Mathlib Map

Theorems · Theorem · general topology

Filter.map_eq_comap_of_inverse

∀ {α : Type u_1} {β : Type u_2} {f : Filter α} {m : α → β} {n : β → α},
  m ∘ n = id → n ∘ m = id → Filter.map m f = Filter.comap n f
Defined in
Mathlib.Order.Filter.Map
Cited by
5 results in Mathlib
Foundations
Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Filter.map_swap4_eq_comap · cited by 2Filter.map_swap4_eq_comapFilter.map_swap_eq_comap_swap · cited by 2Filter.map_swap_eq_comap_…Filter.comap_inv · cited by 2Filter.comap_invFilter.comap_neg · cited by 1Filter.comap_negFilter.comap_equiv_symm · cited by 0Filter.comap_equiv_symmFilter · cited by 8121FilterFilter.map · cited by 819Filter.mapFilter.comap · cited by 546Filter.comapFilter.map_equiv_symm · cited by 4Filter.map_equiv_symmFilter.map_eq_comap_of_inverseCITED BYCITES

Cites4

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Cited by5

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