Theorems · Theorem · order theory
lt_iff_exists_one_lt_mul
∀ {α : Type u} [inst : MulOneClass α] [inst_1 : Preorder α] [ExistsMulOfLE α] {a b : α} [MulLeftStrictMono α]
[MulLeftReflectLT 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
- MulLeftStrictMonostatement and proof · cited by 146
- MulLeftReflectLTstatement and proof · cited by 16
- ExistsMulOfLEstatement and proof · cited by 14
- lt_mul_of_one_lt_right'proof · cited by 6
- exists_one_lt_mul_of_lt'proof · cited by 1
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