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Theorems · Theorem · ring theory

MonoidAlgebra.erase_single

∀ {R : Type u_1} {M : Type u_4} [inst : Semiring R] (m : M) (r : R),
  MonoidAlgebra.erase m (MonoidAlgebra.single m r) = 0
Defined in
Mathlib.Algebra.MonoidAlgebra.Defs
Cited by
0 results in Mathlib
Foundations
Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Semiring
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DFunLike.coe · cited by 62936DFunLike.coeSemiring · cited by 13802SemiringMonoidAlgebra · cited by 590MonoidAlgebraFinsupp.ext · cited by 399Finsupp.extMonoidAlgebra.single · cited by 253MonoidAlgebra.singleMonoidAlgebra.ext · cited by 78MonoidAlgebra.extMonoidAlgebra.erase · cited by 6MonoidAlgebra.eraseFinsupp.erase_single · cited by 5Finsupp.erase_singleMonoidAlgebra.erase_singleCITED BYCITES

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