Theorems · Theorem · order theory
lt_tsub_comm
∀ {α : Type u_1} {a b c : α} [inst : LinearOrder α] [inst_1 : AddCommSemigroup α] [inst_2 : Sub α] [OrderedSub α],
a < b - c ↔ c < b - a- Defined in
- Mathlib.Algebra.Order.Sub.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- OrderedSubstatement and proof · cited by 236
- AddCommSemigroupstatement and proof · cited by 178
- lt_tsub_iff_rightproof · cited by 16
- lt_tsub_iff_leftproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- ENNReal.hasBasis_nhds_of_ne_top'proof · cited by 2