Theorems · Theorem · algebraic topology
ContinuousMap.Homotopy.extend_one
∀ {X : Type u} {Y : Type v} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f₀ f₁ : C(X, Y)}
(F : f₀.Homotopy f₁), F.extend 1 = f₁- Defined in
- Mathlib.Topology.Homotopy.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- ContinuousMapstatement and proof · cited by 2,491
- ContinuousMap.Homotopystatement and proof · cited by 65
- ContinuousMap.Homotopy.extendstatement · cited by 14
- ContinuousMap.Homotopy.extend_of_mem_Iproof · cited by 4
- ContinuousMap.Homotopy.curry_oneproof · cited by 2
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