Theorems · Theorem · order theory
WithTop.untop_eq_iff
∀ {α : Type u_1} {a : WithTop α} {b : α} (h : a ≠ ⊤), a.untop h = b ↔ a = ↑b- Defined in
- Mathlib.Order.WithBot
- Cited by
- 4 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.
Cites7
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.untopstatement and proof · cited by 36
- WithTop.coe_injproof · cited by 21
- WithTop.top_ne_coeproof · cited by 15
Cited by4
Results whose statement or proof uses this declaration.
- HahnSeries.coeff_untop_eq_leadingCoeffproof · cited by 2
- HahnSeries.leadingCoeff_pos_iffproof · cited by 2
- WithTop.untop_injproof · cited by 0