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Theorems · Theorem · commutative algebra

AddMonoidAlgebra.zero_divOf

∀ {k : Type u_1} {G : Type u_2} [inst : Semiring k] [inst_1 : AddCommMonoid G] [inst_2 : IsCancelAdd G] (g : G),
  AddMonoidAlgebra.divOf 0 g = 0
Defined in
Mathlib.Algebra.MonoidAlgebra.Division
Cited by
1 results in Mathlib
Foundations
Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringAddCommMonoidIsCancelAdd
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Around this declaration

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

MvPolynomial.zero_divMonomial · cited by 0MvPolynomial.zero_divMono…Semiring · cited by 13802SemiringAddCommMonoid · cited by 12281AddCommMonoidAddMonoidAlgebra · cited by 649AddMonoidAlgebraFinsupp.ext · cited by 399Finsupp.extAddMonoidAlgebra.ext · cited by 90AddMonoidAlgebra.extIsCancelAdd · cited by 79IsCancelAddAddMonoidAlgebra.divOf · cited by 17AddMonoidAlgebra.divOfAddMonoidAlgebra.zero_divOfCITED BYCITES

Cites7

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Cited by1

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