Theorems · Theorem · group theory
IsAddUnit.sub_add_cancel
∀ {α : Type u} [inst : SubtractionMonoid α] {b : α}, IsAddUnit b → ∀ (a : α), a - b + b = a- Defined in
- Mathlib.Algebra.Group.Units.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- 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.neg_add_cancel_rightproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- IsAddUnit.sub_eq_sub_iffproof · cited by 2
- AddCommute.sub_eq_sub_iff_of_isAddUnitproof · cited by 1
- IsAddUnit.add_eq_add_of_sub_eq_subproof · cited by 0
- IsAddUnit.add_sub_cancelproof · cited by 0