Theorems · Theorem · order theory
eq_of_mabs_div_lt_all
∀ {G : Type u_1} [inst : CommGroup G] [inst_1 : LinearOrder G] [IsOrderedMonoid G] {x y : G},
(∀ ε > 1, |x / y|ₘ < ε) → x = y- Defined in
- Mathlib.Algebra.Order.Group.Abs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, 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
- le_of_forall_gtproof · cited by 19
- eq_of_mabs_div_le_oneproof · cited by 3
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