Mathlib Map

Theorems · Theorem · general topology

Filter.map_inj

∀ {α : Type u_1} {β : Type u_2} {f g : Filter α} {m : α → β},
  Function.Injective m → (Filter.map m f = Filter.map m g ↔ f = g)
Defined in
Mathlib.Order.Filter.Map
Cited by
2 results in Mathlib
Foundations
Depth 65 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_injective · cited by 2Filter.map_injectiveTopology.isInducing_sigmaMap · cited by 1Topology.isInducing_sigma…Filter · cited by 8121FilterFilter.map · cited by 819Filter.mapFunction.Injective.injOn · cited by 280Injective.injOnFilter.univ_mem · cited by 96Filter.univ_memFilter.map_eq_map_iff_of_injOn · cited by 2Filter.map_eq_map_iff_of_…Filter.map_injCITED BYCITES

Cites5

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Cited by2

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