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Theorems · Theorem · commutative algebra

HahnSeries.SummableFamily.mul.congr_simp

∀ {Γ : Type u_1} {R : Type u_3} {α : Type u_5} {β : Type u_6} [inst : AddCommMonoid Γ] [inst_1 : PartialOrder Γ]
  [inst_2 : IsOrderedCancelAddMonoid Γ] [inst_3 : Semiring R] (s s_1 : HahnSeries.SummableFamily Γ R α),
  s = s_1 → ∀ (t t_1 : HahnSeries.SummableFamily Γ R β), t = t_1 → s.mul t = s_1.mul t_1
Defined in
Mathlib.RingTheory.HahnSeries.Summable
Cited by
1 results in Mathlib
Foundations
Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoidPartialOrderIsOrderedCancelAddMonoidSemiring
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Around this declaration

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HahnSeries.SummableFamily.hsum_powerSeriesFamily_mul · cited by 1SummableFamily.hsum_power…Semiring · cited by 13802SemiringAddCommMonoid · cited by 12281AddCommMonoidPartialOrder · cited by 6410PartialOrderIsOrderedCancelAddMonoid · cited by 359IsOrderedCancelAddMonoidHahnSeries.SummableFamily · cited by 88HahnSeries.SummableFamilyHahnSeries.SummableFamily.mul · cited by 7SummableFamily.mulmul.congr_simpCITED BYCITES

Cites6

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Cited by1

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