Certificate for #1062 ⟨a, b, c | ab=c, bb=ab⟩

Completion settings:

[1] c=ab

Axiom: ab=c.

Flip LHS and RHS.

Referenced by [3].

[2] ab=bb

Axiom: bb=ab.

Flip LHS and RHS.

Defines rule #1.

Referenced by [3].

[3] c=bb

Simplify [1] c=ab.

Reduce RHS:

[2](ab)
⇒ bb

Defines rule #2.