Theorems · Theorem · algebraic topology
IsCoveringMap.isSeparatedMap
∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] {f : E → X},
IsCoveringMap f → IsSeparatedMap f- Defined in
- Mathlib.Topology.Covering.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Set.Elemproof · cited by 7,166
- Set.ofPredproof · cited by 6,101
- Set.preimageproof · cited by 4,946
- PartialEquiv.sourceproof · cited by 964
- PartialHomeomorph.toPartialEquivproof · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphproof · cited by 851
- OpenPartialHomeomorph.toFun'proof · cited by 745
- DiscreteTopologyproof · cited by 373
- Bundle.Trivializationproof · cited by 324
- Bundle.Trivialization.baseSetproof · cited by 268
- Bundle.Trivialization.toOpenPartialHomeomorphproof · cited by 148
Cited by4
Results whose statement or proof uses this declaration.
- IsCoveringMap.eq_of_comp_eqproof · cited by 1
- IsCoveringMap.constOn_of_compproof · cited by 0
- IsCoveringMap.const_of_compproof · cited by 0
- IsCoveringMap.eqOn_of_comp_eqOnproof · cited by 0