Theorems · Theorem · order theory
le_add_of_nonneg_of_le
∀ {α : Type u_1} [inst : AddZeroClass α] [inst_1 : Preorder α] [AddRightMono α] {a b c : α}, 0 ≤ a → b ≤ c → b ≤ a + c- Cited by
- 5 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- zero_addproof · cited by 2,366
- AddZeroClassstatement and proof · cited by 1,237
- AddRightMonostatement and proof · cited by 367
- add_le_add_leftproof · cited by 37
Cited by5
Results whose statement or proof uses this declaration.
- add_eq_zero_iff_of_nonnegproof · cited by 8
- List.single_le_sumproof · cited by 3
- mellin_hasDerivAt_of_isBigO_rpowproof · cited by 2
- Right.add_nonnegproof · cited by 1
- Matrix.PosDef.fromBlocks₁₁proof · cited by 1