe u v w
 open Cardinal Submodule Module Function
 
 variable {R : Type u} {M : Type v} {N : Type w}
-
 variable [Ring R] [AddCommGroup M] [Module R M] [AddCommGroup N] [Module R N]
 
 namespace FiniteDimensional
@@ -108,7 +107,6 @@ open FiniteDimensional
 namespace LinearEquiv
 
 variable {R M M₂ : Type*} [Ring R] [AddCommGroup M] [AddCommGroup M₂]
-
 variable [Module R M] [Module R M₂]
 
 /-- The dimension of a finite dimensional space is preserved under linear equivalence. -/

Redefine these operations in terms of toENat.

@@ -58,7 +58,7 @@ noncomputable def finrank (R M : Type*) [Semiring R] [AddCommGroup M] [Module R
 
 theorem finrank_eq_of_rank_eq {n : ℕ} (h : Module.rank R M = ↑n) : finrank R M = n := by
   apply_fun toNat at h
-  rw [toNat_cast] at h
+  rw [toNat_natCast] at h
   exact mod_cast h
 #align finite_dimensional.finrank_eq_of_rank_eq FiniteDimensional.finrank_eq_of_rank_eq
 
@@ -71,19 +71,19 @@ lemma rank_eq_ofNat_iff_finrank_eq_ofNat (n : ℕ) [Nat.AtLeastTwo n] :
   Cardinal.toNat_eq_ofNat.symm
 
 theorem finrank_le_of_rank_le {n : ℕ} (h : Module.rank R M ≤ ↑n) : finrank R M ≤ n := by
-  rwa [← Cardinal.toNat_le_iff_le_of_lt_aleph0, toNat_cast] at h
+  rwa [← Cardinal.toNat_le_iff_le_of_lt_aleph0, toNat_natCast] at h
   · exact h.trans_lt (nat_lt_aleph0 n)
   · exact nat_lt_aleph0 n
 #align finite_dimensional.finrank_le_of_rank_le FiniteDimensional.finrank_le_of_rank_le
 
 theorem finrank_lt_of_rank_lt {n : ℕ} (h : Module.rank R M < ↑n) : finrank R M < n := by
-  rwa [← Cardinal.toNat_lt_iff_lt_of_lt_aleph0, toNat_cast] at h
+  rwa [← Cardinal.toNat_lt_iff_lt_of_lt_aleph0, toNat_natCast] at h
   · exact h.trans (nat_lt_aleph0 n)
   · exact nat_lt_aleph0 n
 #align finite_dimensional.finrank_lt_of_rank_lt FiniteDimensional.finrank_lt_of_rank_lt
 
 theorem lt_rank_of_lt_finrank {n : ℕ} (h : n < finrank R M) : ↑n < Module.rank R M := by
-  rwa [← Cardinal.toNat_lt_iff_lt_of_lt_aleph0, toNat_cast]
+  rwa [← Cardinal.toNat_lt_iff_lt_of_lt_aleph0, toNat_natCast]
   · exact nat_lt_aleph0 n
   · contrapose! h
     rw [finrank, Cardinal.toNat_apply_of_aleph0_le h]
@@ -96,7 +96,7 @@ theorem one_lt_rank_of_one_lt_finrank (h : 1 < finrank R M) : 1 < Module.rank R
 theorem finrank_le_finrank_of_rank_le_rank
     (h : lift.{w} (Module.rank R M) ≤ Cardinal.lift.{v} (Module.rank R N))
     (h' : Module.rank R N < ℵ₀) : finrank R M ≤ finrank R N := by
-  simpa only [toNat_lift] using toNat_le_of_le_of_lt_aleph0 (lift_lt_aleph0.mpr h') h
+  simpa only [toNat_lift] using toNat_le_toNat h (lift_lt_aleph0.mpr h')
 #align finite_dimensional.finrank_le_finrank_of_rank_le_rank FiniteDimensional.finrank_le_finrank_of_rank_le_rank
 
 end Ring

Move toNat and toPartENat to new files.

No changes in the code moved to the new files. One lemma remains in Basic but used toNat in the proof, so I changed the proof.

I'm going to redefine them in terms of toENat, so I need to move them out of Basic first.

@@ -4,6 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Chris Hughes, Anne Baanen
 -/
 import Mathlib.LinearAlgebra.Dimension.Basic
+import Mathlib.SetTheory.Cardinal.ToNat
 
 #align_import linear_algebra.finrank from "leanprover-community/mathlib"@"347636a7a80595d55bedf6e6fbd996a3c39da69a"
 

The files Mathlib.LinearAlgebra.FreeModule.Rank, Mathlib.LinearAlgebra.FreeModule.Finite.Rank, Mathlib.LinearAlgebra.Dimension and Mathlib.LinearAlgebra.Finrank were reorganized into a folder Mathlib.LinearAlgebra.Dimension, containing the following files

• Basic.lean: Contains the definition of Module.rank.
• Finrank.lean: Contains the definition of FiniteDimensional.finrank.
• StrongRankCondition.lean: Contains results about rank and finrank over rings satisfying strong rank condition
• Free.lean: Contains results about rank and finrank of free modules
• Finite.lean: Contains conditions or consequences for rank to be finite or zero
• Constructions.lean: Contains the calculation of the rank of various constructions.
• DivisionRing.lean: Contains results about rank and finrank of spaces over division rings.
• LinearMap.lean: Contains results about LinearMap.rank

API changes: IsNoetherian.rank_lt_aleph0 and FiniteDimensional.rank_lt_aleph0 are replaced with rank_lt_aleph0. Module.Free.finite_basis was renamed to Module.Finite.finite_basis. FiniteDimensional.finrank_eq_rank was renamed to finrank_eq_rank. rank_eq_cardinal_basis and rank_eq_cardinal_basis' were removed in favour of Basis.mk_eq_mk and Basis.mk_eq_mk''.

