Theorems · Theorem · order theory
WithTop.untopD_eq_self_iff
∀ {α : Type u_1} {d : α} {x : WithTop α}, WithTop.untopD d x = d ↔ x = ↑d ∨ x = ⊤- Defined in
- Mathlib.Order.WithBot
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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 and proof · cited by 3,754
- WithTop.somestatement and proof · cited by 1,128
- WithTop.untopDstatement · cited by 33
- WithTop.untopD_eq_iffproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- ENat.toNat_eq_zeroproof · cited by 4
- ENNReal.toNNReal_eq_zero_iffproof · cited by 3
- WithTop.untopD_eq_untopD_iffproof · cited by 1