Theorems · Theorem · order theory
lt_add_of_pos_left
∀ {α : Type u_1} [inst : AddZeroClass α] [inst_1 : LT α] [AddRightStrictMono α] (a : α) {b : α}, 0 < b → a < b + a- Cited by
- 19 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
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.
- zero_addproof · cited by 2,366
- AddZeroClassstatement and proof · cited by 1,237
- AddRightStrictMonostatement and proof · cited by 160
- add_lt_add_leftproof · cited by 47
Cited by19
Results whose statement or proof uses this declaration.
- InnerProductSpace.HarmonicOnNhd.circleAverage_eqproof · cited by 5
- openSegment_eq_imageproof · cited by 5
- MvPowerSeries.mul_invOfUnitproof · cited by 4
- lt_one_addproof · cited by 4
- strictMono_iff_map_posproof · cited by 3
- PNat.lt_add_leftproof · cited by 2
- Finset.sum_lt_sum_of_subsetproof · cited by 2
- Finset.sum_erase_lt_of_posproof · cited by 2
- uniform_continuous_npow_on_boundedproof · cited by 1
- hasMellin_one_Iocproof · cited by 1
- Archimedean.ratLt_addproof · cited by 1