Theorems · Theorem · order theory
add_neg_nonpos_iff_le
∀ {α : Type u} [inst : AddGroup α] [inst_1 : LE α] [AddRightMono α] {a b : α}, a + -b ≤ 0 ↔ a ≤ b- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
- Assumes
- AddGroupLEAddRightMono
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- zero_addproof · cited by 2,366
- AddRightMonostatement and proof · cited by 367
- add_neg_le_iff_le_addproof · cited by 6
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.