Certificate for #1001 ⟨a, b, c | ab=a, cca=c⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] cca=c

Axiom: cca=c.

Defines rule #3.

Referenced by [3].

[3] cb=c

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

cc a ab

Critical pair: cca=cb.

Reduce LHS:

[2](cca)
⇒ c

Flip LHS and RHS.

Defines rule #2.