Theorems · Definition · ring theory
AddMonoidAlgebra.erase
{R : Type u_1} → {M : Type u_4} → [inst : Semiring R] → M → AddMonoidAlgebra R M → AddMonoidAlgebra R MRemove a term from an element of the additive monoid algebra.
- Defined in
- Mathlib.Algebra.MonoidAlgebra.Defs
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- AddMonoidAlgebrastatement and proof · cited by 649
- AddMonoidAlgebra.coeffproof · cited by 365
- Finsupp.eraseproof · cited by 46
Cited by10
Results whose statement or proof uses this declaration.
- Polynomial.toFinsupp_erasestatement and proof · cited by 4
- Polynomial.erase_defstatement and proof · cited by 3
- AddMonoidAlgebra.single_add_erasestatement · cited by 1
- AddMonoidAlgebra.erase_singlestatement · cited by 1
- AddMonoidAlgebra.erase_zerostatement · cited by 1
- Polynomial.erase_monomialproof · cited by 1
- AddMonoidAlgebra.ofCoeff_erasestatement · cited by 0
- AddMonoidAlgebra.erase_add_singlestatement · cited by 0
- AddMonoidAlgebra.coeff_erasestatement · cited by 0
- Polynomial.ofFinsupp_erasestatement and proof · cited by 0