Theorems · Theorem · order theory
neg_le_abs
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : AddGroup α] (a : α), -a ≤ |a|- Cited by
- 18 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- absstatement · cited by 1,814
- Latticestatement and proof · cited by 916
- le_sup_rightproof · cited by 242
Cited by18
Results whose statement or proof uses this declaration.
- abs_add_leproof · cited by 17
- Filter.tendsto_abs_atBot_atTopproof · cited by 7
- HurwitzKernelBounds.summable_f_natproof · cited by 5
- abs_le_max_abs_absproof · cited by 5
- Real.abs_log_sub_add_sum_range_leproof · cited by 4
- Complex.continuousAt_cpow_zero_of_re_posproof · cited by 2
- ConvexOn.lipschitzOnWith_of_abs_leproof · cited by 2
- MeasureTheory.Integrable.measure_le_lt_topproof · cited by 2
- MeasureTheory.abs_condExp_ae_le_condExp_absproof · cited by 2
- bdd_le_mul_tendsto_zeroproof · cited by 1
- tendsto_div_of_monotone_of_exists_subseq_tendsto_divproof · cited by 1
- ENNReal.exists_frequently_lt_of_liminf_ne_top'proof · cited by 1