Theorems · Theorem · algebraic topology
Path.Homotopic.Quotient.trans_symm
∀ {X : Type u_1} [inst : TopologicalSpace X] {x₀ x₁ : X} (γ : Path.Homotopic.Quotient x₀ x₁),
γ.trans γ.symm = Path.Homotopic.Quotient.refl x₀- Cited by
- 0 results in Mathlib
- Foundations
- Depth 135 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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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
- Path.Homotopic.Quotientstatement and proof · cited by 55
- Path.Homotopic.Quotient.transstatement · cited by 12
- Path.Homotopic.Quotient.reflstatement · cited by 9
- Path.Homotopic.Quotient.indproof · cited by 8
- Path.Homotopic.Quotient.symmstatement · cited by 5
- Path.Homotopic.trans_symmproof · cited by 1
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