Theorems · Theorem · order theory
HahnSeries.orderTop_abs
∀ {Γ : Type u_1} {R : Type u_2} [inst : LinearOrder Γ] [inst_1 : LinearOrder R] [inst_2 : AddCommGroup R]
[IsOrderedAddMonoid R] (x : Lex (HahnSeries Γ R)), (ofLex |x|).orderTop = (ofLex x).orderTop- Defined in
- Mathlib.RingTheory.HahnSeries.Lex
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- AddCommGroupstatement and proof · cited by 12,871
- LinearOrderstatement and proof · cited by 8,572
- Equivstatement · cited by 8,337
- WithTopstatement and proof · cited by 3,754
- absstatement · cited by 1,814
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- HahnSeriesstatement and proof · cited by 528
- Lexstatement and proof · cited by 370
- le_totalproof · cited by 294
- ofLexstatement and proof · cited by 127
- HahnSeries.orderTopstatement and proof · cited by 103
Cited by3
Results whose statement or proof uses this declaration.
- HahnSeries.abs_lt_abs_of_orderTop_ofLexproof · cited by 1
- HahnSeries.order_absproof · cited by 0