Theorems · Theorem · order theory
add_le_of_le_tsub_right_of_le
∀ {α : Type u_1} [inst : AddCommSemigroup α] [inst_1 : PartialOrder α] [ExistsAddOfLE α] [AddLeftMono α]
[inst_4 : Sub α] [OrderedSub α] {a b c : α}, b ≤ c → a ≤ c - b → a + b ≤ c- Cited by
- 8 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- le_reflproof · cited by 2,061
- AddLeftMonostatement and proof · cited by 687
- add_le_addproof · cited by 666
- le_imp_le_of_le_of_leproof · cited by 576
- ExistsAddOfLEstatement and proof · cited by 330
- OrderedSubstatement and proof · cited by 236
- AddCommSemigroupstatement and proof · cited by 178
- tsub_add_cancel_of_leproof · cited by 112
Cited by8
Results whose statement or proof uses this declaration.
- Finset.sup'_add'proof · cited by 2
- AddLECancellable.lt_tsub_iff_right_of_leproof · cited by 2
- SimpleGraph.vertexCoverNum_topproof · cited by 0
- Nat.isZeckendorfRep_zeckendorfproof · cited by 0
- MeasureTheory.Measure.haveLebesgueDecomposition_of_finiteMeasureproof · cited by 0
- ENNReal.sub_iSupproof · cited by 0
- ENat.sub_iSupproof · cited by 0
- ENNReal.le_sub_iff_add_le_rightproof · cited by 0