Theorems · Theorem · order theory
OrderedCommGroup.le_of_add_le_add_left
∀ {α : Type u_1} [inst : Add α] [inst_1 : LE α] [AddLeftReflectLE α] {a b c : α}, a + b ≤ a + c → b ≤ cAlias of le_of_add_le_add_left.
- Defined in
- Mathlib.Algebra.Order.Group.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- AddLEAddLeftReflectLE
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- AddLeftReflectLEstatement · cited by 119
- le_of_add_le_add_leftproof · cited by 15
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