Co-authored-by: Andrew Yang <36414270+erdOne@users.noreply.github.com>

• Rename cardinal_lift_le_rank_of_linearIndependent, cardinal_le_rank_of_linearIndependent('), cardinal_mk/fintype_card/finset_card_le_finrank_of_linearIndependent, fintype_card_le_finrank_of_linearIndependent, finset_card_le_finrank_of_linearIndependent by removing trailing _of_linearIndependent in favor of namespace LinearIndependent.

• Remove cardinal_lift_le_rank_of_linearIndependent', exact duplicate of the version without the prime

• Rename FiniteDimensional/Module.Finite.lt_aleph0_of_linearIndependent to LinearIndependent.lt_aleph0_of_finiteDimensional/finite

• Add one lemma LinearIndependent.aleph0_le_rank in LinearAlgebra/Dimension and two lemmas LinearIndependent.finrank_eq_zero_of_infinite and finrank_eq_nat_card_basis in LinearAlgebra/Finrank

• Remove StrongRankCondition from finrank_eq_zero_of_basis_imp_not_finite and four subsequent lemmas

Co-authored-by: Junyan Xu <junyanxu.math@gmail.com> Co-authored-by: Andrew Yang <36414270+erdOne@users.noreply.github.com>

@@ -184,14 +184,27 @@ end FiniteDimensional
 
 section ZeroRank
 
-variable [Ring K] [StrongRankCondition K] [AddCommGroup V] [Module K V] [Module.Free K V]
+variable [Ring K] [AddCommGroup V] [Module K V]
 
 open FiniteDimensional
 
+lemma LinearIndependent.finrank_eq_zero_of_infinite {ι} [Nontrivial K] [Infinite ι] {v : ι → V}
+    (hv : LinearIndependent K v) : finrank K V = 0 := toNat_eq_zero.mpr <| .inr hv.aleph0_le_rank
+
+theorem finrank_eq_nat_card_basis {ι} [StrongRankCondition K]
+    (h : Basis ι K V) : finrank K V = Nat.card ι := by
+  rw [Nat.card, ← toNat_lift.{v}, h.mk_eq_rank, toNat_lift, finrank]
+
+variable [Module.Free K V]
+
 theorem finrank_eq_zero_of_basis_imp_not_finite
     (h : ∀ s : Set V, Basis.{v} (s : Set V) K V → ¬s.Finite) : finrank K V = 0 := by
+  cases subsingleton_or_nontrivial K
+  · have := Module.subsingleton K V
+    exact (h ∅ ⟨LinearEquiv.ofSubsingleton _ _⟩ Set.finite_empty).elim
   obtain ⟨_, ⟨b⟩⟩ := (Module.free_iff_set K V).mp ‹_›
-  exact dif_neg fun rank_lt => h _ b (b.finite_index_of_rank_lt_aleph0 rank_lt)
+  have := Set.Infinite.to_subtype (h _ b)
+  exact b.linearIndependent.finrank_eq_zero_of_infinite
 #align finrank_eq_zero_of_basis_imp_not_finite finrank_eq_zero_of_basis_imp_not_finite
 
 theorem finrank_eq_zero_of_basis_imp_false (h : ∀ s : Finset V, Basis.{v} (s : Set V) K V → False) :

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>

@@ -62,7 +62,7 @@ noncomputable def finrank (R V : Type*) [Semiring R] [AddCommGroup V] [Module R
 theorem finrank_eq_of_rank_eq {n : ℕ} (h : Module.rank K V = ↑n) : finrank K V = n := by
   apply_fun toNat at h
   rw [toNat_cast] at h
-  exact_mod_cast h
+  exact mod_cast h
 #align finite_dimensional.finrank_eq_of_rank_eq FiniteDimensional.finrank_eq_of_rank_eq
 
 lemma rank_eq_one_iff_finrank_eq_one : Module.rank K V = 1 ↔ finrank K V = 1 :=

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
• leanprover/lean4#2790
• leanprover/lean4#2783
• leanprover/lean4#2825
• leanprover/lean4#2722

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>

@@ -436,7 +436,7 @@ theorem linearIndependent_of_top_le_span_of_card_eq_finrank {ι : Type*} [Fintyp
     · refine' neg_mem (smul_mem _ _ (sum_mem fun k hk => _))
       obtain ⟨k_ne_i, _⟩ := Finset.mem_erase.mp hk
       refine' smul_mem _ _ (subset_span ⟨k, _, rfl⟩)
-      simp_all only [Set.mem_univ, Set.mem_diff, Set.mem_singleton_iff]
+      simp_all only [Set.mem_univ, Set.mem_diff, Set.mem_singleton_iff, and_self, not_false_eq_true]
     -- To show `b i` is a weighted sum of the other `b j`s, we'll rewrite this sum
     -- to have the form of the assumption `dependent`.
     apply eq_neg_of_add_eq_zero_left

@@ -118,6 +118,7 @@ theorem nontrivial_of_finrank_eq_succ {n : ℕ} (hn : finrank K V = n.succ) : No
 #align finite_dimensional.nontrivial_of_finrank_eq_succ FiniteDimensional.nontrivial_of_finrank_eq_succ
 
 /-- A (finite dimensional) space that is a subsingleton has zero `finrank`. -/
+@[nontriviality]
 theorem finrank_zero_of_subsingleton [h : Subsingleton V] : finrank K V = 0 := by
   by_contra h0
   obtain ⟨x, y, hxy⟩ := nontrivial_of_finrank_pos (Nat.pos_of_ne_zero h0)

And the same thing for StarSubalgebra R A. IntermediateField was already handled in #7957.

