Certificate for #538 ⟨a, b, c | ba=ac, bc=a⟩

Completion settings:

[1] ba=ac

Axiom: ba=ac.

Referenced by [3].

[2] a=bc

Axiom: bc=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] ba=bcc

Simplify [1] ba=ac.

Reduce RHS:

[2](a)c
⇒ bcc

Referenced by [4].

[4] bcc=bbc

Overlap of [3] ba=bcc with [2] a=bc:

b a a

Critical pair: bbc=bcc.

Flip LHS and RHS.

Defines rule #1.