Theorems · Theorem · commutative algebra
MvPowerSeries.rename_comp_toMvPowerSeries
∀ {R : Type u_1} {σ : Type u_2} {τ : Type u_3} [inst : CommSemiring R] (f : σ → τ) [inst_1 : Filter.TendstoCofinite f]
(a : σ), (MvPowerSeries.rename f).comp (PowerSeries.toMvPowerSeries a) = PowerSeries.toMvPowerSeries (f a)- Defined in
- Mathlib.RingTheory.MvPowerSeries.Equiv
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
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
- CommSemiringstatement and proof · cited by 10,911
- Finsuppproof · cited by 5,255
- AlgHomstatement · cited by 3,236
- PowerSeriesstatement and proof · cited by 797
- MvPowerSeriesstatement · cited by 659
- AlgHom.compstatement · cited by 501
- MvPowerSeries.coeffproof · cited by 273
- AlgHom.extproof · cited by 170
- MvPowerSeries.extproof · cited by 58
- Filter.TendstoCofinitestatement and proof · cited by 28
- MvPowerSeries.renamestatement and proof · cited by 26
Cited by1
Results whose statement or proof uses this declaration.
- MvPowerSeries.rename_toMvPowerSeriesproof · cited by 0