Certificate for #3521 ⟨a, b, c | bb=ac, acb=c⟩

Completion settings:

[1] ac=bb

Axiom: bb=ac.

Flip LHS and RHS.

Referenced by [2], [3].

[2] c=bbb

Axiom: acb=c.

Reduce LHS:

[1](ac)b
⇒ bbb

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] abbb=bb

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

a c c

Critical pair: abbb=bb.

Defines rule #1.