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Theorems · Theorem · algebraic topology

IsQuotientCoveringMap.isCoveringMap

∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] (f : E → X) (G : Type u_3)
  [inst_2 : Group G] [inst_3 : MulAction G E], IsQuotientCoveringMap f G → IsCoveringMap f
Defined in
Mathlib.Topology.Covering.Quotient
Cited by
15 results in Mathlib
Foundations
Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpaceGroupMulAction

Around this declaration

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

IsQuotientCoveringMap.fundamentalGroupToMulOpposite · cited by 7IsQuotientCoveringMap.fun…IsQuotientCoveringMap.monodromy_eq_id_iff · cited by 3IsQuotientCoveringMap.mon…IsQuotientCoveringMap.monodromy_toPermFiber · cited by 3IsQuotientCoveringMap.mon…IsQuotientCoveringMap.monodromyPerm_injective · cited by 2IsQuotientCoveringMap.mon…IsQuotientCoveringMap.monodromy_ext_iff · cited by 2IsQuotientCoveringMap.mon…IsQuotientCoveringMap.unop_fundamentalGroupToMulOpposite_smul · cited by 2IsQuotientCoveringMap.uno…IsQuotientCoveringMap.fundamentalGroupToMulOpposite_apply_eq_Iff · cited by 2IsQuotientCoveringMap.fun…IsQuotientCoveringMap.ker_fundamentalGroupToMulOpposite · cited by 2IsQuotientCoveringMap.ker…IsQuotientCoveringMap.ker_monodromyPerm · cited by 2IsQuotientCoveringMap.ker…IsQuotientCoveringMap.monodromy_ext · cited by 1IsQuotientCoveringMap.mon…IsQuotientCoveringMap.commute_monodromyPerm_toPermFiber · cited by 1IsQuotientCoveringMap.com…IsQuotientCoveringMap.fundamentalGroupToMulOpposite_eq_one_iff · cited by 1IsQuotientCoveringMap.fun…IsQuotientCoveringMap.fundamentalGroupToMulOpposite_injective · cited by 1IsQuotientCoveringMap.fun…IsQuotientCoveringMap.fundamentalGroupToMulOpposite_surjective · cited by 1IsQuotientCoveringMap.fun…isQuotientCoveringMap_iff_isCoveringMap_and · cited by 0isQuotientCoveringMap_iff…Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceGroup · cited by 6238GroupSet.ofPred · cited by 6101Set.ofPredSet.image · cited by 5609Set.imagenhds · cited by 5554nhdsBot.bot · cited by 4720Bot.botSet.univ · cited by 3945Set.univSet.Nonempty · cited by 2627Set.Nonemptyone_smul · cited by 1374one_smulMulAction · cited by 1294MulActionContinuousConstSMul · cited by 832ContinuousConstSMulMulAction.stabilizer · cited by 254MulAction.stabilizermem_of_mem_nhds · cited by 126mem_of_mem_nhdsSet.eq_univ_of_forall · cited by 80Set.eq_univ_of_forallIsQuotientCoveringMap.isCover…CITED BYCITES

Cites26

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

Cited by16

Results whose statement or proof uses this declaration.