Theorems · Theorem · algebraic topology

Path.Homotopic.Quotient.map_cast

∀ {X : Type u} {Y : Type v} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {x y : X}
  (p : Path.Homotopic.Quotient x y) {x' y' : X} {hx : x' = x} {hy : y' = y} {f : C(X, Y)},
  (p.cast hx hy).map f = (p.map f).cast ⋯ ⋯

Defined in

Mathlib.Topology.Homotopy.Path

Cited by

1 results in Mathlib

Foundations

Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace