Theorems · Theorem · order theory
WithTop.coe_ne_top
∀ {α : Type u_1} {a : α}, ↑a ≠ ⊤- Defined in
- Mathlib.Order.WithBot
- Cited by
- 43 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
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.
- Top.topstatement and proof · cited by 9,680
- WithTopstatement · cited by 3,754
- WithTop.somestatement and proof · cited by 1,128
Cited by44
Results whose statement or proof uses this declaration.
- ENNReal.coe_ne_topproof · cited by 100
- WithTop.coe_le_coeproof · cited by 65
- WithTop.coe_lt_coeproof · cited by 47
- WithTop.top_le_iffproof · cited by 13
- MeasureTheory.stoppedProcess_stoppedProcessproof · cited by 6
- WithTop.le_iff_forallproof · cited by 4
- WithTop.not_top_le_coeproof · cited by 4
- WithTop.untopD_eq_iffproof · cited by 3
- WithTop.prod_ne_topproof · cited by 3
- WithTop.lt_top_iff_ne_topproof · cited by 3
- Equiv.withTopSubtypeNeproof · cited by 3
- WithTop.untopD_leproof · cited by 2