Certificate for #152 ⟨a, b, c | ab=a, bc=b⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] bc=b

Axiom: bc=b.

Defines rule #3.

Referenced by [3].

[3] ac=a

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

a b bc

Critical pair: ab=ac.

Reduce LHS:

[1](ab)
⇒ a

Flip LHS and RHS.

Defines rule #2.