Certificate for #2875 ⟨a, b, c | aab=a, bac=b⟩

Completion settings:

[1] aab=a

Axiom: aab=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] aab=a with [2] bac=b:

aa b bac

Critical pair: aab=aac.

Reduce LHS:

[1](aab)
⇒ a

Flip LHS and RHS.

Defines rule #2.