Theorems · Theorem · linear algebra

MultilinearMap.currySum_smul

∀ {R : Type uR} {ι : Type uι} {ι' : Type uι'} {M₂ : Type v₂} [inst : CommSemiring R] [inst_1 : AddCommMonoid M₂]
  [inst_2 : Module R M₂] {N : ι ⊕ ι' → Type u_1} [inst_3 : (i : ι ⊕ ι') → AddCommMonoid (N i)]
  [inst_4 : (i : ι ⊕ ι') → Module R (N i)] (r : R) (f : MultilinearMap R N M₂), (r • f).currySum = r • f.currySum

Defined in: Mathlib.LinearAlgebra.Multilinear.Curry
Cited by: 0 results in Mathlib
Foundations: Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommSemiring AddCommMonoid Module AddCommMonoid Module

Mathlib docs Source Loogle LeanSearch

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
AddCommMonoidstatement and proof · cited by 12,281
CommSemiringstatement and proof · cited by 10,911
MultilinearMapstatement and proof · cited by 370
MultilinearMap.currySumstatement · cited by 10

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.