Certificate for #5450 ⟨a, b, c | ab=a, cbca=b⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] cbca=b

Axiom: cbca=b.

Defines rule #3.

Referenced by [3].

[3] bb=b

Overlap of [2] cbca=b with [1] ab=a:

cbc a ab

Critical pair: cbca=bb.

Reduce LHS:

[2](cbca)
⇒ b

Flip LHS and RHS.

Defines rule #2.