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Theorems · Theorem · ring theory

AddMonoidAlgebra.erase_single

∀ {R : Type u_1} {M : Type u_4} [inst : Semiring R] (m : M) (r : R),
  AddMonoidAlgebra.erase m (AddMonoidAlgebra.single m r) = 0
Defined in
Mathlib.Algebra.MonoidAlgebra.Defs
Cited by
1 results in Mathlib
Foundations
Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Semiring
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Around this declaration

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

Polynomial.erase_monomial · cited by 1Polynomial.erase_monomialDFunLike.coe · cited by 62936DFunLike.coeSemiring · cited by 13802SemiringAddMonoidAlgebra · cited by 649AddMonoidAlgebraFinsupp.ext · cited by 399Finsupp.extAddMonoidAlgebra.single · cited by 250AddMonoidAlgebra.singleAddMonoidAlgebra.ext · cited by 90AddMonoidAlgebra.extAddMonoidAlgebra.erase · cited by 10AddMonoidAlgebra.eraseFinsupp.erase_single · cited by 5Finsupp.erase_singleAddMonoidAlgebra.erase_singleCITED BYCITES

Cites8

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Cited by1

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