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Theorems · Theorem · commutative algebra

MvPowerSeries.subst_self

∀ {σ : Type u_1} {R : Type u_3} [inst : CommRing R], MvPowerSeries.subst MvPowerSeries.X = id
Defined in
Mathlib.RingTheory.MvPowerSeries.Substitution
Cited by
2 results in Mathlib
Foundations
Depth 108 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.

MvPowerSeries.expand_one · cited by 3MvPowerSeries.expand_oneMvPowerSeries.rescaleAlgHom_one · cited by 0MvPowerSeries.rescaleAlgH…CommRing · cited by 17173CommRingBot.bot · cited by 4720Bot.botUniformSpace · cited by 2040UniformSpaceMvPowerSeries · cited by 659MvPowerSeriesAlgHom.id · cited by 196AlgHom.idcontinuous_id · cited by 192continuous_idDFunLike.ext_iff · cited by 102DFunLike.ext_iffMvPowerSeries.X · cited by 98MvPowerSeries.XMvPowerSeries.subst · cited by 73MvPowerSeries.substMvPowerSeries.aeval · cited by 18MvPowerSeries.aevalMvPowerSeries.coe_substAlgHom · cited by 15MvPowerSeries.coe_substAl…MvPowerSeries.HasEval.map · cited by 9HasEval.mapMvPowerSeries.substAlgHom_eq_aeval · cited by 6MvPowerSeries.substAlgHom…MvPowerSeries.HasEval.X · cited by 4HasEval.XMvPowerSeries.HasSubst.X · cited by 4HasSubst.XMvPowerSeries.subst_selfCITED BYCITES

Cites16

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.