Theorems · Theorem · order theory
le_abs_self
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : AddGroup α] (a : α), a ≤ |a|- Cited by
- 113 results in Mathlib
- Foundations
- Depth 13 from the axioms, rests on 74 definitions · 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_leftproof · cited by 265
Cited by113
Results whose statement or proof uses this declaration.
- abs_add_leproof · cited by 17
- Real.le_norm_selfproof · cited by 16
- norm_sub_norm_leproof · cited by 15
- Asymptotics.IsBigO.of_norm_eventuallyLEproof · cited by 11
- Filter.tendsto_abs_atTop_atTopproof · cited by 9
- MeasureTheory.HasFiniteIntegral.mono'proof · cited by 8
- le_of_sq_le_sqproof · cited by 8
- FormalMultilinearSeries.le_radius_of_isBigOproof · cited by 7
- Asymptotics.IsBigO.integrableAtFilterproof · cited by 7
- MeasureTheory.Integrable.integral_prod_leftproof · cited by 7
- MeasureTheory.MemLp.of_boundproof · cited by 6
- hasFDerivAt_integral_of_dominated_of_fderiv_leproof · cited by 5