@@ -558,11 +558,14 @@ theorem IsSuffix.isInfix : l₁ <:+ l₂ → l₁ <:+: l₂ := fun ⟨t, h⟩ =>
558
558
559
559
@[simp] theorem nil_infix {l : List α} : [] <:+: l := nil_prefix.isInfix
560
560
561
- @[simp] theorem prefix_refl {l : List α} : l <+: l := ⟨[], append_nil _⟩
561
+ theorem prefix_refl (l : List α) : l <+: l := ⟨[], append_nil _⟩
562
+ @[simp] theorem prefix_rfl {l : List α} : l <+: l := prefix_refl l
562
563
563
- @[simp] theorem suffix_refl {l : List α} : l <:+ l := ⟨[], rfl⟩
564
+ theorem suffix_refl (l : List α) : l <:+ l := ⟨[], rfl⟩
565
+ @[simp] theorem suffix_rfl {l : List α} : l <:+ l := suffix_refl l
564
566
565
- @[simp] theorem infix_refl {l : List α} : l <:+: l := prefix_refl.isInfix
567
+ theorem infix_refl (l : List α) : l <:+: l := prefix_rfl.isInfix
568
+ @[simp] theorem infix_rfl {l : List α} : l <:+: l := infix_refl l
566
569
567
570
@[simp] theorem suffix_cons (a : α) : ∀ l, l <:+ a :: l := suffix_append [a]
568
571
@@ -598,11 +601,11 @@ protected theorem IsSuffix.sublist (h : l₁ <:+ l₂) : l₁ <+ l₂ :=
598
601
protected theorem IsSuffix.subset (hl : l₁ <:+ l₂) : l₁ ⊆ l₂ :=
599
602
hl.sublist.subset
600
603
601
- @[simp] theorem infix_nil : l <:+: [] ↔ l = [] := ⟨(sublist_nil.1 ·.sublist), (· ▸ infix_refl )⟩
604
+ @[simp] theorem infix_nil : l <:+: [] ↔ l = [] := ⟨(sublist_nil.1 ·.sublist), (· ▸ infix_rfl )⟩
602
605
603
- @[simp] theorem prefix_nil : l <+: [] ↔ l = [] := ⟨(sublist_nil.1 ·.sublist), (· ▸ prefix_refl )⟩
606
+ @[simp] theorem prefix_nil : l <+: [] ↔ l = [] := ⟨(sublist_nil.1 ·.sublist), (· ▸ prefix_rfl )⟩
604
607
605
- @[simp] theorem suffix_nil : l <:+ [] ↔ l = [] := ⟨(sublist_nil.1 ·.sublist), (· ▸ suffix_refl )⟩
608
+ @[simp] theorem suffix_nil : l <:+ [] ↔ l = [] := ⟨(sublist_nil.1 ·.sublist), (· ▸ suffix_rfl )⟩
606
609
607
610
theorem eq_nil_of_infix_nil (h : l <:+: []) : l = [] := infix_nil.mp h
608
611
theorem eq_nil_of_prefix_nil (h : l <+: []) : l = [] := prefix_nil.mp h
0 commit comments