Theorems · Theorem · commutative algebra
PowerSeries.map_algebraMap_eq_subst_X
∀ {R : Type u_2} [inst : CommRing R] {S : Type u_4} [inst_1 : CommRing S] [inst_2 : Algebra R S] (f : PowerSeries R),
(PowerSeries.map (algebraMap R S)) f = PowerSeries.subst PowerSeries.X f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 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 · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- Algebra.algebraMapstatement · cited by 4,706
- PowerSeriesstatement and proof · cited by 797
- PowerSeries.Xstatement · cited by 183
- PowerSeries.mapstatement · cited by 82
- PowerSeries.subststatement · cited by 58
- MvPowerSeries.map_algebraMap_eq_subst_Xproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- PowerSeries.X_substproof · cited by 2