Theorems · Theorem · algebraic topology
ContinuousMap.Homotopy.curry_apply
∀ {X : Type u} {Y : Type v} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f₀ f₁ : C(X, Y)}
(F : f₀.Homotopy f₁) (t : ↑unitInterval) (x : X), (F.curry t) x = F (t, x)- Defined in
- Mathlib.Topology.Homotopy.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Set.Elemstatement and proof · cited by 7,166
- ContinuousMapstatement and proof · cited by 2,491
- unitIntervalstatement and proof · cited by 607
- ContinuousMap.Homotopystatement and proof · cited by 65
- ContinuousMap.Homotopy.currystatement · cited by 11
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