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
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Groupstatement and proof · cited by 6,238
- Set.ofPredproof · cited by 6,101
- Set.imageproof · cited by 5,609
- nhdsproof · cited by 5,554
- Bot.botproof · cited by 4,720
- Set.univproof · cited by 3,945
- Set.Nonemptyproof · cited by 2,627
- one_smulproof · cited by 1,374
- MulActionstatement and proof · cited by 1,294
- ContinuousConstSMulproof · cited by 832
Cited by16
Results whose statement or proof uses this declaration.
- IsQuotientCoveringMap.fundamentalGroupToMulOppositeproof · cited by 7
- IsQuotientCoveringMap.monodromy_eq_id_iffstatement and proof · cited by 3
- IsQuotientCoveringMap.monodromy_toPermFiberstatement and proof · cited by 3
- IsQuotientCoveringMap.monodromyPerm_injectivestatement and proof · cited by 2
- IsQuotientCoveringMap.monodromy_ext_iffstatement and proof · cited by 2
- IsQuotientCoveringMap.unop_fundamentalGroupToMulOpposite_smulstatement and proof · cited by 2
- IsQuotientCoveringMap.fundamentalGroupToMulOpposite_apply_eq_Iffstatement and proof · cited by 2
- IsQuotientCoveringMap.ker_fundamentalGroupToMulOppositestatement and proof · cited by 2
- IsQuotientCoveringMap.ker_monodromyPermstatement and proof · cited by 2
- IsQuotientCoveringMap.monodromy_extstatement · cited by 1
- IsQuotientCoveringMap.commute_monodromyPerm_toPermFiberstatement · cited by 1
- IsQuotientCoveringMap.fundamentalGroupToMulOpposite_eq_one_iffstatement and proof · cited by 1