Theorems · Theorem · algebraic topology
IsQuotientCoveringMap.fiberEquivGroup_self
∀ {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] (hf : IsQuotientCoveringMap f G) {x : X} (e : ↑(f ⁻¹' {x})),
(hf.fiberEquivGroup e) e = 1- Defined in
- Mathlib.Topology.Covering.Quotient
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Equivstatement · cited by 8,337
- Set.Elemstatement and proof · cited by 7,166
- Groupstatement and proof · cited by 6,238
- Set.preimagestatement and proof · cited by 4,946
- one_smulproof · cited by 1,374
- MulActionstatement and proof · cited by 1,294
- Equiv.eq_symm_applyproof · cited by 85
- IsQuotientCoveringMapstatement and proof · cited by 53
- IsQuotientCoveringMap.fiberEquivGroupstatement and proof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- IsQuotientCoveringMap.fundamentalGroupToMulOpposite_eq_one_iffproof · cited by 1