Theorems · Theorem · order theory
WithTop.untopD_eq_iff
∀ {α : Type u_1} {d y : α} {x : WithTop α}, WithTop.untopD d x = y ↔ x = ↑y ∨ x = ⊤ ∧ y = d- Defined in
- Mathlib.Order.WithBot
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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 · cited by 1,128
- WithTop.recTopCoeproof · cited by 107
- WithTop.coe_ne_topproof · cited by 43
- WithTop.untopDstatement · cited by 33
- WithTop.coe_injproof · cited by 21
- WithTop.top_ne_coeproof · cited by 15
Cited by3
Results whose statement or proof uses this declaration.
- WithTop.untopD_eq_self_iffproof · cited by 3
- ENNReal.toNNReal_eq_one_iffproof · cited by 2
- WithTop.untopD_eq_untopD_iffproof · cited by 1