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Theorems · Theorem · commutative algebra

PowerSeries.substAlgHom.congr_simp

∀ {R : Type u_2} [inst : CommRing R] {τ : Type u_3} {S : Type u_4} [inst_1 : CommRing S] [inst_2 : Algebra R S]
  {a a_1 : MvPowerSeries τ S} (e_a : a = a_1) (ha : PowerSeries.HasSubst a),
  PowerSeries.substAlgHom ha = PowerSeries.substAlgHom ⋯
Defined in
Mathlib.RingTheory.PowerSeries.Substitution
Cited by
1 results in Mathlib
Foundations
Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingCommRingAlgebra
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Around this declaration

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PowerSeries.subst_comp_subst · cited by 1PowerSeries.subst_comp_su…CommRing · cited by 17173CommRingAlgebra · cited by 11388AlgebraAlgHom · cited by 3236AlgHomPowerSeries · cited by 797PowerSeriesMvPowerSeries · cited by 659MvPowerSeriesPowerSeries.HasSubst · cited by 67PowerSeries.HasSubstPowerSeries.substAlgHom · cited by 16PowerSeries.substAlgHomsubstAlgHom.congr_simpCITED BYCITES

Cites7

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Cited by1

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