data.list.sections
⟷
Mathlib.Data.List.Sections
The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.
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(last sync)
mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83
@@ -29,7 +29,7 @@ theorem mem_sections {L : List (List α)} {f} : f ∈ sections L ↔ Forall₂ (
by
refine' ⟨fun h => _, fun h => _⟩
· induction L generalizing f; · cases mem_singleton.1 h; exact forall₂.nil
- simp only [sections, bind_eq_bind, mem_bind, mem_map] at h
+ simp only [sections, bind_eq_bind, mem_bind, mem_map] at h
rcases h with ⟨_, _, _, _, rfl⟩
simp only [*, forall₂_cons, true_and_iff]
· induction' h with a l f L al fL fs; · exact Or.inl rfl
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,7 +3,7 @@ Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
-import Mathbin.Data.List.Forall2
+import Data.List.Forall2
#align_import data.list.sections from "leanprover-community/mathlib"@"10708587e81b68c763fcdb7505f279d52e569768"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,14 +2,11 @@
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-
-! This file was ported from Lean 3 source module data.list.sections
-! leanprover-community/mathlib commit 10708587e81b68c763fcdb7505f279d52e569768
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.Data.List.Forall2
+#align_import data.list.sections from "leanprover-community/mathlib"@"10708587e81b68c763fcdb7505f279d52e569768"
+
/-!
# List sections
mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423
@@ -47,12 +47,14 @@ theorem mem_sections_length {L : List (List α)} {f} (h : f ∈ sections L) : le
#align list.mem_sections_length List.mem_sections_length
-/
+#print List.rel_sections /-
theorem rel_sections {r : α → β → Prop} :
(Forall₂ (Forall₂ r) ⇒ Forall₂ (Forall₂ r)) sections sections
| _, _, forall₂.nil => Forall₂.cons Forall₂.nil Forall₂.nil
| _, _, forall₂.cons h₀ h₁ =>
rel_bind (rel_sections h₁) fun _ _ hl => rel_map (fun _ _ ha => Forall₂.cons ha hl) h₀
#align list.rel_sections List.rel_sections
+-/
end List
mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb
@@ -32,7 +32,7 @@ theorem mem_sections {L : List (List α)} {f} : f ∈ sections L ↔ Forall₂ (
by
refine' ⟨fun h => _, fun h => _⟩
· induction L generalizing f; · cases mem_singleton.1 h; exact forall₂.nil
- simp only [sections, bind_eq_bind, mem_bind, mem_map] at h
+ simp only [sections, bind_eq_bind, mem_bind, mem_map] at h
rcases h with ⟨_, _, _, _, rfl⟩
simp only [*, forall₂_cons, true_and_iff]
· induction' h with a l f L al fL fs; · exact Or.inl rfl
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -47,12 +47,6 @@ theorem mem_sections_length {L : List (List α)} {f} (h : f ∈ sections L) : le
#align list.mem_sections_length List.mem_sections_length
-/
-/- warning: list.rel_sections -> List.rel_sections is a dubious translation:
-lean 3 declaration is
- forall {α : Type.{u1}} {β : Type.{u2}} {r : α -> β -> Prop}, Relator.LiftFun.{succ u1, succ u2, succ u1, succ u2} (List.{u1} (List.{u1} α)) (List.{u2} (List.{u2} β)) (List.{u1} (List.{u1} α)) (List.{u2} (List.{u2} β)) (List.Forall₂.{u1, u2} (List.{u1} α) (List.{u2} β) (List.Forall₂.{u1, u2} α β r)) (List.Forall₂.{u1, u2} (List.{u1} α) (List.{u2} β) (List.Forall₂.{u1, u2} α β r)) (List.sections.{u1} α) (List.sections.{u2} β)
-but is expected to have type
- forall {α : Type.{u2}} {β : Type.{u1}} {r : α -> β -> Prop}, Relator.LiftFun.{succ u2, succ u1, succ u2, succ u1} (List.{u2} (List.{u2} α)) (List.{u1} (List.{u1} β)) (List.{u2} (List.{u2} α)) (List.{u1} (List.{u1} β)) (List.Forall₂.{u2, u1} (List.{u2} α) (List.{u1} β) (List.Forall₂.{u2, u1} α β r)) (List.Forall₂.{u2, u1} (List.{u2} α) (List.{u1} β) (List.Forall₂.{u2, u1} α β r)) (List.sections.{u2} α) (List.sections.{u1} β)
