Theorems · Theorem · ring theory
SkewMonoidAlgebra.erase_apply_toFinsupp
Deprecated since 2026-07-04Use SkewMonoidAlgebra.coeff_erase_apply instead.
∀ {M : Type u_4} {α : Type u_5} [inst : AddCommMonoid M] (a : α) (f : SkewMonoidAlgebra M α),
((SkewMonoidAlgebra.erase a) f).coeff = Finsupp.erase a f.coeffAlias of SkewMonoidAlgebra.coeff_erase_apply.
- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Single
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddCommMonoidstatement · cited by 12,281
- Finsuppstatement · cited by 5,255
- AddMonoidHomstatement · cited by 3,230
- SkewMonoidAlgebrastatement · cited by 216
- SkewMonoidAlgebra.coeffstatement · cited by 110
- Finsupp.erasestatement · cited by 46
- SkewMonoidAlgebra.erasestatement · cited by 12
- SkewMonoidAlgebra.coeff_erase_applyproof · cited by 4
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