Theorems · Theorem · order theory
le_of_mabs_le
∀ {G : Type u_1} [inst : CommGroup G] [inst_1 : LinearOrder G] [IsOrderedMonoid G] {a b : G}, |a|ₘ ≤ b → a ≤ b- Defined in
- Mathlib.Algebra.Order.Group.Abs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Quot.sound
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Cites5
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_leproof · cited by 3
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