data.rbtree.find
⟷
Mathlib.Data.Rbtree.Find
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
@@ -51,21 +51,21 @@ theorem Std.RBNode.find?_correct {t : Std.RBNode α} {lt x} [DecidableRel lt]
apply Iff.intro
· intro hm; cases_type* or.1
· exact Iff.mp (ih hs_hs₁) hm
- · simp at h ; cases hm; contradiction
+ · simp at h; cases hm; contradiction
· have hyx : lift lt (some y) (some x) := (range hs_hs₂ hm).1
- simp [lift] at hyx
- have hxy : lt x y := by simp [cmpUsing] at h ; assumption
+ simp [lift] at hyx
+ have hxy : lt x y := by simp [cmpUsing] at h; assumption
exact absurd (trans_of lt hxy hyx) (irrefl_of lt x)
· intro hc; left; exact Iff.mpr (ih hs_hs₁) hc
- · simp at h ; simp [h, StrictWeakOrder.Equiv]
+ · simp at h; simp [h, StrictWeakOrder.Equiv]
· cases hs
apply Iff.intro
· intro hm; cases_type* or.1
· have hxy : lift lt (some x) (some y) := (range hs_hs₁ hm).2
- simp [lift] at hxy
- have hyx : lt y x := by simp [cmpUsing] at h ; exact h.2
+ simp [lift] at hxy
+ have hyx : lt y x := by simp [cmpUsing] at h; exact h.2
exact absurd (trans_of lt hxy hyx) (irrefl_of lt x)
- · simp at h ; cases hm; contradiction
+ · simp at h; cases hm; contradiction
· exact Iff.mp (ih hs_hs₂) hm
· intro hc; right; right; exact Iff.mpr (ih hs_hs₂) hc
#align rbnode.find_correct Std.RBNode.find?_correct
@@ -91,32 +91,32 @@ theorem Std.RBNode.find?_correct_exact {t : Std.RBNode α} {lt x} [DecidableRel
apply Iff.intro
· intro hm; cases_type* or.1
· exact Iff.mp (ih hs_hs₁) hm
- · simp at h ; subst x; exact absurd h (irrefl y)
+ · simp at h; subst x; exact absurd h (irrefl y)
· have hyx : lift lt (some y) (some x) := (range hs_hs₂ (mem_of_mem_exact hm)).1
- simp [lift] at hyx
- have hxy : lt x y := by simp [cmpUsing] at h ; assumption
+ simp [lift] at hyx
+ have hxy : lt x y := by simp [cmpUsing] at h; assumption
exact absurd (trans_of lt hxy hyx) (irrefl_of lt x)
· intro hc; left; exact Iff.mpr (ih hs_hs₁) hc
- · simp at h
+ · simp at h
cases hs
apply Iff.intro
· intro hm; cases_type* or.1
· have hxy : lift lt (some x) (some y) := (range hs_hs₁ (mem_of_mem_exact hm)).2
- simp [lift] at hxy
+ simp [lift] at hxy
exact absurd hxy h.1
· subst hm
· have hyx : lift lt (some y) (some x) := (range hs_hs₂ (mem_of_mem_exact hm)).1
- simp [lift] at hyx
+ simp [lift] at hyx
exact absurd hyx h.2
· intro hm; simp [*]
· cases hs
apply Iff.intro
· intro hm; cases_type* or.1
· have hxy : lift lt (some x) (some y) := (range hs_hs₁ (mem_of_mem_exact hm)).2
- simp [lift] at hxy
- have hyx : lt y x := by simp [cmpUsing] at h ; exact h.2
+ simp [lift] at hxy
+ have hyx : lt y x := by simp [cmpUsing] at h; exact h.2
exact absurd (trans_of lt hxy hyx) (irrefl_of lt x)
- · simp at h ; subst x; exact absurd h (irrefl y)
+ · simp at h; subst x; exact absurd h (irrefl y)
· exact Iff.mp (ih hs_hs₂) hm
· intro hc; right; right; exact Iff.mpr (ih hs_hs₂) hc
#align rbnode.find_correct_exact Std.RBNode.find?_correct_exact
