Certificate for #526 ⟨a, b, c | ac=ab, bc=a⟩

Completion settings:

[1] ac=ab

Axiom: ac=ab.

Referenced by [3].

[2] a=bc

Axiom: bc=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] ac=bcb

Simplify [1] ac=ab.

Reduce RHS:

[2](a)b
⇒ bcb

Referenced by [4].

[4] bcc=bcb

Overlap of [3] ac=bcb with [2] a=bc:

ac a

Critical pair: bcc=bcb.

Defines rule #1.