Theorems · Theorem · algebraic topology
ContinuousMap.Homotopy.curry_zero
∀ {X : Type u} {Y : Type v} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f₀ f₁ : C(X, Y)}
(F : f₀.Homotopy f₁), F.curry 0 = f₀- Defined in
- Mathlib.Topology.Homotopy.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 120 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.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Set.Elemstatement · cited by 7,166
- ContinuousMapstatement and proof · cited by 2,491
- unitIntervalstatement · cited by 607
- ContinuousMap.extproof · cited by 92
- ContinuousMap.Homotopystatement and proof · cited by 65
- ContinuousMap.Homotopy.currystatement · cited by 11
- ContinuousMap.Homotopy.apply_zeroproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- ContinuousMap.Homotopy.extend_zeroproof · cited by 0
- Path.Homotopy.eval_zeroproof · cited by 0