Theorems · Theorem · group theory
IsAddUnit.add_zero_sub_cancel
∀ {α : Type u} [inst : SubtractionMonoid α] {a : α}, IsAddUnit a → a + (0 - a) = 0- Defined in
- Mathlib.Algebra.Group.Units.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- SubtractionMonoid
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- zero_subproof · cited by 335
- IsAddUnitstatement and proof · cited by 215
- SubtractionMonoidstatement and proof · cited by 208
- IsAddUnit.add_neg_cancelproof · cited by 5
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