Theorems · Theorem · ring theory
MonoidAlgebra.coeff_erase
∀ {R : Type u_1} {M : Type u_4} [inst : Semiring R] (m : M) (x : MonoidAlgebra R M),
(MonoidAlgebra.erase m x).coeff = Finsupp.erase m x.coeff- Defined in
- Mathlib.Algebra.MonoidAlgebra.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Finsuppstatement · cited by 5,255
- MonoidAlgebrastatement and proof · cited by 590
- MonoidAlgebra.coeffstatement · cited by 224
- Finsupp.erasestatement · cited by 46
- MonoidAlgebra.erasestatement · cited by 6
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