As a result, nine (obvious) lemmas are now true by definition.

This slightly adjusts the statement of Algebra.toSubmodule_bot to make it simpler and true by definition; the original statement can be recovered by rewriting by Submodule.one_eq_span, which I've had to add in some downstream proofs.

@@ -591,11 +591,10 @@ variable [StrongRankCondition F] [NoZeroSMulDivisors F E] [Nontrivial E]
 
 @[simp]
 theorem Subalgebra.rank_bot : Module.rank F (⊥ : Subalgebra F E) = 1 :=
-  ((Subalgebra.toSubmoduleEquiv (⊥ : Subalgebra F E)).symm.trans <|
-          LinearEquiv.ofEq _ _ Algebra.toSubmodule_bot).rank_eq.trans <| by
+  (Subalgebra.toSubmoduleEquiv (⊥ : Subalgebra F E)).symm.rank_eq.trans <| by
+    rw [Algebra.toSubmodule_bot, one_eq_span, rank_span_set, mk_singleton _]
     letI := Module.nontrivial F E
-    rw [rank_span_set]
-    exacts [mk_singleton _, linearIndependent_singleton one_ne_zero]
+    exact linearIndependent_singleton one_ne_zero
 #align subalgebra.rank_bot Subalgebra.rank_bot
 
 @[simp]

@@ -497,15 +497,12 @@ theorem coe_basisOfTopLeSpanOfCardEqFinrank {ι : Type*} [Fintype ι] (b : ι 
 /-- A finset of `finrank K V` vectors forms a basis if they span the whole space. -/
 @[simps! repr_apply]
 noncomputable def finsetBasisOfTopLeSpanOfCardEqFinrank {s : Finset V}
-    (le_span : ⊤ ≤ span K (s : Set V)) (card_eq : s.card = finrank K V) : Basis (s : Set V) K V :=
+    (le_span : ⊤ ≤ span K (s : Set V)) (card_eq : s.card = finrank K V) : Basis {x // x ∈ s} K V :=
   basisOfTopLeSpanOfCardEqFinrank ((↑) : ↥(s : Set V) → V)
     ((@Subtype.range_coe_subtype _ fun x => x ∈ s).symm ▸ le_span)
     (_root_.trans (Fintype.card_coe _) card_eq)
 #align finset_basis_of_top_le_span_of_card_eq_finrank finsetBasisOfTopLeSpanOfCardEqFinrank
 
--- These lemmas have always been bad (#7657), but lean4#2644 made `simp` start noticing
-attribute [nolint simpNF] finsetBasisOfTopLeSpanOfCardEqFinrank_repr_apply
-
 /-- A set of `finrank K V` vectors forms a basis if they span the whole space. -/
 @[simps! repr_apply]
 noncomputable def setBasisOfTopLeSpanOfCardEqFinrank {s : Set V} [Fintype s]

This reverts commit f3695eb2.

@@ -503,6 +503,9 @@ noncomputable def finsetBasisOfTopLeSpanOfCardEqFinrank {s : Finset V}
     (_root_.trans (Fintype.card_coe _) card_eq)
 #align finset_basis_of_top_le_span_of_card_eq_finrank finsetBasisOfTopLeSpanOfCardEqFinrank
 
+-- These lemmas have always been bad (#7657), but lean4#2644 made `simp` start noticing
+attribute [nolint simpNF] finsetBasisOfTopLeSpanOfCardEqFinrank_repr_apply
+
 /-- A set of `finrank K V` vectors forms a basis if they span the whole space. -/
 @[simps! repr_apply]
 noncomputable def setBasisOfTopLeSpanOfCardEqFinrank {s : Set V} [Fintype s]

This reverts commit 26eb2b0a.

@@ -503,9 +503,6 @@ noncomputable def finsetBasisOfTopLeSpanOfCardEqFinrank {s : Finset V}
     (_root_.trans (Fintype.card_coe _) card_eq)
 #align finset_basis_of_top_le_span_of_card_eq_finrank finsetBasisOfTopLeSpanOfCardEqFinrank
 
--- These lemmas have always been bad (#7657), but lean4#2644 made `simp` start noticing
-attribute [nolint simpNF] finsetBasisOfTopLeSpanOfCardEqFinrank_repr_apply
-
 /-- A set of `finrank K V` vectors forms a basis if they span the whole space. -/
 @[simps! repr_apply]
 noncomputable def setBasisOfTopLeSpanOfCardEqFinrank {s : Set V} [Fintype s]

This includes all the changes from #7606.

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

@@ -503,6 +503,9 @@ noncomputable def finsetBasisOfTopLeSpanOfCardEqFinrank {s : Finset V}
     (_root_.trans (Fintype.card_coe _) card_eq)
 #align finset_basis_of_top_le_span_of_card_eq_finrank finsetBasisOfTopLeSpanOfCardEqFinrank
 
+-- These lemmas have always been bad (#7657), but lean4#2644 made `simp` start noticing
+attribute [nolint simpNF] finsetBasisOfTopLeSpanOfCardEqFinrank_repr_apply
+
 /-- A set of `finrank K V` vectors forms a basis if they span the whole space. -/
 @[simps! repr_apply]
 noncomputable def setBasisOfTopLeSpanOfCardEqFinrank {s : Set V} [Fintype s]

@@ -374,24 +374,24 @@ theorem span_lt_top_of_card_lt_finrank {s : Set V} [Fintype s]
 
