Certificate for #5856 ⟨a, b, c | ab=a, bac=bc⟩

Back:⟨a, b, c | ab=a, bac=bc⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] bac=bc

Axiom: bac=bc.

Defines rule #3.

Referenced by [3].

[3] aac=ac

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

a b bac

Critical pair: abc=aac.

Reduce LHS:

[1](ab)c
⇒ ac

Flip LHS and RHS.

Defines rule #2.