Theorems · Theorem · group theory
IsAddUnit.add_sub_cancel_left
∀ {α : Type u} [inst : SubtractionCommMonoid α] {a : α}, IsAddUnit a → ∀ (b : α), a + b - a = b- Defined in
- Mathlib.Algebra.Group.Units.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- SubtractionCommMonoid
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.
- add_commproof · cited by 1,535
- IsAddUnitstatement and proof · cited by 215
- SubtractionCommMonoidstatement and proof · cited by 79
- IsAddUnit.add_sub_cancel_rightproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- IsAddUnit.sub_sub_cancelproof · cited by 0