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Theorems · Theorem · ring theory

MonoidAlgebra.lsingle_apply

∀ {R : Type u_1} {S : Type u_2} {M : Type u_3} [inst : Semiring S] [inst_1 : Semiring R] [inst_2 : Module R S] (a : M)
  (b : S), (MonoidAlgebra.lsingle a) b = MonoidAlgebra.single a b
Defined in
Mathlib.Algebra.MonoidAlgebra.Module
Cited by
1 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringSemiringModule
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Around this declaration

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

Representation.linearizeTrivial_def · cited by 0Representation.linearizeT…DFunLike.coe · cited by 62936DFunLike.coeModule · cited by 20661ModuleRingHom.id · cited by 18349RingHom.idSemiring · cited by 13802SemiringLinearMap · cited by 10215LinearMapMonoidAlgebra · cited by 590MonoidAlgebraMonoidAlgebra.single · cited by 253MonoidAlgebra.singleMonoidAlgebra.lsingle · cited by 25MonoidAlgebra.lsingleMonoidAlgebra.lsingle_applyCITED BYCITES

Cites8

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Cited by1

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