Theorems · Theorem · geometry

AffineEquiv.coe_trans_to_affineMap

∀ {k : Type u_1} {P₁ : Type u_2} {P₂ : Type u_3} {P₃ : Type u_4} {V₁ : Type u_6} {V₂ : Type u_7} {V₃ : Type u_8}
  [inst : Ring k] [inst_1 : AddCommGroup V₁] [inst_2 : AddCommGroup V₂] [inst_3 : AddCommGroup V₃]
  [inst_4 : Module k V₁] [inst_5 : Module k V₂] [inst_6 : Module k V₃] [inst_7 : AddTorsor V₁ P₁]
  [inst_8 : AddTorsor V₂ P₂] [inst_9 : AddTorsor V₃ P₃] (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃),
  ↑(e.trans e') = (↑e').comp ↑e

Defined in

Mathlib.LinearAlgebra.AffineSpace.AffineEquiv

Cited by

2 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Quot.sound

Assumes

RingAddCommGroupAddCommGroupAddCommGroupModuleModuleModuleAddTorsorAddTorsorAddTorsor