@@ -128,7 +128,7 @@ theorem Std.RBNode.eqv_of_find?_some {t : Std.RBNode α} {lt x y} [DecidableRel
apply find.induction lt t x <;> intros <;> simp_all only [mem, find]
iterate 2
· cases hs; exact ih hs_hs₁ rfl
- · subst y; simp at h ; exact h
+ · subst y; simp at h; exact h
· cases hs; exact ih hs_hs₂ rfl
#align rbnode.eqv_of_find_some Std.RBNode.eqv_of_find?_some
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,7 +3,7 @@ Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
-import Mathbin.Data.Rbtree.Basic
+import Data.Rbtree.Basic
#align_import data.rbtree.find from "leanprover-community/mathlib"@"8f6fd1b69096c6a587f745d354306c0d46396915"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,14 +2,11 @@
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-
-! This file was ported from Lean 3 source module data.rbtree.find
-! leanprover-community/mathlib commit 8f6fd1b69096c6a587f745d354306c0d46396915
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.Data.Rbtree.Basic
+#align_import data.rbtree.find from "leanprover-community/mathlib"@"8f6fd1b69096c6a587f745d354306c0d46396915"
+
universe u
namespace Std.RBNode
mathlib commit https://github.com/leanprover-community/mathlib/commit/8b981918a93bc45a8600de608cde7944a80d92b9
@@ -12,15 +12,16 @@ import Mathbin.Data.Rbtree.Basic
universe u
-namespace Rbnode
+namespace Std.RBNode
variable {α : Type u}
@[elab_without_expected_type]
-theorem find.induction {p : Rbnode α → Prop} (lt) [DecidableRel lt] (t x) (h₁ : p leaf)
- (h₂ : ∀ (l y r) (h : cmpUsing lt x y = Ordering.lt) (ih : p l), p (red_node l y r))
- (h₃ : ∀ (l y r) (h : cmpUsing lt x y = Ordering.eq), p (red_node l y r))
- (h₄ : ∀ (l y r) (h : cmpUsing lt x y = Ordering.gt) (ih : p r), p (red_node l y r))
+theorem Std.RBNode.find?.induction {p : Std.RBNode α → Prop} (lt) [DecidableRel lt] (t x)
+ (h₁ : p Std.RBNode.nil)
+ (h₂ : ∀ (l y r) (h : cmpUsing lt x y = Ordering.lt) (ih : p l), p (Std.RBNode.node l y r))
+ (h₃ : ∀ (l y r) (h : cmpUsing lt x y = Ordering.eq), p (Std.RBNode.node l y r))
+ (h₄ : ∀ (l y r) (h : cmpUsing lt x y = Ordering.gt) (ih : p r), p (Std.RBNode.node l y r))
(h₅ : ∀ (l y r) (h : cmpUsing lt x y = Ordering.lt) (ih : p l), p (black_node l y r))
(h₆ : ∀ (l y r) (h : cmpUsing lt x y = Ordering.eq), p (black_node l y r))
(h₇ : ∀ (l y r) (h : cmpUsing lt x y = Ordering.gt) (ih : p r), p (black_node l y r)) : p t :=
@@ -37,10 +38,12 @@ theorem find.induction {p : Rbnode α → Prop} (lt) [DecidableRel lt] (t x) (h
case lt => apply h₅; assumption; assumption
case eq => apply h₆; assumption
case gt => apply h₇; assumption; assumption
-#align rbnode.find.induction Rbnode.find.induction
+#align rbnode.find.induction Std.RBNode.find?.induction
-theorem find_correct {t : Rbnode α} {lt x} [DecidableRel lt] [IsStrictWeakOrder α lt] :
- ∀ {lo hi} (hs : IsSearchable lt t lo hi), Mem lt x t ↔ ∃ y, find lt t x = some y ∧ x ≈[lt]y :=
+theorem Std.RBNode.find?_correct {t : Std.RBNode α} {lt x} [DecidableRel lt]
+ [IsStrictWeakOrder α lt] :
+ ∀ {lo hi} (hs : Std.RBNode.IsSearchable lt t lo hi),
+ Std.RBNode.Mem lt x t ↔ ∃ y, Std.RBNode.find? lt t x = some y ∧ x ≈[lt]y :=
by
apply find.induction lt t x <;> intros <;> simp only [mem, find, *]
· simp
@@ -68,18 +71,21 @@ theorem find_correct {t : Rbnode α} {lt x} [DecidableRel lt] [IsStrictWeakOrder
· simp at h ; cases hm; contradiction
· exact Iff.mp (ih hs_hs₂) hm
· intro hc; right; right; exact Iff.mpr (ih hs_hs₂) hc
-#align rbnode.find_correct Rbnode.find_correct
+#align rbnode.find_correct Std.RBNode.find?_correct
-theorem mem_of_memExact {lt} [IsIrrefl α lt] {x t} : MemExact x t → Mem lt x t :=
+theorem Std.RBNode.mem_of_memExact {lt} [IsIrrefl α lt] {x t} :
+ Std.RBNode.MemExact x t → Std.RBNode.Mem lt x t :=
by
induction t <;> simp [mem_exact, mem, false_imp_iff] <;> intro h
all_goals
cases_type* or.1; simp [t_ih_lchild h]; simp [h, irrefl_of lt t_val]
simp [t_ih_rchild h]
-#align rbnode.mem_of_mem_exact Rbnode.mem_of_memExact
+#align rbnode.mem_of_mem_exact Std.RBNode.mem_of_memExact
-theorem find_correct_exact {t : Rbnode α} {lt x} [DecidableRel lt] [IsStrictWeakOrder α lt] :
- ∀ {lo hi} (hs : IsSearchable lt t lo hi), MemExact x t ↔ find lt t x = some x :=
+theorem Std.RBNode.find?_correct_exact {t : Std.RBNode α} {lt x} [DecidableRel lt]
+ [IsStrictWeakOrder α lt] :
+ ∀ {lo hi} (hs : Std.RBNode.IsSearchable lt t lo hi),
+ Std.RBNode.MemExact x t ↔ Std.RBNode.find? lt t x = some x :=
by
apply find.induction lt t x <;> intros <;> simp only [mem_exact, find, *]
iterate 2
@@ -116,20 +122,23 @@ theorem find_correct_exact {t : Rbnode α} {lt x} [DecidableRel lt] [IsStrictWea
· simp at h ; subst x; exact absurd h (irrefl y)
· exact Iff.mp (ih hs_hs₂) hm
· intro hc; right; right; exact Iff.mpr (ih hs_hs₂) hc
-#align rbnode.find_correct_exact Rbnode.find_correct_exact
+#align rbnode.find_correct_exact Std.RBNode.find?_correct_exact
-theorem eqv_of_find_some {t : Rbnode α} {lt x y} [DecidableRel lt] :
- ∀ {lo hi} (hs : IsSearchable lt t lo hi) (he : find lt t x = some y), x ≈[lt]y :=
+theorem Std.RBNode.eqv_of_find?_some {t : Std.RBNode α} {lt x y} [DecidableRel lt] :
+ ∀ {lo hi} (hs : Std.RBNode.IsSearchable lt t lo hi) (he : Std.RBNode.find? lt t x = some y),
+ x ≈[lt]y :=
by
apply find.induction lt t x <;> intros <;> simp_all only [mem, find]
iterate 2
· cases hs; exact ih hs_hs₁ rfl
· subst y; simp at h ; exact h
· cases hs; exact ih hs_hs₂ rfl
-#align rbnode.eqv_of_find_some Rbnode.eqv_of_find_some
+#align rbnode.eqv_of_find_some Std.RBNode.eqv_of_find?_some
-theorem find_eq_find_of_eqv {lt a b} [DecidableRel lt] [IsStrictWeakOrder α lt] {t : Rbnode α} :
- ∀ {lo hi} (hs : IsSearchable lt t lo hi) (heqv : a ≈[lt]b), find lt t a = find lt t b :=
+theorem Std.RBNode.find?_eq_find?_of_eqv {lt a b} [DecidableRel lt] [IsStrictWeakOrder α lt]
+ {t : Std.RBNode α} :
+ ∀ {lo hi} (hs : Std.RBNode.IsSearchable lt t lo hi) (heqv : a ≈[lt]b),
+ Std.RBNode.find? lt t a = Std.RBNode.find? lt t b :=
by
apply find.induction lt t a <;> intros <;>
simp_all [mem, find, StrictWeakOrder.Equiv, true_imp_iff]
@@ -141,7 +150,7 @@ theorem find_eq_find_of_eqv {lt a b} [DecidableRel lt] [IsStrictWeakOrder α lt]
· have := lt_of_lt_of_incomp h heqv
have := not_lt_of_lt this
simp [cmpUsing, find, *]; cases hs; apply ih hs_hs₂
-#align rbnode.find_eq_find_of_eqv Rbnode.find_eq_find_of_eqv
+#align rbnode.find_eq_find_of_eqv Std.RBNode.find?_eq_find?_of_eqv
-end Rbnode
+end Std.RBNode
mathlib commit https://github.com/leanprover-community/mathlib/commit/5f25c089cb34db4db112556f23c50d12da81b297
@@ -49,7 +49,7 @@ theorem find_correct {t : Rbnode α} {lt x} [DecidableRel lt] [IsStrictWeakOrder
-- red and black cases are identical
· cases hs
apply Iff.intro
- · intro hm; cases_type*or.1
+ · intro hm; cases_type* or.1
· exact Iff.mp (ih hs_hs₁) hm
· simp at h ; cases hm; contradiction
· have hyx : lift lt (some y) (some x) := (range hs_hs₂ hm).1
@@ -60,7 +60,7 @@ theorem find_correct {t : Rbnode α} {lt x} [DecidableRel lt] [IsStrictWeakOrder
· simp at h ; simp [h, StrictWeakOrder.Equiv]
· cases hs
apply Iff.intro
- · intro hm; cases_type*or.1
+ · intro hm; cases_type* or.1
· have hxy : lift lt (some x) (some y) := (range hs_hs₁ hm).2
simp [lift] at hxy
have hyx : lt y x := by simp [cmpUsing] at h ; exact h.2
@@ -74,7 +74,7 @@ theorem mem_of_memExact {lt} [IsIrrefl α lt] {x t} : MemExact x t → Mem lt x
by
induction t <;> simp [mem_exact, mem, false_imp_iff] <;> intro h
all_goals
- cases_type*or.1; simp [t_ih_lchild h]; simp [h, irrefl_of lt t_val]
+ cases_type* or.1; simp [t_ih_lchild h]; simp [h, irrefl_of lt t_val]
simp [t_ih_rchild h]
#align rbnode.mem_of_mem_exact Rbnode.mem_of_memExact
@@ -86,7 +86,7 @@ theorem find_correct_exact {t : Rbnode α} {lt x} [DecidableRel lt] [IsStrictWea
· cases hs
apply Iff.intro
- · intro hm; cases_type*or.1
+ · intro hm; cases_type* or.1
· exact Iff.mp (ih hs_hs₁) hm
· simp at h ; subst x; exact absurd h (irrefl y)
· have hyx : lift lt (some y) (some x) := (range hs_hs₂ (mem_of_mem_exact hm)).1
@@ -97,7 +97,7 @@ theorem find_correct_exact {t : Rbnode α} {lt x} [DecidableRel lt] [IsStrictWea
· simp at h
cases hs
apply Iff.intro
- · intro hm; cases_type*or.1
+ · intro hm; cases_type* or.1
· have hxy : lift lt (some x) (some y) := (range hs_hs₁ (mem_of_mem_exact hm)).2
simp [lift] at hxy
exact absurd hxy h.1
@@ -108,7 +108,7 @@ theorem find_correct_exact {t : Rbnode α} {lt x} [DecidableRel lt] [IsStrictWea
· intro hm; simp [*]
· cases hs
apply Iff.intro
- · intro hm; cases_type*or.1
+ · intro hm; cases_type* or.1
· have hxy : lift lt (some x) (some y) := (range hs_hs₁ (mem_of_mem_exact hm)).2
simp [lift] at hxy
have hyx : lt y x := by simp [cmpUsing] at h ; exact h.2
mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb
@@ -51,21 +51,21 @@ theorem find_correct {t : Rbnode α} {lt x} [DecidableRel lt] [IsStrictWeakOrder
apply Iff.intro
