Theorems · Theorem · order theory
add_le_of_nonpos_right
∀ {α : Type u_1} [inst : AddZeroClass α] [inst_1 : LE α] [AddLeftMono α] {a b : α}, b ≤ 0 → a + b ≤ a- Cited by
- 3 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- AddZeroClassLEAddLeftMono
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.
- add_zeroproof · cited by 2,707
- AddZeroClassstatement and proof · cited by 1,237
- AddLeftMonostatement and proof · cited by 687
- add_le_add_rightproof · cited by 37
Cited by3
Results whose statement or proof uses this declaration.
- Function.Periodic.image_uIccproof · cited by 1
- le_of_le_add_of_nonpos_leftproof · cited by 0
- lt_of_lt_add_of_nonpos_leftproof · cited by 0