Theorems · Theorem · order theory
tsub_self_add
∀ {α : Type u_1} [inst : AddCommMonoid α] [inst_1 : PartialOrder α] [CanonicallyOrderedAdd α] [inst_3 : Sub α]
[OrderedSub α] (a b : α), a - (a + b) = 0- Defined in
- Mathlib.Algebra.Order.Sub.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 11 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
- OrderedSubstatement and proof · cited by 236
- CanonicallyOrderedAddstatement and proof · cited by 229
- tsub_eq_zero_of_leproof · cited by 26
- self_le_add_rightproof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.coeff_charpoly_mem_ideal_powproof · cited by 1