Theorems · Theorem · order theory
neg_add_nonpos_iff
∀ {α : Type u} [inst : AddGroup α] [inst_1 : LE α] [AddLeftMono α] {a b : α}, -a + b ≤ 0 ↔ b ≤ a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
- Assumes
- AddGroupLEAddLeftMono
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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
- add_zeroproof · cited by 2,707
- AddLeftMonostatement and proof · cited by 687
- neg_add_le_iff_le_addproof · cited by 6
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