Theorems · Theorem · commutative algebra
MvPowerSeries.map_X
∀ {σ : Type u_1} {R : Type u_2} {S : Type u_3} [inst : Semiring R] [inst_1 : Semiring S] (f : R →+* S) (s : σ),
(MvPowerSeries.map f) (MvPowerSeries.X s) = MvPowerSeries.X s- Defined in
- Mathlib.RingTheory.MvPowerSeries.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
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 and proof · cited by 10,189
- Finsupp.singleproof · cited by 943
- map_oneproof · cited by 861
- MvPowerSeriesstatement · cited by 659
- MvPowerSeries.Xstatement · cited by 98
- MvPowerSeries.monomialproof · cited by 69
- MvPowerSeries.mapstatement · cited by 34
- MvPowerSeries.map_monomialproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- MvPowerSeries.map_expandproof · cited by 2