Theorems · Theorem · group theory
neg_add_cancel_comm_assoc
∀ {G : Type u_1} [inst : AddCommGroup G] (a b : G), -a + (b + a) = b- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
- Assumes
- AddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommGroupstatement and proof · cited by 12,871
- add_commproof · cited by 1,535
- add_neg_cancel_rightproof · cited by 65
Cited by4
Results whose statement or proof uses this declaration.
- isImmersionOfComplement_subtypeVal_Iccproof · cited by 3
- Real.exists_int_int_abs_mul_sub_leproof · cited by 2
- pow_mul_le_of_le_of_pow_mul_leproof · cited by 2
- LaurentPolynomial.toLaurent_reverseproof · cited by 1