Theorems · Theorem · order theory
mulLECancellable_mul
∀ {α : Type u_1} [inst : LE α] [inst_1 : CommSemigroup α] [MulLeftMono α] {a b : α},
MulLECancellable (a * b) ↔ MulLECancellable a ∧ MulLECancellable b- Cited by
- 0 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- LECommSemigroupMulLeftMono
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MulLeftMonostatement and proof · cited by 410
- CommSemigroupstatement and proof · cited by 62
- MulLECancellablestatement and proof · cited by 20
- MulLECancellable.of_mul_rightproof · cited by 2
- MulLECancellable.mulproof · cited by 1
- MulLECancellable.of_mul_leftproof · cited by 1
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