Theorems · Theorem · order theory
Order.succ_pred
∀ {α : Type u_1} [inst : PartialOrder α] [inst_1 : SuccOrder α] [inst_2 : PredOrder α] [NoMinOrder α] (a : α),
Order.succ (Order.pred a) = 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
Around this declaration
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Cites8
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
- Order.succstatement · cited by 633
- SuccOrderstatement and proof · cited by 574
- PredOrderstatement and proof · cited by 334
- Order.predstatement · cited by 273
- NoMinOrderstatement and proof · cited by 247
- CovBy.succ_eqproof · cited by 8
- Order.pred_covByproof · cited by 4
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