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Theorems · Theorem · ring theory

AddMonoidAlgebra.coeff_update

∀ {R : Type u_1} {M : Type u_4} [inst : Semiring R] (m : M) (r : R) (x : AddMonoidAlgebra R M),
  (AddMonoidAlgebra.update m r x).coeff = x.coeff.update m r
Defined in
Mathlib.Algebra.MonoidAlgebra.Defs
Cited by
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Foundations
Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Semiring
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Semiring · cited by 13802SemiringFinsupp · cited by 5255FinsuppAddMonoidAlgebra · cited by 649AddMonoidAlgebraAddMonoidAlgebra.coeff · cited by 365AddMonoidAlgebra.coeffFinsupp.update · cited by 52Finsupp.updateAddMonoidAlgebra.update · cited by 2AddMonoidAlgebra.updateAddMonoidAlgebra.coeff_updateCITED BYCITES

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