Theorems · Theorem · commutative algebra
MvPowerSeries.rename_eq_subst
∀ {σ : Type u_1} {τ : Type u_2} (f : σ → τ) [inst : Filter.TendstoCofinite f] {R : Type u_6} [inst_1 : CommRing R]
(p : MvPowerSeries σ R), (MvPowerSeries.rename f) p = MvPowerSeries.subst (MvPowerSeries.X ∘ f) p- Defined in
- Mathlib.RingTheory.MvPowerSeries.Rename
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites30
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
- CommRingstatement and proof · cited by 17,173
- Finsuppproof · cited by 5,255
- Finset.sumproof · cited by 5,195
- mul_oneproof · cited by 3,885
- AlgHomstatement · cited by 3,236
- MvPowerSeriesstatement and proof · cited by 659
- Function.supportproof · cited by 610
- Set.Finite.toFinsetproof · cited by 351
- MvPowerSeries.coeffproof · cited by 273
- Finsupp.prodproof · cited by 231
- Finsupp.mapDomainproof · cited by 168
Cited by2
Results whose statement or proof uses this declaration.
- PowerSeries.toMvPowerSeries_coeff_eq_zeroproof · cited by 1
- PowerSeries.toMvPowerSeries_eq_substproof · cited by 1