Theorems · Theorem · order theory
BddBelow.add
∀ {M : Type u_3} [inst : Add M] [inst_1 : Preorder M] [AddLeftMono M] [AddRightMono M] {s t : Set M},
BddBelow s → BddBelow t → BddBelow (s + t)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Preorderstatement and proof · cited by 7,952
- AddLeftMonostatement and proof · cited by 687
- BddBelowstatement and proof · cited by 401
- AddRightMonostatement and proof · cited by 367
- Set.addstatement · cited by 338
- Set.Nonempty.monoproof · cited by 88
- Set.Nonempty.addproof · cited by 3
- subset_lowerBounds_addproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.