Theorems · Theorem · order theory
MulLECancellable.inj
∀ {α : Type u_1} [inst : Mul α] [inst_1 : PartialOrder α] {a b c : α}, MulLECancellable a → (a * b = a * c ↔ b = c)- Cited by
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- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- MulPartialOrder
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- PartialOrderstatement and proof · cited by 6,410
- MulLECancellablestatement and proof · cited by 20
- MulLECancellable.Injectiveproof · cited by 3
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