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Theorems · Theorem · commutative algebra

PowerSeries.HasSubst.X

∀ {τ : Type u_3} {S : Type u_4} [inst : CommRing S] (t : τ), PowerSeries.HasSubst (MvPowerSeries.X t)
Defined in
Mathlib.RingTheory.PowerSeries.Substitution
Cited by
5 results in Mathlib
Foundations
Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRing
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

PowerSeries.toMvPowerSeries_coeff_eq_zero · cited by 1PowerSeries.toMvPowerSeri…PowerSeries.HasSubst.X' · cited by 1HasSubst.X'PowerSeries.coeff_subst_single · cited by 1PowerSeries.coeff_subst_s…PowerSeries.subst_toMvPowerSeries · cited by 0PowerSeries.subst_toMvPow…PowerSeries.HasSubst.smul_X · cited by 0HasSubst.smul_XCommRing · cited by 17173CommRingIsNilpotent · cited by 248IsNilpotentMvPowerSeries.X · cited by 98MvPowerSeries.XPowerSeries.HasSubst · cited by 67PowerSeries.HasSubstMvPowerSeries.constantCoeff_X · cited by 16MvPowerSeries.constantCoe…HasSubst.XCITED BYCITES

Cites5

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Cited by5

Results whose statement or proof uses this declaration.