Certificate for #560 ⟨a, b, c | bb=ac, cc=c⟩

Back:⟨a, b, c | bb=ac, cc=c⟩

Completion settings:

[1] ac=bb

Axiom: bb=ac.

Flip LHS and RHS.

Defines rule #1.

Referenced by [3].

[2] cc=c

Axiom: cc=c.

Defines rule #2.

Referenced by [3].

[3] bbc=bb

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

a c cc

Critical pair: ac=bbc.

Reduce LHS:

[1](ac)
⇒ bb

Flip LHS and RHS.

Defines rule #3.