Theorems · Theorem · order theory
WithTop.top_ne_coe
∀ {α : Type u_1} {a : α}, ⊤ ≠ ↑a- Defined in
- Mathlib.Order.WithBot
- Cited by
- 15 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 by15
Results whose statement or proof uses this declaration.
- WithTop.coe_lt_topproof · cited by 44
- meromorphicOrderAt_eq_int_iffproof · cited by 31
- WithTop.not_top_ltproof · cited by 8
- WithTop.le_iff_forallproof · cited by 4
- WithTop.some_eq_map_iffproof · cited by 4
- WithTop.not_top_le_coeproof · cited by 4
- WithTop.top_ne_zeroproof · cited by 4
- WithTop.untop_eq_iffproof · cited by 4
- WithTop.untopD_eq_iffproof · cited by 3
- ENNReal.top_ne_coeproof · cited by 3
- WithTop.lt_iff_exists_coeproof · cited by 2
- WithTop.top_ne_natCastproof · cited by 2