Certificate for #5964 ⟨a, b, c | ab=a, cca=bb⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] cca=bb

Axiom: cca=bb.

Defines rule #3.

Referenced by [3].

[3] bbb=bb

Overlap of [2] cca=bb with [1] ab=a:

cc a ab

Critical pair: cca=bbb.

Reduce LHS:

[2](cca)
⇒ bb

Flip LHS and RHS.

Defines rule #2.