Theorems · Theorem · order theory
le_iff_exists_one_le_mul
∀ {α : Type u} [inst : MulOneClass α] [inst_1 : Preorder α] [ExistsMulOfLE α] {a b : α} [MulLeftMono α]
[MulLeftReflectLE α], a ≤ b ↔ ∃ c, 1 ≤ c ∧ a * c = b- Cited by
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- Foundations
- Depth 8 from the axioms · uses no axioms
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- MulOneClassstatement and proof · cited by 1,018
- MulLeftMonostatement and proof · cited by 410
- le_mul_of_one_le_right'proof · cited by 17
- ExistsMulOfLEstatement and proof · cited by 14
- MulLeftReflectLEstatement and proof · cited by 13
- exists_one_le_mul_of_leproof · cited by 3
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