Theorems · Theorem · commutative algebra
MvPowerSeries.HasSubst.truncTotal
∀ {σ : Type u_1} {τ : Type u_4} {S : Type u_5} [inst : CommRing S] {a : σ → MvPowerSeries τ S} {x : σ → ℕ}
[inst_1 : Finite τ],
MvPowerSeries.HasSubst a → MvPowerSeries.HasSubst fun i => ↑((MvPowerSeries.truncTotal (x i)) (a i))- Cited by
- 3 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- MvPowerSeriesstatement and proof · cited by 659
- Set.Finite.subsetproof · cited by 285
- MvPowerSeries.coeffproof · cited by 273
- IsNilpotentproof · cited by 248
Cited by3
Results whose statement or proof uses this declaration.
- MvPowerSeries.truncTotal_subst_eq_truncTotal_sum_subst_truncTotal_of_leproof · cited by 2
- MvPowerSeries.truncTotal_subst_of_leproof · cited by 1
- MvPowerSeries.truncTotal_subst_eq_truncTotal_subst_truncTotal_of_leproof · cited by 1