Theorems · Theorem · order theory
self_le_add_left
∀ {α : Type u} [inst : Add α] [inst_1 : LE α] [CanonicallyOrderedAdd α] (a b : α), a ≤ b + a- Cited by
- 18 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- AddLECanonicallyOrderedAdd
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CanonicallyOrderedAddstatement and proof · cited by 229
- le_add_selfproof · cited by 51
Cited by18
Results whose statement or proof uses this declaration.
- Cardinal.add_eq_maxproof · cited by 13
- MeasureTheory.tendsto_setToFun_filter_of_dominated_convergenceproof · cited by 6
- Cardinal.add_eq_selfproof · cited by 4
- Cardinal.add_lt_aleph0_iffproof · cited by 3
- MonomialOrder.sPolynomial_monomial_mulproof · cited by 3
- MeasureTheory.ae_of_forall_measure_lt_top_ae_restrict'proof · cited by 3
- ContMDiffWithinAt.mfderivWithinproof · cited by 3
- Cardinal.ciSup_addproof · cited by 2
- DirectSum.coe_mul_of_apply_of_not_leproof · cited by 2
- ExpGrowth.expGrowthSup_addproof · cited by 2
- Set.range_add_eq_image_Iciproof · cited by 2
- Cardinal.eq_of_add_eq_of_aleph0_leproof · cited by 2