Theorems · Theorem · algebraic topology
nullhomotopic_of_indiscrete
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] [Nonempty Y]
[IndiscreteTopology Y] (f : C(X, Y)), f.Nullhomotopic- Defined in
- Mathlib.Topology.Homotopy.Contractible
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- ContinuousMapstatement and proof · cited by 2,491
- ContinuousMap.constproof · cited by 45
- IndiscreteTopologystatement and proof · cited by 43
- ContinuousMap.Nullhomotopicstatement · cited by 6
- homotopic_of_indiscreteproof · cited by 1
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