Theorems · Theorem · geometry

AffineMap.apply_lineMap

∀ {k : Type u_1} {V1 : Type u_2} {P1 : Type u_3} {V2 : Type u_4} {P2 : Type u_5} [inst : Ring k]
  [inst_1 : AddCommGroup V1] [inst_2 : Module k V1] [inst_3 : AddTorsor V1 P1] [inst_4 : AddCommGroup V2]
  [inst_5 : Module k V2] [inst_6 : AddTorsor V2 P2] (f : P1 →ᵃ[k] P2) (p₀ p₁ : P1) (c : k),
  f ((AffineMap.lineMap p₀ p₁) c) = (AffineMap.lineMap (f p₀) (f p₁)) c

Defined in

Mathlib.LinearAlgebra.AffineSpace.AffineMap

Cited by

16 results in Mathlib

Foundations

Depth 45 from the axioms · uses propext, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsorAddCommGroupModuleAddTorsor