Theorems · Theorem · order theory
mabs_div_mabs_le_mabs_div
∀ {G : Type u_1} [inst : CommGroup G] [inst_1 : LinearOrder G] [IsOrderedMonoid G] (a b : G), |a|ₘ / |b|ₘ ≤ |a / b|ₘ- Defined in
- Mathlib.Algebra.Order.Group.Abs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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 and proof · cited by 148
- div_mul_cancelproof · cited by 33
- mabs_mul_leproof · cited by 7
- div_le_iff_le_mulproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- mabs_mabs_div_mabs_le_mabs_divproof · cited by 0
- mabs_div_mabs_le_mabs_mulproof · cited by 0