Theorems · Theorem · algebraic topology
Path.Homotopic.Quotient.cast_heq
∀ {X : Type u} [inst : TopologicalSpace X] {x y x' y' : X} (hx : x' = x) (hy : y' = y)
{γ : Path.Homotopic.Quotient x y}, γ.cast hx hy ≍ γ- Defined in
- Mathlib.Topology.Homotopy.Path
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 135 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.
Cites4
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
- Path.Homotopic.Quotientstatement and proof · cited by 55
- Path.Homotopic.Quotient.caststatement · cited by 16
- Path.Homotopic.Quotient.cast_rfl_rflproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- IsCoveringMap.monodromy_eq_of_map_eqproof · cited by 3