Theorems · Definition · linear algebra

AlternatingMap.constOfIsEmpty

(R : Type u_1) →
  [inst : Semiring R] →
    (M : Type u_2) →
      [inst_1 : AddCommMonoid M] →
        [inst_2 : Module R M] →
          {N : Type u_3} →
            [inst_3 : AddCommMonoid N] → [inst_4 : Module R N] → (ι : Type u_7) → [IsEmpty ι] → N → M [⋀^ι]→ₗ[R] N

The constant map is alternating when ι is empty.

Defined in

Mathlib.LinearAlgebra.Alternating.Basic

Cited by

13 results in Mathlib

Foundations

Depth 11 from the axioms · uses no axioms

Assumes

SemiringAddCommMonoidModuleAddCommMonoidModuleIsEmpty