Theorems · Theorem · order theory
Order.IsPredLimit.lt_sub_natCast
∀ {α : Type u_1} {x y : α} [inst : PartialOrder α] [inst_1 : AddCommGroupWithOne α] [PredSubOrder α],
Order.IsPredLimit x → x < y → ∀ (n : ℕ), x < y - ↑n- Defined in
- Mathlib.Algebra.Order.SuccPred
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- PredSubOrderstatement and proof · cited by 68
- AddCommGroupWithOnestatement and proof · cited by 61
- Order.IsPredLimitstatement and proof · cited by 60
- Order.IsPredLimit.isPredPrelimitproof · cited by 23
- Order.IsPredPrelimit.lt_sub_natCastproof · cited by 1
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