Theorems · Theorem · commutative algebra
HahnSeries.orderTop_add_eq_right
∀ {R : Type u_3} [inst : AddMonoid R] {Γ : Type u_8} [inst_1 : LinearOrder Γ] {x y : HahnSeries Γ R},
y.orderTop < x.orderTop → (x + y).orderTop = y.orderTop- Defined in
- Mathlib.RingTheory.HahnSeries.Addition
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddMonoidLinearOrder
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- WithTopstatement · cited by 3,754
- AddMonoidstatement and proof · cited by 2,864
- AddEquiv.symmproof · cited by 530
- HahnSeriesstatement and proof · cited by 528
- AddOpposite.opproof · cited by 192
- HahnSeries.orderTopstatement and proof · cited by 103
- HahnSeries.addOppositeEquivproof · cited by 10
- HahnSeries.orderTop_add_eq_leftproof · cited by 4
- HahnSeries.addOppositeEquiv_symm_orderTopproof · cited by 2
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