Theorems · Theorem · algebraic topology
IsCoveringMap.monodromy_refl
∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] {p : E → X}
(cov : IsCoveringMap p) {x : X}, cov.monodromy (Path.Homotopic.Quotient.refl x) = id- Defined in
- Mathlib.Topology.Homotopy.Lifting
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.Elemstatement and proof · cited by 7,166
- Set.preimagestatement and proof · cited by 4,946
- ContinuousMapproof · cited by 2,491
- unitIntervalproof · cited by 607
- IsCoveringMapstatement and proof · cited by 68
- IsCoveringMap.monodromystatement · cited by 27
- Path.Homotopic.Quotient.reflstatement · cited by 9
- IsCoveringMap.liftPath_constproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- IsQuotientCoveringMap.monodromy_eq_id_iffproof · cited by 3
- IsCoveringMap.existsUnique_continuousMap_lifts_of_range_leproof · cited by 0