Theorems · Theorem · order theory
div_le_of_mabs_div_le_left
∀ {G : Type u_1} [inst : CommGroup G] [inst_1 : LinearOrder G] [IsOrderedMonoid G] {a b c : G}, |a / b|ₘ ≤ c → b / c ≤ a- Defined in
- Mathlib.Algebra.Order.Group.Abs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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_le_iffproof · cited by 4
- div_le_commproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- div_le_of_mabs_div_le_rightproof · cited by 0