Theorems · Theorem · group theory
IsAddUnit.sub_self
∀ {α : Type u} [inst : SubtractionMonoid α] {a : α}, IsAddUnit a → a - a = 0- Defined in
- Mathlib.Algebra.Group.Units.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- Assumes
- SubtractionMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- sub_eq_add_negproof · cited by 1,023
- IsAddUnitstatement and proof · cited by 215
- SubtractionMonoidstatement and proof · cited by 208
- IsAddUnit.add_neg_cancelproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- IsAddUnit.add_eq_add_of_sub_eq_subproof · cited by 0
- IsAddUnit.sub_eq_zero_iff_eqproof · cited by 0