Theorems · Theorem · commutative algebra
HahnSeries.orderTop_single_le
∀ {Γ : Type u_1} {R : Type u_3} [inst : PartialOrder Γ] [inst_1 : Zero R] {a : Γ} {r : R},
↑a ≤ ((HahnSeries.single a) r).orderTop- Defined in
- Mathlib.RingTheory.HahnSeries.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- PartialOrderstatement and proof · cited by 6,410
- WithTopstatement and proof · cited by 3,754
- le_reflproof · cited by 2,061
- map_zeroproof · cited by 1,614
- WithTop.somestatement and proof · cited by 1,128
- HahnSeriesstatement · cited by 528
- ZeroHomstatement · cited by 161
- HahnSeries.orderTopstatement and proof · cited by 103
- HahnSeries.singlestatement and proof · cited by 82
- HahnSeries.orderTop_zeroproof · cited by 22
- HahnSeries.orderTop_singleproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- HahnSeries.lt_orderTop_singleproof · cited by 0