Mathlib Map

Theorems · Theorem · geometry

AffineMap.id_apply

∀ (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] (p : P1), (AffineMap.id k P1) p = p

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

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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.id_applyCITED BYCITES

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