Certificate for #7132 ⟨a, b, c | aa=1, aabb=cc⟩

Completion settings:

[1] aa=1

Axiom: aa=1.

Defines rule #1.

Referenced by [2].

[2] cc=bb

Axiom: aabb=cc.

Reduce LHS:

[1](aa)bb
⇒ bb

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] cbb=bbc

Overlap of [2] cc=bb with [2] cc=bb:

c c cc

Critical pair: cbb=bbc.

Defines rule #3.