Theorems · Theorem · algebraic topology

Bundle.Trivialization.coordChange_apply_snd

∀ {B : Type u_1} {F : Type u_2} {Z : Type u_4} [inst : TopologicalSpace B] [inst_1 : TopologicalSpace F] {proj : Z → B}
  [inst_2 : TopologicalSpace Z] (e₁ e₂ : Bundle.Trivialization F proj) {p : Z},
  proj p ∈ e₁.baseSet → e₁.coordChange e₂ (proj p) (↑e₁ p).2 = (↑e₂ p).2

Defined in

Mathlib.Topology.FiberBundle.Trivialization

Cited by

2 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpace