Theorems · Theorem · order theory
Order.IsPredPrelimit.isMin
∀ {α : Type u_1} {a : α} [inst : Preorder α] [inst_1 : PredOrder α], Order.IsPredPrelimit (Order.pred a) → IsMin a- Defined in
- Mathlib.Order.SuccPred.Limit
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- PredOrderstatement and proof · cited by 334
- IsMinstatement and proof · cited by 277
- Order.predstatement and proof · cited by 273
- Order.IsPredPrelimitstatement and proof · cited by 93
- Order.pred_covBy_of_not_isMinproof · cited by 8
Cited by7
Results whose statement or proof uses this declaration.
- Order.IsPredPrelimit.lt_predproof · cited by 4
- Order.IsPredPrelimit.pred_neproof · cited by 3
- PredOrder.prelimitRecOn_pred_of_not_isMinproof · cited by 2
- Order.isPredPrelimitRecOn_pred_of_not_isMinproof · cited by 2
- Order.IsPredPrelimit.isMaxproof · cited by 2
- Order.IsPredLimit.isMinproof · cited by 1
- Order.not_isPredPrelimit_pred_of_not_isMinproof · cited by 0