· intro hm; cases_type*or.1
· exact Iff.mp (ih hs_hs₁) hm
- · simp at h; cases hm; contradiction
+ · simp at h ; cases hm; contradiction
· have hyx : lift lt (some y) (some x) := (range hs_hs₂ hm).1
- simp [lift] at hyx
- have hxy : lt x y := by simp [cmpUsing] at h; assumption
+ simp [lift] at hyx
+ have hxy : lt x y := by simp [cmpUsing] at h ; assumption
exact absurd (trans_of lt hxy hyx) (irrefl_of lt x)
· intro hc; left; exact Iff.mpr (ih hs_hs₁) hc
- · simp at h; simp [h, StrictWeakOrder.Equiv]
+ · simp at h ; simp [h, StrictWeakOrder.Equiv]
· cases hs
apply Iff.intro
· intro hm; cases_type*or.1
· have hxy : lift lt (some x) (some y) := (range hs_hs₁ hm).2
- simp [lift] at hxy
- have hyx : lt y x := by simp [cmpUsing] at h; exact h.2
+ simp [lift] at hxy
+ have hyx : lt y x := by simp [cmpUsing] at h ; exact h.2
exact absurd (trans_of lt hxy hyx) (irrefl_of lt x)
- · simp at h; cases hm; contradiction
+ · simp at h ; cases hm; contradiction
· exact Iff.mp (ih hs_hs₂) hm
· intro hc; right; right; exact Iff.mpr (ih hs_hs₂) hc
#align rbnode.find_correct Rbnode.find_correct
@@ -88,32 +88,32 @@ theorem find_correct_exact {t : Rbnode α} {lt x} [DecidableRel lt] [IsStrictWea
apply Iff.intro
· intro hm; cases_type*or.1
· exact Iff.mp (ih hs_hs₁) hm
- · simp at h; subst x; exact absurd h (irrefl y)
+ · simp at h ; subst x; exact absurd h (irrefl y)
· have hyx : lift lt (some y) (some x) := (range hs_hs₂ (mem_of_mem_exact hm)).1
- simp [lift] at hyx
- have hxy : lt x y := by simp [cmpUsing] at h; assumption
+ simp [lift] at hyx
+ have hxy : lt x y := by simp [cmpUsing] at h ; assumption
exact absurd (trans_of lt hxy hyx) (irrefl_of lt x)
· intro hc; left; exact Iff.mpr (ih hs_hs₁) hc
- · simp at h
+ · simp at h
cases hs
apply Iff.intro
· intro hm; cases_type*or.1
· have hxy : lift lt (some x) (some y) := (range hs_hs₁ (mem_of_mem_exact hm)).2
- simp [lift] at hxy
+ simp [lift] at hxy
exact absurd hxy h.1
· subst hm
· have hyx : lift lt (some y) (some x) := (range hs_hs₂ (mem_of_mem_exact hm)).1
- simp [lift] at hyx
+ simp [lift] at hyx
exact absurd hyx h.2
· intro hm; simp [*]
· cases hs
apply Iff.intro
· intro hm; cases_type*or.1
· have hxy : lift lt (some x) (some y) := (range hs_hs₁ (mem_of_mem_exact hm)).2
- simp [lift] at hxy
- have hyx : lt y x := by simp [cmpUsing] at h; exact h.2
+ simp [lift] at hxy
+ have hyx : lt y x := by simp [cmpUsing] at h ; exact h.2
exact absurd (trans_of lt hxy hyx) (irrefl_of lt x)
- · simp at h; subst x; exact absurd h (irrefl y)
+ · simp at h ; subst x; exact absurd h (irrefl y)
· exact Iff.mp (ih hs_hs₂) hm
· intro hc; right; right; exact Iff.mpr (ih hs_hs₂) hc
#align rbnode.find_correct_exact Rbnode.find_correct_exact
@@ -124,7 +124,7 @@ theorem eqv_of_find_some {t : Rbnode α} {lt x y} [DecidableRel lt] :
apply find.induction lt t x <;> intros <;> simp_all only [mem, find]
iterate 2
· cases hs; exact ih hs_hs₁ rfl
- · subst y; simp at h; exact h
