Certificate for #5392 ⟨a, b, c | ab=a, bcbc=a⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] bcbc=a

Axiom: bcbc=a.

Defines rule #3.

Referenced by [3].

[3] ac=bca

Overlap of [2] bcbc=a with [2] bcbc=a:

bc bc bcbc

Critical pair: bca=abc.

Reduce RHS:

[1](ab)c
⇒ ac

Flip LHS and RHS.

Defines rule #2.