Mathlib Map

Theorems · Theorem · general topology

Filter.pure_injective

∀ {α : Type u_1}, Function.Injective pure
Defined in
Mathlib.Order.Filter.Map
Cited by
6 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext, Quot.sound
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Around this declaration

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

Filter.filter_injOn_Iic_iff_injOn · cited by 1Filter.filter_injOn_Iic_i…Ultrafilter.pure_injective · cited by 1Ultrafilter.pure_injectiveUltrafilter.eq_of_le_pure · cited by 1Ultrafilter.eq_of_le_pureCauchyFilter.isUniformEmbedding_pureCauchy · cited by 1CauchyFilter.isUniformEmb…Filter.isAddUnit_iff · cited by 0Filter.isAddUnit_iffFilter.isUnit_iff · cited by 0Filter.isUnit_iffFilter · cited by 8121FilterSet.ofPred · cited by 6101Set.ofPredFilter.ext_iff · cited by 6Filter.ext_iffFilter.pure_injectiveCITED BYCITES

Cites3

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

Cited by6

Results whose statement or proof uses this declaration.