 /-- Given a family of `n` linearly independent vectors in a finite-dimensional space of
 dimension `> n`, one may extend the family by another vector while retaining linear independence. -/
-theorem exists_linear_independent_snoc_of_lt_finrank {n : ℕ} {v : Fin n → V}
+theorem exists_linearIndependent_snoc_of_lt_finrank {n : ℕ} {v : Fin n → V}
     (hv : LinearIndependent K v) (h : n < finrank K V) :
     ∃ (x : V), LinearIndependent K (Fin.snoc v x) :=
-  exists_linear_independent_snoc_of_lt_rank hv (lt_rank_of_lt_finrank h)
+  exists_linearIndependent_snoc_of_lt_rank hv (lt_rank_of_lt_finrank h)
 
 /-- Given a family of `n` linearly independent vectors in a finite-dimensional space of
 dimension `> n`, one may extend the family by another vector while retaining linear independence. -/
-theorem exists_linear_independent_cons_of_lt_finrank {n : ℕ} {v : Fin n → V}
+theorem exists_linearIndependent_cons_of_lt_finrank {n : ℕ} {v : Fin n → V}
     (hv : LinearIndependent K v) (h : n < finrank K V) :
     ∃ (x : V), LinearIndependent K (Fin.cons x v) :=
-  exists_linear_independent_cons_of_lt_rank hv (lt_rank_of_lt_finrank h)
+  exists_linearIndependent_cons_of_lt_rank hv (lt_rank_of_lt_finrank h)
 
 /-- Given a nonzero vector in a finite-dimensional space of dimension `> 1`, one may find another
 vector linearly independent of the first one. -/
-theorem exists_linear_independent_pair_of_one_lt_finrank
+theorem exists_linearIndependent_pair_of_one_lt_finrank
     (h : 1 < finrank K V) {x : V} (hx : x ≠ 0) :
     ∃ y, LinearIndependent K ![x, y] :=
-  exists_linear_independent_pair_of_one_lt_rank (one_lt_rank_of_one_lt_finrank h) hx
+  exists_linearIndependent_pair_of_one_lt_rank (one_lt_rank_of_one_lt_finrank h) hx
 
 end DivisionRing
 

@@ -85,13 +85,16 @@ theorem finrank_lt_of_rank_lt {n : ℕ} (h : Module.rank K V < ↑n) : finrank K
   · exact nat_lt_aleph0 n
 #align finite_dimensional.finrank_lt_of_rank_lt FiniteDimensional.finrank_lt_of_rank_lt
 
-theorem rank_lt_of_finrank_lt {n : ℕ} (h : n < finrank K V) : ↑n < Module.rank K V := by
+theorem lt_rank_of_lt_finrank {n : ℕ} (h : n < finrank K V) : ↑n < Module.rank K V := by
   rwa [← Cardinal.toNat_lt_iff_lt_of_lt_aleph0, toNat_cast]
   · exact nat_lt_aleph0 n
   · contrapose! h
     rw [finrank, Cardinal.toNat_apply_of_aleph0_le h]
     exact n.zero_le
-#align finite_dimensional.rank_lt_of_finrank_lt FiniteDimensional.rank_lt_of_finrank_lt
+#align finite_dimensional.rank_lt_of_finrank_lt FiniteDimensional.lt_rank_of_lt_finrank
+
+theorem one_lt_rank_of_one_lt_finrank (h : 1 < finrank K V) : 1 < Module.rank K V := by
+  simpa using lt_rank_of_lt_finrank h
 
 theorem finrank_le_finrank_of_rank_le_rank
     (h : lift.{v'} (Module.rank K V) ≤ Cardinal.lift.{v} (Module.rank K V₂))
@@ -105,7 +108,7 @@ variable [Nontrivial K] [NoZeroSMulDivisors K V]
 
 /-- A finite dimensional space is nontrivial if it has positive `finrank`. -/
 theorem nontrivial_of_finrank_pos (h : 0 < finrank K V) : Nontrivial V :=
-  rank_pos_iff_nontrivial.mp (rank_lt_of_finrank_lt h)
+  rank_pos_iff_nontrivial.mp (lt_rank_of_lt_finrank h)
 #align finite_dimensional.nontrivial_of_finrank_pos FiniteDimensional.nontrivial_of_finrank_pos
 
 /-- A finite dimensional space is nontrivial if it has `finrank` equal to the successor of a
@@ -369,6 +372,27 @@ theorem span_lt_top_of_card_lt_finrank {s : Set V} [Fintype s]
   lt_top_of_finrank_lt_finrank (lt_of_le_of_lt (finrank_span_le_card _) card_lt)
 #align span_lt_top_of_card_lt_finrank span_lt_top_of_card_lt_finrank
 
+/-- Given a family of `n` linearly independent vectors in a finite-dimensional space of
+dimension `> n`, one may extend the family by another vector while retaining linear independence. -/
+theorem exists_linear_independent_snoc_of_lt_finrank {n : ℕ} {v : Fin n → V}
+    (hv : LinearIndependent K v) (h : n < finrank K V) :
+    ∃ (x : V), LinearIndependent K (Fin.snoc v x) :=
+  exists_linear_independent_snoc_of_lt_rank hv (lt_rank_of_lt_finrank h)
+
+/-- Given a family of `n` linearly independent vectors in a finite-dimensional space of
+dimension `> n`, one may extend the family by another vector while retaining linear independence. -/
+theorem exists_linear_independent_cons_of_lt_finrank {n : ℕ} {v : Fin n → V}
+    (hv : LinearIndependent K v) (h : n < finrank K V) :
+    ∃ (x : V), LinearIndependent K (Fin.cons x v) :=
+  exists_linear_independent_cons_of_lt_rank hv (lt_rank_of_lt_finrank h)
+
+/-- Given a nonzero vector in a finite-dimensional space of dimension `> 1`, one may find another
+vector linearly independent of the first one. -/
+theorem exists_linear_independent_pair_of_one_lt_finrank
+    (h : 1 < finrank K V) {x : V} (hx : x ≠ 0) :
+    ∃ y, LinearIndependent K ![x, y] :=
+  exists_linear_independent_pair_of_one_lt_rank (one_lt_rank_of_one_lt_finrank h) hx
+
 end DivisionRing
 
 end Span

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

This has nice performance benefits.

