Theorems · Theorem · group theory
IsAddUnit.neg_add_eq_neg_add_iff
∀ {α : Type u} [inst : SubtractionCommMonoid α] {a b c d : α},
IsAddUnit b → IsAddUnit d → (-b + a = -d + c ↔ a + d = c + b)- Defined in
- Mathlib.Algebra.Group.Units.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
- Assumes
- SubtractionCommMonoid
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- IsAddUnitstatement and proof · cited by 215
- SubtractionCommMonoidstatement and proof · cited by 79
- sub_eq_neg_addproof · cited by 51
- IsAddUnit.sub_eq_sub_iffproof · cited by 2
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