Mathlib Map

Theorems · Definition · geometry

AffineMap.const

(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] → P2 → P1 →ᵃ[k] P2

The constant function as an AffineMap.

Defined in
Mathlib.LinearAlgebra.AffineSpace.AffineMap
Cited by
14 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Quot.sound
Assumes
RingAddCommGroupModuleAddTorsorAddCommGroupModuleAddTorsor

Around this declaration

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

Cites5

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

  • 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 · cited by 674

Cited by19

Results whose statement or proof uses this declaration.