Certificate for #559 ⟨a, b, c | bb=ac, cc=b⟩

Completion settings:

[1] bb=ac

Axiom: bb=ac.

Referenced by [3].

[2] b=cc

Axiom: cc=b.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] ac=cccc

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

bb b

Critical pair: ccb=ac.

Reduce LHS:

[2]cc(b)
⇒ cccc

Flip LHS and RHS.

Defines rule #1.