Theorems · Theorem · commutative algebra
MvPowerSeries.smul_eq_C_mul
∀ {σ : Type u_1} {R : Type u_2} [inst : Semiring R] (f : MvPowerSeries σ R) (a : R), a • f = MvPowerSeries.C a * f- Defined in
- Mathlib.RingTheory.MvPowerSeries.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Finsuppproof · cited by 5,255
- MvPowerSeriesstatement and proof · cited by 659
- map_smulproof · cited by 566
- MvPowerSeries.coeffproof · cited by 273
- MvPowerSeries.Cstatement · cited by 62
- MvPowerSeries.extproof · cited by 58
- MvPowerSeries.coeff_C_mulproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- MvPowerSeries.monomial_eq'proof · cited by 2
- MvPowerSeries.prod_smul_X_eq_smul_monomial_oneproof · cited by 2
- MvPowerSeries.smul_invproof · cited by 1
- MvPowerSeries.expand_Cproof · cited by 0