Theorems · Theorem · commutative algebra
prodXSubSMul.smul
∀ (G : Type u_2) [inst : Group G] [inst_1 : Fintype G] (R : Type u_3) [inst_2 : CommRing R] [inst_3 : MulSemiringAction G R] (x : R) (g : G), g • prodXSubSMul G R x = prodXSubSMul G R x
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Fintypestatement and proof · cited by 7,736
- Groupstatement and proof · cited by 6,238
- Polynomialstatement and proof · cited by 5,681
- HasQuotient.Quotientproof · cited by 2,301
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- MulSemiringActionstatement and proof · cited by 423
- MulAction.stabilizerproof · cited by 254
- smul_subproof · cited by 142
- MulAction.bijectiveproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- prodXSubSMul.coeffproof · cited by 0