Theorems · Theorem · algebraic topology
Path.Homotopic.prod_projLeft_projRight
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {a₁ a₂ : α} {b₁ b₂ : β}
(p : Path.Homotopic.Quotient (a₁, b₁) (a₂, b₂)),
Path.Homotopic.prod (Path.Homotopic.projLeft p) (Path.Homotopic.projRight 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
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Cites12
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- TopologicalSpacestatement and proof · cited by 24,529
- Pathproof · cited by 318
- continuous_fstproof · cited by 103
- continuous_sndproof · cited by 91
- 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.Homotopic.Quotient.indproof · cited by 8
- Path.Homotopic.prodstatement and proof · cited by 6
- Path.Homotopic.projLeftstatement · cited by 3
- Path.Homotopic.projRightstatement · cited by 3
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