@@ -55,7 +55,7 @@ Defined by convention to be `0` if the space has infinite rank.
 For a vector space `V` over a field `K`, this is the same as the finite dimension
 of `V` over `K`.
 -/
-noncomputable def finrank (R V : Type _) [Semiring R] [AddCommGroup V] [Module R V] : ℕ :=
+noncomputable def finrank (R V : Type*) [Semiring R] [AddCommGroup V] [Module R V] : ℕ :=
   Cardinal.toNat (Module.rank R V)
 #align finite_dimensional.finrank FiniteDimensional.finrank
 
@@ -136,7 +136,7 @@ theorem finrank_eq_card_basis {ι : Type w} [Fintype ι] (h : Basis ι K V) :
 
 /-- If a vector space (or module) has a finite basis, then its dimension (or rank) is equal to the
 cardinality of the basis. This lemma uses a `Finset` instead of indexed types. -/
-theorem finrank_eq_card_finset_basis {ι : Type w} {b : Finset ι} (h : Basis.{w} b K V) :
+theorem finrank_eq_card_finset_basis {ι : Type w} {b : Finset ι} (h : Basis b K V) :
     finrank K V = Finset.card b := by rw [finrank_eq_card_basis h, Fintype.card_coe]
 #align finite_dimensional.finrank_eq_card_finset_basis FiniteDimensional.finrank_eq_card_finset_basis
 
@@ -222,7 +222,7 @@ open FiniteDimensional
 
 variable [Ring K] [AddCommGroup V] [Module K V] {V₂ : Type v'} [AddCommGroup V₂] [Module K V₂]
 
-variable {R M M₂ : Type _} [Ring R] [AddCommGroup M] [AddCommGroup M₂]
+variable {R M M₂ : Type*} [Ring R] [AddCommGroup M] [AddCommGroup M₂]
 
 variable [Module R M] [Module R M₂]
 
@@ -326,7 +326,7 @@ theorem finrank_span_finset_le_card (s : Finset V) : (s : Set V).finrank K ≤ s
     _ = s.card := by simp
 #align finrank_span_finset_le_card finrank_span_finset_le_card
 
-theorem finrank_range_le_card {ι : Type _} [Fintype ι] {b : ι → V} :
+theorem finrank_range_le_card {ι : Type*} [Fintype ι] {b : ι → V} :
     (Set.range b).finrank K ≤ Fintype.card ι := by
   classical
   refine (finrank_span_le_card _).trans ?_
@@ -334,7 +334,7 @@ theorem finrank_range_le_card {ι : Type _} [Fintype ι] {b : ι → V} :
   exact Finset.card_image_le
 #align finrank_range_le_card finrank_range_le_card
 
-theorem finrank_span_eq_card {ι : Type _} [Fintype ι] {b : ι → V} (hb : LinearIndependent K b) :
+theorem finrank_span_eq_card {ι : Type*} [Fintype ι] {b : ι → V} (hb : LinearIndependent K b) :
     finrank K (span K (Set.range b)) = Fintype.card ι :=
   finrank_eq_of_rank_eq
     (by
@@ -379,7 +379,7 @@ section DivisionRing
 
 variable [DivisionRing K] [AddCommGroup V] [Module K V]
 
-theorem linearIndependent_of_top_le_span_of_card_eq_finrank {ι : Type _} [Fintype ι] {b : ι → V}
+theorem linearIndependent_of_top_le_span_of_card_eq_finrank {ι : Type*} [Fintype ι] {b : ι → V}
     (spans : ⊤ ≤ span K (Set.range b)) (card_eq : Fintype.card ι = finrank K V) :
     LinearIndependent K b :=
   linearIndependent_iff'.mpr fun s g dependent i i_mem_s => by
@@ -427,7 +427,7 @@ theorem linearIndependent_of_top_le_span_of_card_eq_finrank {ι : Type _} [Finty
 
 /-- A finite family of vectors is linearly independent if and only if
 its cardinality equals the dimension of its span. -/
-theorem linearIndependent_iff_card_eq_finrank_span {ι : Type _} [Fintype ι] {b : ι → V} :
+theorem linearIndependent_iff_card_eq_finrank_span {ι : Type*} [Fintype ι] {b : ι → V} :
     LinearIndependent K b ↔ Fintype.card ι = (Set.range b).finrank K := by
   constructor
   · intro h
@@ -452,19 +452,19 @@ theorem linearIndependent_iff_card_eq_finrank_span {ι : Type _} [Fintype ι] {b
     convert (linearIndependent_of_top_le_span_of_card_eq_finrank hs hc).map' _ hi
 #align linear_independent_iff_card_eq_finrank_span linearIndependent_iff_card_eq_finrank_span
 
