Certificate for #4861 ⟨a, b, c | ab=a, bbbac=1⟩

Back:⟨a, b, c | ab=a, bbbac=1⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] bbbac=1

Axiom: bbbac=1.

Defines rule #3.

Referenced by [3].

[3] aac=a

Overlap of [1] ab=a with [2] bbbac=1:

a b bbbac

Critical pair: a=abbac.

Reduce RHS:

[1](ab)bac
[1]⇒ (ab)ac
⇒ aac

Flip LHS and RHS.

Defines rule #2.