Theorems · Theorem · commutative algebra
MvPowerSeries.rename_monomial
∀ {σ : Type u_1} {τ : Type u_2} {R : Type u_4} (f : σ → τ) [inst : Filter.TendstoCofinite f] [inst_1 : CommSemiring R]
(x : σ →₀ ℕ) (r : R),
(MvPowerSeries.rename f) ((MvPowerSeries.monomial x) r) = (MvPowerSeries.monomial (Finsupp.mapDomain f x)) r- Defined in
- Mathlib.RingTheory.MvPowerSeries.Rename
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Finsuppstatement and proof · cited by 5,255
- AlgHomstatement · cited by 3,236
- MvPowerSeriesstatement · cited by 659
- Finsupp.mapDomainstatement · cited by 168
- MvPowerSeries.monomialstatement · cited by 69
- Filter.TendstoCofinitestatement and proof · cited by 28
- MvPowerSeries.renamestatement · cited by 26
Cited by2
Results whose statement or proof uses this declaration.
- MvPowerSeries.rename_Cproof · cited by 2
- MvPowerSeries.rename_Xproof · cited by 2