-theorem linearIndependent_iff_card_le_finrank_span {ι : Type _} [Fintype ι] {b : ι → V} :
+theorem linearIndependent_iff_card_le_finrank_span {ι : Type*} [Fintype ι] {b : ι → V} :
     LinearIndependent K b ↔ Fintype.card ι ≤ (Set.range b).finrank K := by
   rw [linearIndependent_iff_card_eq_finrank_span, finrank_range_le_card.le_iff_eq]
 #align linear_independent_iff_card_le_finrank_span linearIndependent_iff_card_le_finrank_span
 
 /-- A family of `finrank K V` vectors forms a basis if they span the whole space. -/
-noncomputable def basisOfTopLeSpanOfCardEqFinrank {ι : Type _} [Fintype ι] (b : ι → V)
+noncomputable def basisOfTopLeSpanOfCardEqFinrank {ι : Type*} [Fintype ι] (b : ι → V)
     (le_span : ⊤ ≤ span K (Set.range b)) (card_eq : Fintype.card ι = finrank K V) : Basis ι K V :=
   Basis.mk (linearIndependent_of_top_le_span_of_card_eq_finrank le_span card_eq) le_span
 #align basis_of_top_le_span_of_card_eq_finrank basisOfTopLeSpanOfCardEqFinrank
 
 @[simp]
-theorem coe_basisOfTopLeSpanOfCardEqFinrank {ι : Type _} [Fintype ι] (b : ι → V)
+theorem coe_basisOfTopLeSpanOfCardEqFinrank {ι : Type*} [Fintype ι] (b : ι → V)
     (le_span : ⊤ ≤ span K (Set.range b)) (card_eq : Fintype.card ι = finrank K V) :
     ⇑(basisOfTopLeSpanOfCardEqFinrank b le_span card_eq) = b :=
   Basis.coe_mk _ _
@@ -530,7 +530,7 @@ section SubalgebraRank
 
 open Module
 
-variable {F E : Type _} [CommRing F] [Ring E] [Algebra F E]
+variable {F E : Type*} [CommRing F] [Ring E] [Algebra F E]
 
 @[simp]
 theorem Subalgebra.rank_toSubmodule (S : Subalgebra F E) :

@@ -65,6 +65,14 @@ theorem finrank_eq_of_rank_eq {n : ℕ} (h : Module.rank K V = ↑n) : finrank K
   exact_mod_cast h
 #align finite_dimensional.finrank_eq_of_rank_eq FiniteDimensional.finrank_eq_of_rank_eq
 
+lemma rank_eq_one_iff_finrank_eq_one : Module.rank K V = 1 ↔ finrank K V = 1 :=
+  Cardinal.toNat_eq_one.symm
+
+/-- This is like `rank_eq_one_iff_finrank_eq_one` but works for `2`, `3`, `4`, ... -/
+lemma rank_eq_ofNat_iff_finrank_eq_ofNat (n : ℕ) [Nat.AtLeastTwo n] :
+    Module.rank K V = OfNat.ofNat n ↔ finrank K V = OfNat.ofNat n :=
+  Cardinal.toNat_eq_ofNat.symm
+
 theorem finrank_le_of_rank_le {n : ℕ} (h : Module.rank K V ≤ ↑n) : finrank K V ≤ n := by
   rwa [← Cardinal.toNat_le_iff_le_of_lt_aleph0, toNat_cast] at h
   · exact h.trans_lt (nat_lt_aleph0 n)

This uncovers a few situations where a lemma was stated with the wrong decidability assumption. The corrected lemmas are strictly more syntactically-general.

This is exhaustive in the LinearAlgebra folder.

Where removal is impractical, this switches to open Classical in to make the intent clear.

@@ -34,7 +34,7 @@ You should not assume that there has been any effort to state lemmas as generall
 
 universe u v v' w
 
-open Classical Cardinal
+open Cardinal
 
 open Cardinal Submodule Module Function
 
@@ -319,10 +319,11 @@ theorem finrank_span_finset_le_card (s : Finset V) : (s : Set V).finrank K ≤ s
 #align finrank_span_finset_le_card finrank_span_finset_le_card
 
 theorem finrank_range_le_card {ι : Type _} [Fintype ι] {b : ι → V} :
-    (Set.range b).finrank K ≤ Fintype.card ι :=
-  (finrank_span_le_card _).trans <| by
-    rw [Set.toFinset_range]
-    exact Finset.card_image_le
+    (Set.range b).finrank K ≤ Fintype.card ι := by
+  classical
+  refine (finrank_span_le_card _).trans ?_
+  rw [Set.toFinset_range]
+  exact Finset.card_image_le
 #align finrank_range_le_card finrank_range_le_card
 
 theorem finrank_span_eq_card {ι : Type _} [Fintype ι] {b : ι → V} (hb : LinearIndependent K b) :
@@ -374,6 +375,7 @@ theorem linearIndependent_of_top_le_span_of_card_eq_finrank {ι : Type _} [Finty
     (spans : ⊤ ≤ span K (Set.range b)) (card_eq : Fintype.card ι = finrank K V) :
     LinearIndependent K b :=
   linearIndependent_iff'.mpr fun s g dependent i i_mem_s => by
+    classical
     by_contra gx_ne_zero
     -- We'll derive a contradiction by showing `b '' (univ \ {i})` of cardinality `n - 1`
     -- spans a vector space of dimension `n`.

