Theorems · Theorem · order theory
Left.self_le_neg
∀ {α : Type u} [inst : AddGroup α] [inst_1 : Preorder α] [AddLeftMono α] {a : α}, a ≤ 0 → a ≤ -a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
- Assumes
- AddGroupPreorderAddLeftMono
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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
- AddGroupstatement and proof · cited by 4,410
- le_transproof · cited by 985
- AddLeftMonostatement and proof · cited by 687
- Left.nonneg_neg_iffproof · cited by 14
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