Theorems · Theorem · order theory
MulLECancellable.mul_le_iff_le_one_left
∀ {α : Type u_1} [inst : LE α] [inst_1 : MulOneClass α] [IsMulCommutative α] [MulLeftMono α] {a b : α},
MulLECancellable a → (b * a ≤ a ↔ b ≤ 1)- Cited by
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- Foundations
- Depth 8 from the axioms · uses propext
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MulOneClassstatement and proof · cited by 1,018
- MulLeftMonostatement and proof · cited by 410
- IsMulCommutativestatement and proof · cited by 95
- MulLECancellablestatement and proof · cited by 20
- mul_comm'proof · cited by 12
- MulLECancellable.mul_le_iff_le_one_rightproof · cited by 1
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