Theorems · Theorem · field theory

affineHomeomorph_apply

∀ {𝕜 : Type u_2} [inst : Field 𝕜] [inst_1 : TopologicalSpace 𝕜] [inst_2 : IsTopologicalRing 𝕜] (a b : 𝕜) (h : a ≠ 0)
  (x : 𝕜), (affineHomeomorph a b h) x = a * x + b

Defined in

Mathlib.Topology.Algebra.Field

Cited by

5 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldTopologicalSpaceIsTopologicalRing