Theorems · Theorem · commutative algebra
MvPowerSeries.algebraMap_apply
∀ {σ : Type u_1} {R : Type u_2} {A : Type u_3} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
{r : R}, (algebraMap R (MvPowerSeries σ A)) r = MvPowerSeries.C ((algebraMap R A) r)- Defined in
- Mathlib.RingTheory.MvPowerSeries.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Algebra.algebraMapstatement and proof · cited by 4,706
- MvPowerSeriesstatement · cited by 659
- MvPowerSeries.Cstatement and proof · cited by 62
- MvPowerSeries.map_Cproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- MvPowerSeries.expand_monomialproof · cited by 1
- MvPowerSeries.subst_Cproof · cited by 1
- PowerSeries.algebraMap_applyproof · cited by 0