Theorems · Theorem · order theory
IsMin.mono
∀ {α : Type u_1} [inst : Preorder α] {a b : α}, IsMin a → b ≤ a → IsMin b- Defined in
- Mathlib.Order.Max
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- LE.le.transproof · cited by 3,151
- IsMinstatement and proof · cited by 277
Cited by3
Results whose statement or proof uses this declaration.
- Order.pred_le_predproof · cited by 5
- Set.Ioc_pred_right_eq_Iooproof · cited by 3
- Set.Icc_succ_pred_eq_Iooproof · cited by 2