Theorems · Theorem · algebraic topology
Path.Homotopic.Quotient.cast_rfl_rfl
∀ {X : Type u} [inst : TopologicalSpace X] {x y : X} (γ : Path.Homotopic.Quotient x y), γ.cast ⋯ ⋯ = γ- Defined in
- Mathlib.Topology.Homotopy.Path
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Pathproof · cited by 318
- Path.Homotopic.Quotientstatement and proof · cited by 55
- Path.Homotopic.Quotient.mkproof · cited by 28
- Path.Homotopic.Quotient.caststatement and proof · cited by 16
- Path.Homotopic.Quotient.indproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- IsQuotientCoveringMap.ker_monodromyPermproof · cited by 2
- FundamentalGroupoid.conj_eqToHomproof · cited by 2
- Path.Homotopic.Quotient.cast_heqproof · cited by 1