Theorems · Theorem · group theory
IsAddUnit.add_eq_add_of_sub_eq_sub
∀ {α : Type u} [inst : SubtractionCommMonoid α] {b d : α},
IsAddUnit b → IsAddUnit d → ∀ (a c : α), a - b = c - d → a + d = c + 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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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- add_zeroproof · cited by 2,707
- IsAddUnitstatement and proof · cited by 215
- SubtractionCommMonoidstatement and proof · cited by 79
- sub_add_eq_add_subproof · cited by 29
- add_comm_subproof · cited by 7
- IsAddUnit.sub_add_cancelproof · cited by 4
- IsAddUnit.sub_selfproof · cited by 2
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