Theorems · Inductive type · order theory
NoMaxOrder
(α : Type u_3) → [LT α] → Prop
Order without maximal elements. Sometimes called cofinal.
- Defined in
- Mathlib.Order.Max
- Cited by
- 340 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
- Assumes
- LT
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by353
Results whose statement or proof uses this declaration.
- NoMaxOrder.exists_gtstatement and proof · cited by 62
- not_isMaxstatement and proof · cited by 46
- Order.lt_succstatement and proof · cited by 45
- interior_Iccstatement and proof · cited by 37
- Order.lt_succ_iffstatement and proof · cited by 22
- Order.succ_le_iffstatement and proof · cited by 20
- exists_seq_strictAnti_tendstostatement and proof · cited by 18
- Order.lt_add_one_iffstatement and proof · cited by 13
- SSet.Subcomplex.Pairing.RankFunction.bstatement and proof · cited by 13
- mem_nhds_iff_exists_Ioo_subsetstatement and proof · cited by 13
- Cardinal.mul_eq_selfproof · cited by 13
- closure_Ioistatement and proof · cited by 11
Showing the 200 most cited of 353.