Theorems · Theorem · order theory
AddLECancellable.tsub_lt_iff_right
∀ {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}, AddLECancellable b → b ≤ a → (a - b < c ↔ a < c + b)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- add_commproof · cited by 1,535
- AddLeftMonostatement and proof · cited by 687
- ExistsAddOfLEstatement and proof · cited by 330
- OrderedSubstatement and proof · cited by 236
- AddCommSemigroupstatement and proof · cited by 178
- AddLECancellablestatement and proof · cited by 87
- AddLECancellable.tsub_lt_iff_leftproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- ENNReal.sub_lt_of_lt_addproof · cited by 6
- tsub_lt_iff_rightproof · cited by 3
- ENNReal.sub_lt_iff_lt_rightproof · cited by 1
- AddLECancellable.tsub_lt_iff_tsub_ltproof · cited by 1