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Theorems · Theorem · general topology

isOpenQuotientMap_fst

∀ {X : Type u} {Y : Type v} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] [Nonempty Y],
  IsOpenQuotientMap Prod.fst
Defined in
Mathlib.Topology.Constructions.SumProd
Cited by
2 results in Mathlib
Foundations
Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpaceNonempty
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

isOpenMap_prodMap_iff · cited by 0isOpenMap_prodMap_iffisQuotientMap_fst · cited by 0isQuotientMap_fstTopologicalSpace · cited by 24529TopologicalSpacecontinuous_fst · cited by 103continuous_fstIsOpenQuotientMap · cited by 65IsOpenQuotientMapProd.fst_surjective · cited by 22Prod.fst_surjectiveisOpenMap_fst · cited by 4isOpenMap_fstisOpenQuotientMap_fstCITED BYCITES

Cites5

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Cited by2

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