Theorems · Theorem · algebraic topology
IsCoveringMap.homeomorph_comp_iff
∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] {f : E → X} {Y : Type u_3}
[inst_2 : TopologicalSpace Y] (g : X ≃ₜ Y), IsCoveringMap (⇑g ∘ f) ↔ IsCoveringMap f- Defined in
- Mathlib.Topology.Covering.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Homeomorphstatement and proof · cited by 725
- Homeomorph.symmproof · cited by 365
- IsCoveringMapstatement and proof · cited by 68
- Homeomorph.symm_apply_applyproof · cited by 18
- IsCoveringMap.homeomorph_compproof · cited by 1
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