Theorems · Theorem · order theory
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} [AddLeftReflectLE α], b ≤ a → (a - b < c ↔ a < c + b)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 15 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
- AddLeftMonostatement and proof · cited by 687
- ExistsAddOfLEstatement and proof · cited by 330
- OrderedSubstatement and proof · cited by 236
- AddCommSemigroupstatement and proof · cited by 178
- AddLeftReflectLEstatement and proof · cited by 119
- Contravariant.AddLECancellableproof · cited by 45
- AddLECancellable.tsub_lt_iff_rightproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- Nat.ceil_eq_iffproof · cited by 3
- Nat.greatestFib_sub_fib_greatestFib_le_greatestFibproof · cited by 1
- Polynomial.hasseDeriv_compproof · cited by 0