• depends on: #5966

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

@@ -2,14 +2,11 @@
 Copyright (c) 2019 Chris Hughes. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Chris Hughes, Anne Baanen
-
-! This file was ported from Lean 3 source module linear_algebra.finrank
-! leanprover-community/mathlib commit 347636a7a80595d55bedf6e6fbd996a3c39da69a
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.LinearAlgebra.Dimension
 
+#align_import linear_algebra.finrank from "leanprover-community/mathlib"@"347636a7a80595d55bedf6e6fbd996a3c39da69a"
+
 /-!
 # Finite dimension of vector spaces
 

@@ -332,7 +332,7 @@ theorem finrank_span_eq_card {ι : Type _} [Fintype ι] {b : ι → V} (hb : Lin
     finrank K (span K (Set.range b)) = Fintype.card ι :=
   finrank_eq_of_rank_eq
     (by
-      have : Module.rank K (span K (Set.range b)) = (#Set.range b) := rank_span hb
+      have : Module.rank K (span K (Set.range b)) = #(Set.range b) := rank_span hb
       rwa [← lift_inj, mk_range_eq_of_injective hb.injective, Cardinal.mk_fintype, lift_natCast,
         lift_eq_nat_iff] at this)
 #align finrank_span_eq_card finrank_span_eq_card
@@ -341,7 +341,7 @@ theorem finrank_span_set_eq_card (s : Set V) [Fintype s] (hs : LinearIndependent
     finrank K (span K s) = s.toFinset.card :=
   finrank_eq_of_rank_eq
     (by
-      have : Module.rank K (span K s) = (#s) := rank_span_set hs
+      have : Module.rank K (span K s) = #s := rank_span_set hs
       rwa [Cardinal.mk_fintype, ← Set.toFinset_card] at this)
 #align finrank_span_set_eq_card finrank_span_set_eq_card
 

Now that leanprover/lean4#2210 has been merged, this PR:

• removes all the set_option synthInstance.etaExperiment true commands (and some etaExperiment% term elaborators)
• removes many but not quite all set_option maxHeartbeats commands
• makes various other changes required to cope with leanprover/lean4#2210.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Matthew Ballard <matt@mrb.email>

@@ -137,7 +137,6 @@ theorem finrank_eq_card_finset_basis {ι : Type w} {b : Finset ι} (h : Basis.{w
 
 variable (K)
 
-set_option synthInstance.etaExperiment true in
 /-- A ring satisfying `StrongRankCondition` (such as a `DivisionRing`) is one-dimensional as a
 module over itself. -/
 @[simp]
@@ -145,14 +144,12 @@ theorem finrank_self : finrank K K = 1 :=
   finrank_eq_of_rank_eq (by simp)
 #align finite_dimensional.finrank_self FiniteDimensional.finrank_self
 
-set_option synthInstance.etaExperiment true in
 /-- The vector space of functions on a `Fintype ι` has finrank equal to the cardinality of `ι`. -/
 @[simp]
 theorem finrank_fintype_fun_eq_card {ι : Type v} [Fintype ι] : finrank K (ι → K) = Fintype.card ι :=
   finrank_eq_of_rank_eq rank_fun'
 #align finite_dimensional.finrank_fintype_fun_eq_card FiniteDimensional.finrank_fintype_fun_eq_card
 
-set_option synthInstance.etaExperiment true in
 /-- The vector space of functions on `Fin n` has finrank equal to `n`. -/
 -- @[simp] -- Porting note: simp already proves this
 theorem finrank_fin_fun {n : ℕ} : finrank K (Fin n → K) = n := by simp
@@ -224,14 +221,12 @@ variable {R M M₂ : Type _} [Ring R] [AddCommGroup M] [AddCommGroup M₂]
 
 variable [Module R M] [Module R M₂]
 
-set_option synthInstance.etaExperiment true in -- Porting note: gets around lean4#2074
 /-- The dimension of a finite dimensional space is preserved under linear equivalence. -/
 theorem finrank_eq (f : M ≃ₗ[R] M₂) : finrank R M = finrank R M₂ := by
   unfold finrank
   rw [← Cardinal.toNat_lift, f.lift_rank_eq, Cardinal.toNat_lift]
 #align linear_equiv.finrank_eq LinearEquiv.finrank_eq
 
-set_option synthInstance.etaExperiment true in -- Porting note: gets around lean4#2074
 /-- Pushforwards of finite-dimensional submodules along a `LinearEquiv` have the same finrank. -/
 theorem finrank_map_eq (f : M ≃ₗ[R] M₂) (p : Submodule R M) :
     finrank R (p.map (f : M →ₗ[R] M₂)) = finrank R p :=
@@ -248,7 +243,6 @@ section Ring
 
 variable [Ring K] [AddCommGroup V] [Module K V] {V₂ : Type v'} [AddCommGroup V₂] [Module K V₂]
 
-set_option synthInstance.etaExperiment true in -- Porting note: gets around lean4#2074
 /-- The dimensions of the domain and range of an injective linear map are equal. -/
 theorem finrank_range_of_inj {f : V →ₗ[K] V₂} (hf : Function.Injective f) :
     finrank K (LinearMap.range f) = finrank K V := by rw [(LinearEquiv.ofInjective f hf).finrank_eq]
@@ -537,28 +531,24 @@ theorem Subalgebra.rank_toSubmodule (S : Subalgebra F E) :
   rfl
 #align subalgebra.rank_to_submodule Subalgebra.rank_toSubmodule
 
-set_option synthInstance.etaExperiment true in -- Porting note: gets around lean4#2074
 @[simp]
 theorem Subalgebra.finrank_toSubmodule (S : Subalgebra F E) :
     finrank F (Subalgebra.toSubmodule S) = finrank F S :=
   rfl
 #align subalgebra.finrank_to_submodule Subalgebra.finrank_toSubmodule
 
-set_option synthInstance.etaExperiment true in -- Porting note: gets around lean4#2074
 theorem subalgebra_top_rank_eq_submodule_top_rank :
     Module.rank F (⊤ : Subalgebra F E) = Module.rank F (⊤ : Submodule F E) := by
   rw [← Algebra.top_toSubmodule]
   rfl
 #align subalgebra_top_rank_eq_submodule_top_rank subalgebra_top_rank_eq_submodule_top_rank
 
