Theorems · Theorem · order theory
WithTop.untopD_eq_untopD_iff
∀ {α : Type u_1} {d : α} {x y : WithTop α},
WithTop.untopD d x = WithTop.untopD d y ↔ x = y ∨ x = ↑d ∧ y = ⊤ ∨ x = ⊤ ∧ y = ↑d- Defined in
- Mathlib.Order.WithBot
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.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
- WithTop.untopD_eq_iffproof · cited by 3
- WithTop.untopD_eq_self_iffproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- ENNReal.toNNReal_eq_toNNReal_iffproof · cited by 1