Theorems · Theorem · order theory
Order.le_succ_iff_pred_le
∀ {α : Type u_1} [inst : Preorder α] [inst_1 : PredOrder α] [inst_2 : SuccOrder α] {a b : α},
b ≤ Order.succ a ↔ Order.pred b ≤ a- Defined in
- Mathlib.Order.SuccPred.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- Order.succstatement and proof · cited by 633
- SuccOrderstatement and proof · cited by 574
- PredOrderstatement and proof · cited by 334
- Order.predstatement and proof · cited by 273
- LE.le.trans'proof · cited by 140
- Order.succ_le_succproof · cited by 7
- Order.pred_le_predproof · cited by 5
- Order.le_succ_predproof · cited by 2
- Order.pred_succ_leproof · cited by 2
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