Theorems · Theorem · commutative algebra
HahnSeries.SummableFamily.powerSeriesFamily.congr_simp
∀ {Γ : Type u_1} {R : Type u_3} {V : Type u_4} [inst : AddCommMonoid Γ] [inst_1 : LinearOrder Γ]
[inst_2 : IsOrderedCancelAddMonoid Γ] [inst_3 : CommRing R] [inst_4 : CommRing V] [inst_5 : Algebra R V]
(x x_1 : HahnSeries Γ V),
x = x_1 →
∀ (f f_1 : PowerSeries R),
f = f_1 → HahnSeries.SummableFamily.powerSeriesFamily x f = HahnSeries.SummableFamily.powerSeriesFamily x_1 f_1- Defined in
- Mathlib.RingTheory.HahnSeries.HEval
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- AddCommMonoidstatement and proof · cited by 12,281
- Algebrastatement and proof · cited by 11,388
- LinearOrderstatement and proof · cited by 8,572
- PowerSeriesstatement and proof · cited by 797
- HahnSeriesstatement and proof · cited by 528
- IsOrderedCancelAddMonoidstatement and proof · cited by 359
- HahnSeries.SummableFamilystatement · cited by 88
- HahnSeries.SummableFamily.powerSeriesFamilystatement and proof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- HahnSeries.pow_addproof · cited by 0