Theorems · Theorem · algebraic topology
IsCoveringMap.monodromy_bijective
∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] {p : E → X}
(cov : IsCoveringMap p) {x y : X} (γ : Path.Homotopic.Quotient x y), Function.Bijective (cov.monodromy γ)- Defined in
- Mathlib.Topology.Homotopy.Lifting
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 137 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.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- CategoryTheory.Functor.mapproof · cited by 8,698
- Set.Elemstatement · cited by 7,166
- Set.preimagestatement · cited by 4,946
- Function.Bijectivestatement · cited by 863
- IsCoveringMapstatement and proof · cited by 68
- Path.Homotopic.Quotientstatement and proof · cited by 55
- IsCoveringMap.monodromystatement · cited by 27
- CategoryTheory.isIso_iff_bijectiveproof · cited by 16
- IsCoveringMap.monodromyFunctorproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- IsCoveringMap.existsUnique_continuousMap_lifts_of_range_leproof · cited by 0