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Theorems · Theorem · commutative algebra

HahnSeries.SummableFamily.powers.congr_simp

∀ {Γ : Type u_1} {R : Type u_3} [inst : AddCommMonoid Γ] [inst_1 : LinearOrder Γ] [inst_2 : IsOrderedCancelAddMonoid Γ]
  [inst_3 : CommRing R] (x x_1 : HahnSeries Γ R),
  x = x_1 → HahnSeries.SummableFamily.powers x = HahnSeries.SummableFamily.powers x_1
Defined in
Mathlib.RingTheory.HahnSeries.Summable
Cited by
1 results in Mathlib
Foundations
Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoidLinearOrderIsOrderedCancelAddMonoidCommRing
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Around this declaration

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

HahnSeries.inv_single · cited by 3HahnSeries.inv_singleCommRing · cited by 17173CommRingAddCommMonoid · cited by 12281AddCommMonoidLinearOrder · cited by 8572LinearOrderHahnSeries · cited by 528HahnSeriesIsOrderedCancelAddMonoid · cited by 359IsOrderedCancelAddMonoidHahnSeries.SummableFamily · cited by 88HahnSeries.SummableFamilyHahnSeries.SummableFamily.powers · cited by 27SummableFamily.powerspowers.congr_simpCITED BYCITES

Cites7

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Cited by1

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