Theorems · Theorem · order theory
not_isTop
∀ {α : Type u_1} [inst : LE α] [NoTopOrder α] (a : α), ¬IsTop a- Defined in
- Mathlib.Order.Max
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- LENoTopOrder
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.
- IsTopstatement and proof · cited by 77
- NoTopOrderstatement and proof · cited by 50
- NoTopOrder.exists_not_leproof · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- disjoint_nhds_atTopproof · cited by 4
- IsGLB.nonemptyproof · cited by 3
- WithTop.eq_top_iff_forall_geproof · cited by 3
- WithTop.forall_le_coe_iff_leproof · cited by 1
- NoTopOrder.upperBounds_univproof · cited by 1