+ · subst y; simp at h ; exact h
· cases hs; exact ih hs_hs₂ rfl
#align rbnode.eqv_of_find_some Rbnode.eqv_of_find_some
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -49,41 +49,25 @@ theorem find_correct {t : Rbnode α} {lt x} [DecidableRel lt] [IsStrictWeakOrder
-- red and black cases are identical
· cases hs
apply Iff.intro
- · intro hm
- cases_type*or.1
+ · intro hm; cases_type*or.1
· exact Iff.mp (ih hs_hs₁) hm
- · simp at h
- cases hm
- contradiction
+ · simp at h; cases hm; contradiction
· have hyx : lift lt (some y) (some x) := (range hs_hs₂ hm).1
simp [lift] at hyx
- have hxy : lt x y := by
- simp [cmpUsing] at h
- assumption
+ have hxy : lt x y := by simp [cmpUsing] at h; assumption
exact absurd (trans_of lt hxy hyx) (irrefl_of lt x)
- · intro hc
- left
- exact Iff.mpr (ih hs_hs₁) hc
- · simp at h
- simp [h, StrictWeakOrder.Equiv]
+ · intro hc; left; exact Iff.mpr (ih hs_hs₁) hc
+ · simp at h; simp [h, StrictWeakOrder.Equiv]
· cases hs
apply Iff.intro
- · intro hm
- cases_type*or.1
+ · intro hm; cases_type*or.1
· have hxy : lift lt (some x) (some y) := (range hs_hs₁ hm).2
simp [lift] at hxy
- have hyx : lt y x := by
- simp [cmpUsing] at h
- exact h.2
+ have hyx : lt y x := by simp [cmpUsing] at h; exact h.2
exact absurd (trans_of lt hxy hyx) (irrefl_of lt x)
- · simp at h
- cases hm
- contradiction
+ · simp at h; cases hm; contradiction
· exact Iff.mp (ih hs_hs₂) hm
- · intro hc
- right
- right
- exact Iff.mpr (ih hs_hs₂) hc
+ · intro hc; right; right; exact Iff.mpr (ih hs_hs₂) hc
#align rbnode.find_correct Rbnode.find_correct
theorem mem_of_memExact {lt} [IsIrrefl α lt] {x t} : MemExact x t → Mem lt x t :=
@@ -102,26 +86,18 @@ theorem find_correct_exact {t : Rbnode α} {lt x} [DecidableRel lt] [IsStrictWea
· cases hs
apply Iff.intro
- · intro hm
- cases_type*or.1
+ · intro hm; cases_type*or.1
· exact Iff.mp (ih hs_hs₁) hm
- · simp at h
- subst x
- exact absurd h (irrefl y)
+ · simp at h; subst x; exact absurd h (irrefl y)
· have hyx : lift lt (some y) (some x) := (range hs_hs₂ (mem_of_mem_exact hm)).1
simp [lift] at hyx
- have hxy : lt x y := by
- simp [cmpUsing] at h
- assumption
+ have hxy : lt x y := by simp [cmpUsing] at h; assumption
exact absurd (trans_of lt hxy hyx) (irrefl_of lt x)
- · intro hc
- left
- exact Iff.mpr (ih hs_hs₁) hc
+ · intro hc; left; exact Iff.mpr (ih hs_hs₁) hc
· simp at h
cases hs
apply Iff.intro
- · intro hm
- cases_type*or.1
+ · intro hm; cases_type*or.1
· have hxy : lift lt (some x) (some y) := (range hs_hs₁ (mem_of_mem_exact hm)).2
simp [lift] at hxy
exact absurd hxy h.1
@@ -129,41 +105,27 @@ theorem find_correct_exact {t : Rbnode α} {lt x} [DecidableRel lt] [IsStrictWea
· have hyx : lift lt (some y) (some x) := (range hs_hs₂ (mem_of_mem_exact hm)).1
simp [lift] at hyx
exact absurd hyx h.2
- · intro hm
- simp [*]
+ · intro hm; simp [*]
· cases hs
apply Iff.intro
- · intro hm
- cases_type*or.1
+ · intro hm; cases_type*or.1
