Theorems · Theorem · commutative algebra
MvPowerSeries.map_algebraMap_eq_subst_X
∀ {σ : Type u_1} {R : Type u_3} [inst : CommRing R] {S : Type u_5} [inst_1 : CommRing S] [inst_2 : Algebra R S]
(f : MvPowerSeries σ R), (MvPowerSeries.map (algebraMap R S)) f = MvPowerSeries.subst MvPowerSeries.X f- Cited by
- 1 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.
Cites24
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
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- Finsuppproof · cited by 5,255
- Algebra.algebraMapstatement and proof · cited by 4,706
- mul_oneproof · cited by 3,885
- smul_zeroproof · cited by 665
- MvPowerSeriesstatement and proof · cited by 659
- smul_eq_mulproof · cited by 357
- MvPowerSeries.coeffproof · cited by 273
- Finsupp.prodproof · cited by 231
Cited by1
Results whose statement or proof uses this declaration.
- PowerSeries.map_algebraMap_eq_subst_Xproof · cited by 1