Theorems · Theorem · order theory
WithTop.map_eq_some_iff
∀ {α : Type u_1} {β : Type u_2} {f : α → β} {y : β} {v : WithTop α}, WithTop.map f v = ↑y ↔ ∃ x, v = ↑x ∧ f x = y- Defined in
- Mathlib.Order.WithBot
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext, Quot.sound
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.
- WithTopstatement and proof · cited by 3,754
- WithTop.somestatement · cited by 1,128
- WithTop.mapstatement · cited by 68
Cited by4
Results whose statement or proof uses this declaration.
- WithTop.map_eq_zero_iffproof · cited by 0
- WithTop.map_eq_natCast_iffproof · cited by 0
- WithTop.map_eq_ofNat_iffproof · cited by 0
- WithTop.map_eq_one_iffproof · cited by 0