Theorems · Theorem · order theory
neg_abs_le
∀ {α : Type u_1} [inst : AddGroup α] [inst_1 : LinearOrder α] [AddLeftMono α] (a : α), -|a| ≤ a- Cited by
- 5 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- AddGroupstatement and proof · cited by 4,410
- LE.le.transproof · cited by 3,151
- absstatement · cited by 1,814
- neg_negproof · cited by 960
- AddLeftMonostatement and proof · cited by 687
- le_totalproof · cited by 294
- abs_of_nonnegproof · cited by 279
- abs_of_nonposproof · cited by 53
- neg_nonposproof · cited by 31
Cited by5
Results whose statement or proof uses this declaration.
- norm_jacobiTheta₂_term_leproof · cited by 5
- ConvexOn.isBoundedUnder_absproof · cited by 2
- AkraBazziRecurrence.GrowsPolynomially.add_isLittleOproof · cited by 1
- neg_abs_le_negproof · cited by 0
- MeasureTheory.HasFiniteIntegral.min_zeroproof · cited by 0