Mathlib Map

Theorems · Theorem · general topology

Filter.map_injective

∀ {α : Type u_1} {β : Type u_2} {m : α → β}, Function.Injective m → Function.Injective (Filter.map m)
Defined in
Mathlib.Order.Filter.Map
Cited by
2 results in Mathlib
Foundations
Depth 66 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_equiv_symm · cited by 4Filter.map_equiv_symmisDiscrete_iff_nhdsWithin · cited by 2isDiscrete_iff_nhdsWithinFilter · cited by 8121FilterFilter.map · cited by 819Filter.mapFilter.map_inj · cited by 2Filter.map_injFilter.map_injectiveCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.