Theorems · Theorem · order theory
LT.lt.not_isMax
∀ {α : Type u_1} [inst : Preorder α] {a b : α}, a < b → ¬IsMax aAlias of not_isMax_of_lt.
- Defined in
- Mathlib.Order.Max
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 8 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 · cited by 7,952
- IsMaxstatement · cited by 372
- not_isMax_of_ltproof · cited by 6
Cited by11
Results whose statement or proof uses this declaration.
- Order.IsNormal.of_succ_ltproof · cited by 4
- Order.not_isSuccPrelimit_iff_succ_eqproof · cited by 3
- Set.insert_Ico_succ_left_eq_Icoproof · cited by 2
- StrictMono.isMax_of_applyproof · cited by 2
- Set.insert_Ioc_succ_left_eq_Iocproof · cited by 2
- IsGLB.isPredLimit_of_notMemproof · cited by 1
- Order.le_succ_of_wcovByproof · cited by 1
- iSup_succproof · cited by 1
- SimpleGraph.hasse_preconnected_of_succproof · cited by 1
- SSet.Subcomplex.Pairing.RankFunction.filtration_of_isSuccLimitproof · cited by 0
- StrictAnti.isMin_of_applyproof · cited by 0