Theorems · Theorem · geometry

AffineMap.toFun_eq_coe

∀ {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), f.toFun = ⇑f

toFun is the same as the result of coercing to a function.

Defined in: Mathlib.LinearAlgebra.AffineSpace.AffineMap
Cited by: 1 results in Mathlib
Foundations: Depth 27 from the axioms · uses Quot.sound
Assumes: Ring AddCommGroup Module AddTorsor AddCommGroup Module AddTorsor

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DFunLike.coestatement · cited by 62,936
Modulestatement and proof · cited by 20,661
AddCommGroupstatement and proof · cited by 12,871
Ringstatement and proof · cited by 7,463
AddTorsorstatement and proof · cited by 1,657
AffineMapstatement and proof · cited by 674
AffineMap.toFunstatement · cited by 15

Cited by1

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AffineMap.ext_linearproof · cited by 2