-Case conversion may be inaccurate. Consider using '#align list.rel_sections List.rel_sectionsₓ'. -/
theorem rel_sections {r : α → β → Prop} :
(Forall₂ (Forall₂ r) ⇒ Forall₂ (Forall₂ r)) sections sections
| _, _, forall₂.nil => Forall₂.cons Forall₂.nil Forall₂.nil
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -31,14 +31,11 @@ variable {α β : Type _}
theorem mem_sections {L : List (List α)} {f} : f ∈ sections L ↔ Forall₂ (· ∈ ·) f L :=
by
refine' ⟨fun h => _, fun h => _⟩
- · induction L generalizing f
- · cases mem_singleton.1 h
- exact forall₂.nil
+ · induction L generalizing f; · cases mem_singleton.1 h; exact forall₂.nil
simp only [sections, bind_eq_bind, mem_bind, mem_map] at h
rcases h with ⟨_, _, _, _, rfl⟩
simp only [*, forall₂_cons, true_and_iff]
- · induction' h with a l f L al fL fs
- · exact Or.inl rfl
+ · induction' h with a l f L al fL fs; · exact Or.inl rfl
simp only [sections, bind_eq_bind, mem_bind, mem_map]
exact ⟨_, fs, _, al, rfl, rfl⟩
#align list.mem_sections List.mem_sections
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
Type _
and Sort _
(#6499)
We remove all possible occurences of Type _
and Sort _
in favor of Type*
and Sort*
.
This has nice performance benefits.
@@ -18,7 +18,7 @@ open Nat Function
namespace List
-variable {α β : Type _}
+variable {α β : Type*}
theorem mem_sections {L : List (List α)} {f} : f ∈ sections L ↔ Forall₂ (· ∈ ·) f L := by
refine' ⟨fun h => _, fun h => _⟩
@@ -2,13 +2,10 @@
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-
-! This file was ported from Lean 3 source module data.list.sections
-! leanprover-community/mathlib commit 26f081a2fb920140ed5bc5cc5344e84bcc7cb2b2
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.Data.List.Forall2
+
+#align_import data.list.sections from "leanprover-community/mathlib"@"26f081a2fb920140ed5bc5cc5344e84bcc7cb2b2"
/-!
# List sections
Notably incorporates https://github.com/leanprover/std4/pull/98 and https://github.com/leanprover/std4/pull/109.
https://github.com/leanprover/std4/pull/98 moves a number of lemmas from Mathlib to Std, so the bump requires deleting them in Mathlib. I did check on each lemma whether its attributes were kept in the move (and gave attribute markings in Mathlib if they were not present in Std), but a reviewer may wish to re-check.
List.mem_map
changed statement from b ∈ l.map f ↔ ∃ a, a ∈ l ∧ b = f a
to b ∈ l.map f ↔ ∃ a, a ∈ l ∧ f a = b
. Similarly for List.exists_of_mem_map
. This was a deliberate change, so I have simply adjusted proofs (many become simpler, which supports the change). I also deleted List.mem_map'
, List.exists_of_mem_map'
, which were temporary versions in Mathlib while waiting for this change (replacing their uses with the unprimed versions).
Also, the lemma sublist_nil_iff_eq_nil
seems to have been renamed to sublist_nil
during the move, so I added an alias for the old name.
(another issue fixed during review by @digama0) List.Sublist.filter
had an argument change from explicit to implicit. This appears to have been an oversight (cc @JamesGallicchio). I have temporarily introduced List.Sublist.filter'
with the argument explicit, and replaced Mathlib uses of Sublist.filter
with Sublist.filter'
. Later we can fix the argument in Std, and then delete List.Sublist.filter'
.
@@ -34,9 +34,7 @@ theorem mem_sections {L : List (List α)} {f} : f ∈ sections L ↔ Forall₂ (
· induction' h with a l f L al fL fs
· simp only [sections, mem_singleton]
simp only [sections, bind_eq_bind, mem_bind, mem_map]
- use f
- simp only [cons.injEq, and_true, exists_eq_right']
- exact ⟨fs, al⟩
+ exact ⟨f, fs, a, al, rfl⟩
#align list.mem_sections List.mem_sections
theorem mem_sections_length {L : List (List α)} {f} (h : f ∈ sections L) : length f = length L :=