Mathlib Map

Theorems · Theorem · geometry

AffineMap.coe_id

∀ (k : Type u_1) {V1 : Type u_2} (P1 : Type u_3) [inst : Ring k] [inst_1 : AddCommGroup V1] [inst_2 : Module k V1]
  [inst_3 : AddTorsor V1 P1], ⇑(AffineMap.id k P1) = id

The identity affine map acts as the identity.

Defined in
Mathlib.LinearAlgebra.AffineSpace.AffineMap
Cited by
0 results in Mathlib
Foundations
Depth 27 from the axioms · uses Quot.sound
Assumes
RingAddCommGroupModuleAddTorsor
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

DFunLike.coe · cited by 62936DFunLike.coeModule · cited by 20661ModuleAddCommGroup · cited by 12871AddCommGroupRing · cited by 7463RingAddTorsor · cited by 1657AddTorsorAffineMap · cited by 674AffineMapAffineMap.id · cited by 16AffineMap.idAffineMap.coe_idCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.