Theorems · Theorem · order theory
Right.add_pos_of_nonneg_of_pos
∀ {α : Type u_1} [inst : AddZeroClass α] [inst_1 : Preorder α] [AddRightMono α] {a b : α}, 0 ≤ a → 0 < b → 0 < a + bAssumes right covariance.
The lemma assuming left covariance is Left.add_pos_of_nonneg_of_pos.
- Cited by
- 137 results in Mathlib
- Foundations
- Depth 8 from the axioms, rests on 38 definitions · uses no axioms
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.
- Preorderstatement and proof · cited by 7,952
- AddZeroClassstatement and proof · cited by 1,237
- AddRightMonostatement and proof · cited by 367
- lt_add_of_nonneg_of_ltproof · cited by 4
Cited by137
Results whose statement or proof uses this declaration.
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