Theorems · Theorem · geometry

AffineMap.lineMap_vsub

∀ {k : Type u_1} {P₁ : Type u_2} {V₁ : Type u_6} [inst : Ring k] [inst_1 : AddCommGroup V₁] [inst_2 : Module k V₁]
  [inst_3 : AddTorsor V₁ P₁] (p₁ p₂ p₃ : P₁) (c : k),
  (AffineMap.lineMap p₁ p₂) c -ᵥ p₃ = (AffineMap.lineMap (p₁ -ᵥ p₃) (p₂ -ᵥ p₃)) c

Defined in

Mathlib.LinearAlgebra.AffineSpace.AffineEquiv

Cited by

0 results in Mathlib

Foundations

Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsor