Theorems · Theorem · group theory
add_right_comm
∀ {G : Type u_3} [inst : AddCommSemigroup G] (a b c : G), a + b + c = a + c + b- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 85 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- AddCommSemigroup
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.
- add_commproof · cited by 1,535
- add_assocproof · cited by 746
- AddCommSemigroupstatement and proof · cited by 178
Cited by85
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.restrict_sub_eq_restrict_sub_restrictproof · cited by 6
- toIocDiv_add_zsmul'proof · cited by 5
- toIcoDiv_add_zsmul'proof · cited by 5
- mul_add_mul_le_mul_add_mulproof · cited by 4
- Polynomial.coeff_hermite_of_ltproof · cited by 4
- SimpleGraph.Walk.drop_getVertproof · cited by 4
- AddCommGroup.ModEq.add_iff_leftproof · cited by 3
- Set.Ioi_add_bijproof · cited by 3
- Nat.exists_add_mul_eq_of_gcd_dvd_of_mul_pred_leproof · cited by 3
- toIocDiv_sub_eq_toIocDiv_addproof · cited by 3
- Complex.sin_sub_sinproof · cited by 3
- NNReal.agm_eq_agm_agmSequences_fst_agmSequences_sndproof · cited by 3