Theorems · Theorem · order theory
sub_neg_of_lt
∀ {α : Type u} [inst : AddGroup α] [inst_1 : LT α] [AddRightStrictMono α] {a b : α}, a < b → a - b < 0Alias of the reverse direction of sub_neg.
For a - -b = a + b, see sub_neg_eq_add.
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- Foundations
- Depth 15 from the axioms · uses propext
- Assumes
- AddGroupLTAddRightStrictMono
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- AddGroupstatement and proof · cited by 4,410
- AddRightStrictMonostatement and proof · cited by 160
- sub_negproof · cited by 22
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