Theorems · Inductive type · order theory
PredOrder
(α : Type u_3) → [Preorder α] → Type u_3
Order equipped with a sensible predecessor function.
- Defined in
- Mathlib.Order.SuccPred.Basic
- Cited by
- 334 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement · cited by 7,952
Cited by372
Results whose statement or proof uses this declaration.
- Order.predstatement and proof · cited by 273
- IsPredArchimedeanstatement · cited by 66
- toZstatement and proof · cited by 23
- Order.pred_lestatement and proof · cited by 19
- Order.le_pred_of_ltstatement and proof · cited by 15
- Order.le_pred_iff_of_not_isMinstatement and proof · cited by 14
- IsPredArchimedean.exists_pred_iterate_of_lestatement and proof · cited by 11
- Order.pred_lt_iff_of_not_isMinstatement and proof · cited by 10
- Order.pred_lt_of_not_isMinstatement and proof · cited by 9
- WithTop.predstatement and proof · cited by 8
- Order.pred_covBy_of_not_isMinstatement and proof · cited by 8
- Order.pred_eq_iff_isMinstatement and proof · cited by 8
Showing the 200 most cited of 372.