Certificate for #965 ⟨a, b, c | ab=a, bac=b⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] bac=b

Axiom: bac=b.

Defines rule #3.

Referenced by [3].

[3] aac=a

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

a b bac

Critical pair: ab=aac.

Reduce LHS:

[1](ab)
⇒ a

Flip LHS and RHS.

Defines rule #2.