Theorems · Theorem · commutative algebra
MvPowerSeries.HasSubst.smul_X
∀ {σ : Type u_1} {R : Type u_3} [inst : CommRing R] (a : σ → R), MvPowerSeries.HasSubst (a • MvPowerSeries.X)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Moduleproof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommMonoidproof · cited by 12,281
- Algebraproof · cited by 11,388
- CommSemiringproof · cited by 10,911
- Algebra.algebraMapproof · cited by 4,706
- IsScalarTowerproof · cited by 3,896
- MvPowerSeriesstatement and proof · cited by 659
- MvPowerSeries.Xstatement and proof · cited by 98
- MvPowerSeries.HasSubststatement and proof · cited by 74
- algebra_compatible_smulproof · cited by 7
Cited by5
Results whose statement or proof uses this declaration.
- MvPowerSeries.rescaleAlgHomproof · cited by 3
- MvPowerSeries.rescale_eq_substproof · cited by 3
- MvPowerSeries.rescaleAlgHom_applyproof · cited by 2
- MvPowerSeries.rescaleAlgHom_oneproof · cited by 0
- PowerSeries.subst_rescale_of_degree_eq_oneproof · cited by 0