Theorems · Theorem · order theory
scottContinuous_inf_right
∀ {β : Type u_2} [inst : CompleteLinearOrder β] (a : β), ScottContinuous fun b => min a b- Defined in
- Mathlib.Order.ScottContinuity.Complete
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteLinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Set.imageproof · cited by 5,609
- Set.Nonemptyproof · cited by 2,627
- iSupproof · cited by 2,415
- SupSet.sSupproof · cited by 954
- DirectedOnproof · cited by 271
- CompleteLinearOrderstatement and proof · cited by 126
- sSup_imageproof · cited by 36
- ScottContinuousstatement · cited by 24
- inf_sSup_eqproof · cited by 4
- ScottContinuous.of_map_sSupproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ScottContinuous.inf₂proof · cited by 0