Theorems · Theorem · order theory
mabs_div_le_of_one_le_of_le
∀ {G : Type u_1} [inst : CommGroup G] [inst_1 : LinearOrder G] [IsOrderedMonoid G] {a b n : G},
1 ≤ a → a ≤ n → 1 ≤ b → b ≤ n → |a / b|ₘ ≤ n|a / b|ₘ ≤ n if 1 ≤ a ≤ n and 1 ≤ b ≤ n.
- Defined in
- Mathlib.Algebra.Order.Group.Abs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- CommGroupstatement and proof · cited by 990
- IsOrderedMonoidstatement and proof · cited by 577
- mabsstatement · cited by 148
- div_le_iff_le_mulproof · cited by 6
- le_mul_of_le_of_one_leproof · cited by 4
- mabs_div_le_iffproof · cited by 4
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