Theorems · Theorem · order theory
Order.IsSuccPrelimit.isMin
∀ {α : Type u_1} {a : α} [inst : PartialOrder α] [inst_1 : SuccOrder α] [IsSuccArchimedean α],
Order.IsSuccPrelimit a → IsMin a- Defined in
- Mathlib.Order.SuccPred.Limit
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- le_rflproof · cited by 1,558
- Order.succproof · cited by 633
- SuccOrderstatement and proof · cited by 574
- IsMinstatement · cited by 277
- Order.IsSuccPrelimitstatement and proof · cited by 157
- IsSuccArchimedeanstatement and proof · cited by 88
- Succ.recproof · cited by 10
- IsMax.succ_eqproof · cited by 7
- Order.IsSuccPrelimit.isMaxproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- Order.isSuccPrelimit_iff_isMinproof · cited by 1
- Order.not_isSuccLimit_of_isSuccArchimedeanproof · cited by 1