Theorems · Theorem · group theory
IsAddUnit.add_sub_cancel
∀ {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
- 0 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- SubtractionCommMonoid
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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.sub_add_cancelproof · cited by 4
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