Theorems · Theorem · ring theory
SkewMonoidAlgebra.mem_support_iff
∀ {k : Type u_1} {G : Type u_2} [inst : AddMonoid k] {f : SkewMonoidAlgebra k G} {a : G}, a ∈ f.support ↔ f.coeff a ≠ 0- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddMonoid
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 and proof · cited by 62,936
- Finsetstatement · cited by 13,712
- Finsuppstatement and proof · cited by 5,255
- AddMonoidstatement and proof · cited by 2,864
- SkewMonoidAlgebrastatement and proof · cited by 216
- SkewMonoidAlgebra.coeffstatement · cited by 110
- SkewMonoidAlgebra.supportstatement · cited by 45
- SkewMonoidAlgebra.support_ofCoeffproof · cited by 4
- SkewMonoidAlgebra.casesOnproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- SkewMonoidAlgebra.support_mul_single_eq_imageproof · cited by 1
- SkewMonoidAlgebra.support_single_mul_eq_imageproof · cited by 1