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As Standard library has map-with-∈, probably, it also needs analogues of cong-map
(, map-compose, map-id, ... ?) for map-with-∈ for the pointwise equlaity on lists.
Say,
module _ {α α= β β=} {A : Setoid α α=} {A' : Setoid β β=} where
...
map-with-∈-cong : ∀ xs → (f g : ∀ {x} → x ∈ xs → C') →
(∀ {x} → (x∈xs : x ∈ xs) → f x∈xs ≈' g x∈xs) →
map-with-∈ xs f =p map-with-∈ xs g,
map-with-∈≗map : ∀ xs → (f : C → C') → map-with-∈ xs (\ {x} x∈xs → f x) =p map f xs
-- ?
analogues and such for `map-with-∈
The text was updated successfully, but these errors were encountered:
As Standard library has
map-with-∈
, probably, it also needs analogues of cong-map(, map-compose, map-id, ... ?) for
map-with-∈
for the pointwise equlaity on lists.Say,
-- ?
analogues and such for `map-with-∈
The text was updated successfully, but these errors were encountered: