Theorems · Theorem · algebraic topology
homotopic_of_indiscrete
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] [IndiscreteTopology Y]
(f g : C(X, Y)), f.Homotopic g- Defined in
- Mathlib.Topology.Homotopy.Contractible
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Set.Elemproof · cited by 7,166
- ContinuousMapstatement and proof · cited by 2,491
- unitIntervalproof · cited by 607
- IndiscreteTopologystatement and proof · cited by 43
- ContinuousMap.Homotopicstatement · cited by 24
- continuous_of_indiscreteTopologyproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- nullhomotopic_of_indiscreteproof · cited by 0