Theorems · Theorem · order theory
sub_lt_sub_iff_right
∀ {α : Type u} [inst : AddGroup α] [inst_1 : LT α] [AddRightStrictMono α] {a b : α} (c : α), a - c < b - c ↔ a < b- Cited by
- 8 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- AddGroupLTAddRightStrictMono
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
- sub_eq_add_negproof · cited by 1,023
- AddRightStrictMonostatement and proof · cited by 160
- add_lt_add_iff_rightproof · cited by 42
Cited by8
Results whose statement or proof uses this declaration.
- sub_lt_sub_rightproof · cited by 7
- ArchimedeanClass.lt_of_lt_stdPartproof · cited by 3
- Complex.betaIntegral_convergent_leftproof · cited by 1
- exists_irrational_btwnproof · cited by 1
- MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_innerproof · cited by 1
- HahnEmbedding.Partial.eval_ltproof · cited by 1
- Complex.approx_Gamma_integral_tendsto_Gamma_integralproof · cited by 1