Certificate for #557 ⟨a, b, c | bb=ac, cb=c⟩

Back:⟨a, b, c | bb=ac, cb=c⟩

Completion settings:

[1] ac=bb

Axiom: bb=ac.

Flip LHS and RHS.

Defines rule #1.

Referenced by [3].

[2] cb=c

Axiom: cb=c.

Defines rule #2.

Referenced by [3].

[3] bbb=bb

Overlap of [1] ac=bb with [2] cb=c:

a c cb

Critical pair: ac=bbb.

Reduce LHS:

[1](ac)
⇒ bb

Flip LHS and RHS.

Defines rule #3.