Theorems · Theorem · algebraic topology
IsAddQuotientCoveringMap.toMultiplicative
∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] (f : E → X) (G : Type u_4)
[inst_2 : AddGroup G] [inst_3 : AddAction G E],
IsAddQuotientCoveringMap f G → IsQuotientCoveringMap f (Multiplicative G)- Defined in
- Mathlib.Topology.Covering.Quotient
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.imageproof · cited by 5,609
- nhdsproof · cited by 5,554
- AddGroupstatement and proof · cited by 4,410
- Equiv.symmproof · cited by 3,681
- Set.Nonemptyproof · cited by 2,627
- HVAdd.hVAddproof · cited by 1,820
- Multiplicativestatement and proof · cited by 875
- AddActionstatement and proof · cited by 820
- Set.image_congrproof · cited by 533
Cited by14
Results whose statement or proof uses this declaration.
- IsAddQuotientCoveringMap.fundamentalGroupToMulOppositeproof · cited by 6
- IsAddQuotientCoveringMap.monodromy_ext_iffproof · cited by 1
- IsAddQuotientCoveringMap.commute_monodromyPerm_toPermFiberstatement and proof · cited by 0
- IsAddQuotientCoveringMap.fundamentalGroupEquivproof · cited by 0
- IsAddQuotientCoveringMap.fundamentalGroupToMulOpposite_apply_eq_Iffproof · cited by 0
- IsAddQuotientCoveringMap.fundamentalGroupToMulOpposite_eq_one_iffproof · cited by 0
- IsAddQuotientCoveringMap.fundamentalGroupToMulOpposite_injectiveproof · cited by 0
- IsAddQuotientCoveringMap.fundamentalGroupToMulOpposite_surjectiveproof · cited by 0
- IsAddQuotientCoveringMap.ker_fundamentalGroupToMulOppositeproof · cited by 0
- IsAddQuotientCoveringMap.ker_monodromyPermproof · cited by 0
- IsAddQuotientCoveringMap.monodromyPerm_injectiveproof · cited by 0
- IsAddQuotientCoveringMap.monodromy_eq_id_iffproof · cited by 0