Theorems · Theorem · ring theory
SkewMonoidAlgebra.coeff_erase_apply
∀ {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.coeff- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Single
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 73 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- Finsuppstatement · cited by 5,255
- AddMonoidHomstatement · cited by 3,230
- SkewMonoidAlgebrastatement and proof · cited by 216
- SkewMonoidAlgebra.coeffstatement and proof · cited by 110
- Finsupp.erasestatement · cited by 46
- SkewMonoidAlgebra.erasestatement and proof · cited by 12
Cited by4
Results whose statement or proof uses this declaration.
- SkewMonoidAlgebra.single_add_eraseproof · cited by 2
- SkewMonoidAlgebra.update_eq_erase_add_singleproof · cited by 0
- SkewMonoidAlgebra.erase_apply_toFinsuppproof · cited by 0
- SkewMonoidAlgebra.update_zero_eq_eraseproof · cited by 0