Theorems · Theorem · group theory
IsAddUnit.add_add_sub
∀ {α : Type u} [inst : SubtractionMonoid α] {b : α} (a : α), IsAddUnit b → a + b + (0 - b) = a- Defined in
- Mathlib.Algebra.Group.Units.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- SubtractionMonoid
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Cites4
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_cancel_rightproof · cited by 3
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