Theorems · Theorem · group theory
add_assoc
∀ {G : Type u_1} [inst : AddSemigroup G] (a b c : G), a + b + c = a + (b + c)- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 746 results in Mathlib
- Foundations
- Depth 5 from the axioms, rests on 9 definitions · uses no axioms
- Assumes
- AddSemigroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddSemigroupstatement and proof · cited by 136
- AddSemigroup.add_assocproof · cited by 1
Cited by746
Results whose statement or proof uses this declaration.
- Nat.cast_addproof · cited by 586
- Int.cast_addproof · cited by 124
- sq_nonnegproof · cited by 106
- add_right_commproof · cited by 85
- neg_add_cancel_leftproof · cited by 84
- add_left_commproof · cited by 76
- add_neg_cancel_leftproof · cited by 76
- neg_add_cancel_rightproof · cited by 75
- Submodule.mem_supproof · cited by 73
- add_sub_assocproof · cited by 72
- add_neg_cancel_rightproof · cited by 65
- add_add_add_commproof · cited by 56
Showing the 200 most cited of 746.