Theorems · Definition · ring theory
MonoidAlgebra.erase
{R : Type u_1} → {M : Type u_4} → [inst : Semiring R] → M → MonoidAlgebra R M → MonoidAlgebra R MRemove a term from an element of the monoid algebra.
- Defined in
- Mathlib.Algebra.MonoidAlgebra.Defs
- Cited by
- 6 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
- MonoidAlgebrastatement and proof · cited by 590
- MonoidAlgebra.coeffproof · cited by 224
- Finsupp.eraseproof · cited by 46
Cited by6
Results whose statement or proof uses this declaration.
- MonoidAlgebra.erase_add_singlestatement · cited by 0
- MonoidAlgebra.ofCoeff_erasestatement · cited by 0
- MonoidAlgebra.coeff_erasestatement · cited by 0
- MonoidAlgebra.erase_singlestatement · cited by 0
- MonoidAlgebra.erase_zerostatement · cited by 0
- MonoidAlgebra.single_add_erasestatement · cited by 0