Theorems · Theorem · order theory
mabs_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|ₘ ≤ |a / b|ₘ- 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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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
- mabs_div_commproof · cited by 8
- mabs_div_le_iffproof · cited by 4
- mabs_div_mabs_le_mabs_divproof · cited by 2
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