-set_option synthInstance.etaExperiment true in -- Porting note: gets around lean4#2074
 theorem subalgebra_top_finrank_eq_submodule_top_finrank :
     finrank F (⊤ : Subalgebra F E) = finrank F (⊤ : Submodule F E) := by
   rw [← Algebra.top_toSubmodule]
   rfl
 #align subalgebra_top_finrank_eq_submodule_top_finrank subalgebra_top_finrank_eq_submodule_top_finrank
 
-set_option synthInstance.etaExperiment true in -- Porting note: gets around lean4#2074
 theorem Subalgebra.rank_top : Module.rank F (⊤ : Subalgebra F E) = Module.rank F E := by
   rw [subalgebra_top_rank_eq_submodule_top_rank]
   exact _root_.rank_top F E
@@ -568,7 +558,6 @@ section
 
 variable [StrongRankCondition F] [NoZeroSMulDivisors F E] [Nontrivial E]
 
-set_option synthInstance.etaExperiment true in -- Porting note: gets around lean4#2074
 @[simp]
 theorem Subalgebra.rank_bot : Module.rank F (⊥ : Subalgebra F E) = 1 :=
   ((Subalgebra.toSubmoduleEquiv (⊥ : Subalgebra F E)).symm.trans <|

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".

@@ -290,8 +290,8 @@ theorem lt_of_le_of_finrank_lt_finrank {s t : Submodule K V} (le : s ≤ t)
   lt_of_le_of_ne le fun h => ne_of_lt lt (by rw [h])
 #align submodule.lt_of_le_of_finrank_lt_finrank Submodule.lt_of_le_of_finrank_lt_finrank
 
-theorem lt_top_of_finrank_lt_finrank {s : Submodule K V} (lt : finrank K s < finrank K V) : s < ⊤ :=
-  by
+theorem lt_top_of_finrank_lt_finrank {s : Submodule K V} (lt : finrank K s < finrank K V) :
+    s < ⊤ := by
   rw [← finrank_top K V] at lt
   exact lt_of_le_of_finrank_lt_finrank le_top lt
 #align submodule.lt_top_of_finrank_lt_finrank Submodule.lt_top_of_finrank_lt_finrank

This is to fix timeouts in https://github.com/leanprover-community/mathlib4/pull/3552.

See discussion at https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/!4.233552.20.28LinearAlgebra.2EMatrix.2EToLin.29.

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

@@ -137,6 +137,7 @@ theorem finrank_eq_card_finset_basis {ι : Type w} {b : Finset ι} (h : Basis.{w
 
 variable (K)
 
+set_option synthInstance.etaExperiment true in
 /-- A ring satisfying `StrongRankCondition` (such as a `DivisionRing`) is one-dimensional as a
 module over itself. -/
 @[simp]
@@ -144,12 +145,14 @@ theorem finrank_self : finrank K K = 1 :=
   finrank_eq_of_rank_eq (by simp)
 #align finite_dimensional.finrank_self FiniteDimensional.finrank_self
 
+set_option synthInstance.etaExperiment true in
 /-- The vector space of functions on a `Fintype ι` has finrank equal to the cardinality of `ι`. -/
 @[simp]
 theorem finrank_fintype_fun_eq_card {ι : Type v} [Fintype ι] : finrank K (ι → K) = Fintype.card ι :=
   finrank_eq_of_rank_eq rank_fun'
 #align finite_dimensional.finrank_fintype_fun_eq_card FiniteDimensional.finrank_fintype_fun_eq_card
 
+set_option synthInstance.etaExperiment true in
 /-- The vector space of functions on `Fin n` has finrank equal to `n`. -/
 -- @[simp] -- Porting note: simp already proves this
 theorem finrank_fin_fun {n : ℕ} : finrank K (Fin n → K) = n := by simp

• set_theory.cardinal.basic: forward-ports leanprover-community/mathlib#18781, which backports some ad-hoc changes in #3247 in a more principled way
• ring_theory.int.basic: these changes were already forward-ported in #3278, but we forgot the SHA.
• linear_algebra.dimension: forward-ports leanprover-community/mathlib#18792
• linear_algebra.matrix.dot_product: forward-ports leanprover-community/mathlib#18783
• linear_algebra.finrank: forward-ports leanprover-community/mathlib#18794 which is itself a backport of #3378, hence no changes to the file

Co-authored-by: Parcly Taxel <reddeloostw@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Chris Hughes, Anne Baanen
 
 ! This file was ported from Lean 3 source module linear_algebra.finrank
-! leanprover-community/mathlib commit 8535b76e601f11868af3e612fbecb730998a5631
+! leanprover-community/mathlib commit 347636a7a80595d55bedf6e6fbd996a3c39da69a
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/

Co-authored-by: Parcly Taxel <reddeloostw@gmail.com> Co-authored-by: ChrisHughes24 <chrishughes24@gmail.com> Co-authored-by: Pol_tta <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: EmilieUthaiwat <emiliepathum@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Yaël Dillies <yael.dillies@gmail.com> Co-authored-by: Jireh Loreaux <loreaujy@gmail.com> Co-authored-by: Gabriel Ebner <gebner@gebner.org> Co-authored-by: Violeta Hernández <vi.hdz.p@gmail.com> Co-authored-by: Chris Hughes <chrishughes24@gmail.com> Co-authored-by: Floris van Doorn <fpvdoorn@gmail.com> Co-authored-by: Eric Rodriguez <ericrboidi@gmail.com> Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>