Certificate for #5940 ⟨a, b, c | ab=a, cba=cb⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] cba=cb

Axiom: cba=cb.

Defines rule #2.

Referenced by [3].

[3] cbb=cb

Overlap of [2] cba=cb with [1] ab=a:

cb a ab

Critical pair: cba=cbb.

Reduce LHS:

[2](cba)
⇒ cb

Flip LHS and RHS.

Defines rule #3.