Theorems · Theorem · order theory
tsub_lt_of_lt
∀ {α : Type u_1} [inst : AddCommMonoid α] [inst_1 : PartialOrder α] [CanonicallyOrderedAdd α] [inst_3 : Sub α]
[OrderedSub α] {a b c : α}, a < b → a - c < b- Defined in
- Mathlib.Algebra.Order.Sub.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- PartialOrderstatement and proof · cited by 6,410
- lt_of_le_of_ltproof · cited by 432
- OrderedSubstatement and proof · cited by 236
- CanonicallyOrderedAddstatement and proof · cited by 229
- tsub_le_selfproof · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- ZMod.val_subproof · cited by 0