Theorems · Theorem · commutative algebra
MvPowerSeries.HasSubst.map
∀ {σ : Type u_1} {R : Type u_3} [inst : CommRing R] {τ : Type u_4} {S : Type u_5} [inst_1 : CommRing S]
{a : σ → MvPowerSeries τ R},
MvPowerSeries.HasSubst a → ∀ (h : R →+* S), MvPowerSeries.HasSubst fun i => (MvPowerSeries.map h) (a i)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- RingHomstatement and proof · cited by 10,189
- Finsuppproof · cited by 5,255
- MvPowerSeriesstatement and proof · cited by 659
- Set.Finite.subsetproof · cited by 285
- MvPowerSeries.HasSubststatement and proof · cited by 74
- MvPowerSeries.mapstatement · cited by 34
- IsNilpotent.mapproof · cited by 12
- MvPowerSeries.HasSubst.const_coeffproof · cited by 5
- MvPowerSeries.HasSubst.coeff_zeroproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- MvPowerSeries.map_substproof · cited by 2