chore: fix implicitness in refl/rfl lemma binders (#5077)
This commit is contained in:
parent
eb15c08ea0
commit
b939fef2cf
1 changed files with 9 additions and 6 deletions
|
|
@ -558,11 +558,14 @@ theorem IsSuffix.isInfix : l₁ <:+ l₂ → l₁ <:+: l₂ := fun ⟨t, h⟩ =>
|
|||
|
||||
@[simp] theorem nil_infix {l : List α} : [] <:+: l := nil_prefix.isInfix
|
||||
|
||||
@[simp] theorem prefix_refl {l : List α} : l <+: l := ⟨[], append_nil _⟩
|
||||
theorem prefix_refl (l : List α) : l <+: l := ⟨[], append_nil _⟩
|
||||
@[simp] theorem prefix_rfl {l : List α} : l <+: l := prefix_refl l
|
||||
|
||||
@[simp] theorem suffix_refl {l : List α} : l <:+ l := ⟨[], rfl⟩
|
||||
theorem suffix_refl (l : List α) : l <:+ l := ⟨[], rfl⟩
|
||||
@[simp] theorem suffix_rfl {l : List α} : l <:+ l := suffix_refl l
|
||||
|
||||
@[simp] theorem infix_refl {l : List α} : l <:+: l := prefix_refl.isInfix
|
||||
theorem infix_refl (l : List α) : l <:+: l := prefix_rfl.isInfix
|
||||
@[simp] theorem infix_rfl {l : List α} : l <:+: l := infix_refl l
|
||||
|
||||
@[simp] theorem suffix_cons (a : α) : ∀ l, l <:+ a :: l := suffix_append [a]
|
||||
|
||||
|
|
@ -598,11 +601,11 @@ protected theorem IsSuffix.sublist (h : l₁ <:+ l₂) : l₁ <+ l₂ :=
|
|||
protected theorem IsSuffix.subset (hl : l₁ <:+ l₂) : l₁ ⊆ l₂ :=
|
||||
hl.sublist.subset
|
||||
|
||||
@[simp] theorem infix_nil : l <:+: [] ↔ l = [] := ⟨(sublist_nil.1 ·.sublist), (· ▸ infix_refl)⟩
|
||||
@[simp] theorem infix_nil : l <:+: [] ↔ l = [] := ⟨(sublist_nil.1 ·.sublist), (· ▸ infix_rfl)⟩
|
||||
|
||||
@[simp] theorem prefix_nil : l <+: [] ↔ l = [] := ⟨(sublist_nil.1 ·.sublist), (· ▸ prefix_refl)⟩
|
||||
@[simp] theorem prefix_nil : l <+: [] ↔ l = [] := ⟨(sublist_nil.1 ·.sublist), (· ▸ prefix_rfl)⟩
|
||||
|
||||
@[simp] theorem suffix_nil : l <:+ [] ↔ l = [] := ⟨(sublist_nil.1 ·.sublist), (· ▸ suffix_refl)⟩
|
||||
@[simp] theorem suffix_nil : l <:+ [] ↔ l = [] := ⟨(sublist_nil.1 ·.sublist), (· ▸ suffix_rfl)⟩
|
||||
|
||||
theorem eq_nil_of_infix_nil (h : l <:+: []) : l = [] := infix_nil.mp h
|
||||
theorem eq_nil_of_prefix_nil (h : l <+: []) : l = [] := prefix_nil.mp h
|
||||
|
|
|
|||
Loading…
Add table
Reference in a new issue