· have hxy : lift lt (some x) (some y) := (range hs_hs₁ (mem_of_mem_exact hm)).2
simp [lift] at hxy
- have hyx : lt y x := by
- simp [cmpUsing] at h
- exact h.2
+ have hyx : lt y x := by simp [cmpUsing] at h; exact h.2
exact absurd (trans_of lt hxy hyx) (irrefl_of lt x)
- · simp at h
- subst x
- exact absurd h (irrefl y)
+ · simp at h; subst x; exact absurd h (irrefl y)
· exact Iff.mp (ih hs_hs₂) hm
- · intro hc
- right
- right
- exact Iff.mpr (ih hs_hs₂) hc
+ · intro hc; right; right; exact Iff.mpr (ih hs_hs₂) hc
#align rbnode.find_correct_exact Rbnode.find_correct_exact
theorem eqv_of_find_some {t : Rbnode α} {lt x y} [DecidableRel lt] :
∀ {lo hi} (hs : IsSearchable lt t lo hi) (he : find lt t x = some y), x ≈[lt]y :=
by
apply find.induction lt t x <;> intros <;> simp_all only [mem, find]
- iterate 2
-
- · cases hs
- exact ih hs_hs₁ rfl
- · subst y
- simp at h
- exact h
- · cases hs
- exact ih hs_hs₂ rfl
+ iterate 2
+ · cases hs; exact ih hs_hs₁ rfl
+ · subst y; simp at h; exact h
+ · cases hs; exact ih hs_hs₂ rfl
#align rbnode.eqv_of_find_some Rbnode.eqv_of_find_some
theorem find_eq_find_of_eqv {lt a b} [DecidableRel lt] [IsStrictWeakOrder α lt] {t : Rbnode α} :
@@ -174,16 +136,11 @@ theorem find_eq_find_of_eqv {lt a b} [DecidableRel lt] [IsStrictWeakOrder α lt]
iterate 2
· have : lt b y := lt_of_incomp_of_lt heqv.swap h
- simp [cmpUsing, find, *]
- cases hs
- apply ih hs_hs₁
- · have := incomp_trans_of lt heqv.swap h
- simp [cmpUsing, find, *]
+ simp [cmpUsing, find, *]; cases hs; apply ih hs_hs₁
+ · have := incomp_trans_of lt heqv.swap h; simp [cmpUsing, find, *]
· have := lt_of_lt_of_incomp h heqv
have := not_lt_of_lt this
- simp [cmpUsing, find, *]
- cases hs
- apply ih hs_hs₂
+ simp [cmpUsing, find, *]; cases hs; apply ih hs_hs₂
#align rbnode.find_eq_find_of_eqv Rbnode.find_eq_find_of_eqv
end Rbnode
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
@@ -3,12 +3,13 @@ Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
+import Mathlib.Mathport.Rename
+
+#align_import data.rbtree.find from "leanprover-community/mathlib"@"8f6fd1b69096c6a587f745d354306c0d46396915"
/-!
# Porting note: essentially already ported to std4
-#align_import data.rbtree.find from "leanprover-community/mathlib"@"8f6fd1b69096c6a587f745d354306c0d46396915"
-
https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Mathlib4.20porting.20meeting.20series/near/369848971
-/
@@ -2,16 +2,13 @@
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-
-! This file was ported from Lean 3 source module data.rbtree.find
-! leanprover-community/mathlib commit 8f6fd1b69096c6a587f745d354306c0d46396915
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
/-!
# Porting note: essentially already ported to std4
+#align_import data.rbtree.find from "leanprover-community/mathlib"@"8f6fd1b69096c6a587f745d354306c0d46396915"
+
https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Mathlib4.20porting.20meeting.20series/near/369848971
-/
All dependencies are ported!