Project documentation
our own variant of map_congr, for filterMap -/ public theorem filterMap_congr {f g : α → Option β} : ∀ {l : List α}, (∀ x ∈ l, f x = g x) → filterMap f l = filterMap g l | [], _ => rfl | a :: l, h => by let ⟨h₁, h₂⟩ := forall_mem_cons.1 h rw [filterMap, filterMap, h₁, filterMap_congr h₂] public theorem filterMap_empty_iff_all_none {f : α → Option β} {xs :...
Exact Lean statement
public theorem mapM_forM {α β : Type} (f : α → Except β PUnit) (xs : List α) (ys : List PUnit) :
xs.mapM f = Except.ok ys → xs.forM f = Except.ok ()Formal artifact
Lean source
public theorem mapM_forM {α β : Type} (f : α → Except β PUnit) (xs : List α) (ys : List PUnit) : xs.mapM f = Except.ok ys → xs.forM f = Except.ok ():= by intro h₀ induction xs generalizing ys with | nil => simp only [forM_eq_forM, forM_nil]; rfl | cons xh xt ih => simp only [forM_eq_forM, forM_cons] cases h₁ : f xh with | error => simp only [List.mapM_cons] at h₀ rw [h₁] at h₀ simp only [Except.bind_err, reduceCtorEq] at h₀ | ok => simp only [List.mapM_cons, pure, Except.pure] at h₀ cases h₁ : f xh <;> simp only [h₁, Except.bind_err, Except.bind_ok, reduceCtorEq] at h₀ rename_i yh cases h₂ : List.mapM f xt <;> simp only [h₂, Except.bind_err, Except.bind_ok, reduceCtorEq] at h₀ rename_i yt simp only [Except.ok.injEq] at h₀ subst h₀ simp only [Except.bind_ok] apply ih yt assumption- Project
- Cedar Specification
- License
- Apache-2.0
- Commit
- 3f093947b8ae
- Source
- cedar-lean/Cedar/Thm/Data/List/Lemmas.lean:1653-1678
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Related declarations
Find? ext
Cedar.Data.Map.find?_ext
Plain-language statement
Two well-formed maps are equal if they have the same find? for every key.
Source project: Cedar Specification
Person-level attribution pending.
Find? notmem keys
Cedar.Data.Map.find?_notmem_keys
Plain-language statement
Inverse of find?_mem_toList, except that this requires wf
Source project: Cedar Specification
Person-level attribution pending.
Find? some iff in values
Cedar.Data.Map.find?_some_iff_in_values
Plain-language statement
The mp direction of this does not need the wf precondition and, in fact, is available separately as find?_some_implies_in_values above
Source project: Cedar Specification
Person-level attribution pending.