Theorems · Theorem · ring theory
SkewMonoidAlgebra.support_erase
∀ {M : Type u_4} {α : Type u_5} [inst : AddCommMonoid M] (a : α) (f : SkewMonoidAlgebra M α) [inst_1 : DecidableEq α],
((SkewMonoidAlgebra.erase a) f).support = f.support.erase a- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Single
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoidDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Finsetstatement · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- AddMonoidHomstatement · cited by 3,230
- Finset.extproof · cited by 565
- Finset.erasestatement · cited by 455
- SkewMonoidAlgebrastatement and proof · cited by 216
- SkewMonoidAlgebra.coeffproof · cited by 110
- Finsupp.eraseproof · cited by 46
- SkewMonoidAlgebra.supportstatement · cited by 45
- SkewMonoidAlgebra.erasestatement · cited by 12
- Finsupp.support_eraseproof · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- SkewMonoidAlgebra.inductionproof · cited by 1
- SkewPolynomial.support_eraseproof · cited by 1