Theorems · Theorem · order theory
mabs_mul_three
∀ {G : Type u_1} [inst : CommGroup G] [inst_1 : LinearOrder G] [IsOrderedMonoid G] (a b c : G),
|a * b * c|ₘ ≤ |a|ₘ * |b|ₘ * |c|ₘ- Defined in
- Mathlib.Algebra.Order.Group.Abs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
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Cites8
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
- le_reflproof · cited by 2,061
- CommGroupstatement and proof · cited by 990
- IsOrderedMonoidstatement and proof · cited by 577
- le_imp_le_of_le_of_leproof · cited by 576
- mul_le_mul'proof · cited by 274
- mabsstatement and proof · cited by 148
- mabs_mul_leproof · cited by 7
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