Theorems · Theorem · group theory
IsAddUnit.sub_add_cancel_right
∀ {α : Type u} [inst : SubtractionMonoid α] {b : α}, IsAddUnit b → ∀ (a : α), b - (a + b) = -a- Defined in
- Mathlib.Algebra.Group.Units.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
- Assumes
- SubtractionMonoid
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.
- sub_eq_add_negproof · cited by 1,023
- neg_add_revproof · cited by 236
- IsAddUnitstatement and proof · cited by 215
- SubtractionMonoidstatement and proof · cited by 208
- IsAddUnit.add_neg_cancel_leftproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- IsAddUnit.sub_add_leftproof · cited by 1
- IsAddUnit.sub_add_cancel_leftproof · cited by 0