Theorems · Theorem · algebraic topology
Path.Homotopic.pi_proj
∀ {ι : Type u_1} {X : ι → Type u_2} [inst : (i : ι) → TopologicalSpace (X i)] {as bs : (i : ι) → X i}
(p : Path.Homotopic.Quotient as bs), (Path.Homotopic.pi fun i => Path.Homotopic.proj i p) = p- Defined in
- Mathlib.Topology.Homotopy.Product
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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Cites11
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
- Pathproof · cited by 318
- continuous_applyproof · cited by 120
- ContinuousMap.continuousproof · cited by 74
- Path.Homotopic.Quotientstatement and proof · cited by 55
- Path.Homotopic.Quotient.mkproof · cited by 28
- Path.mapproof · cited by 21
- Path.piproof · cited by 8
- Path.Homotopic.pistatement · cited by 5
- Path.Homotopic.pi_liftproof · cited by 3
- Path.Homotopic.projstatement · cited by 3
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