Theorems · Theorem · commutative algebra
HahnSeries.toOrderTopSubOnePos.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} (e_x : x = x_1) (h : 0 < (x - 1).orderTop),
HahnSeries.toOrderTopSubOnePos h = HahnSeries.toOrderTopSubOnePos ⋯- Defined in
- Mathlib.RingTheory.HahnSeries.Binomial
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- LinearOrderstatement and proof · cited by 8,572
- WithTopstatement · cited by 3,754
- Subgroupstatement · cited by 3,593
- Unitsstatement · cited by 2,804
- HahnSeriesstatement and proof · cited by 528
- IsOrderedCancelAddMonoidstatement and proof · cited by 359
- HahnSeries.orderTopstatement and proof · cited by 103
- HahnSeries.orderTopSubOnePosstatement · cited by 7
- HahnSeries.toOrderTopSubOnePosstatement and proof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- HahnSeries.pow_addproof · cited by 0
- HahnSeries.coeff_toOrderTopSubOnePos_powproof · cited by 0