Certificate for #530 ⟨a, b, c | ba=ab, bc=a⟩

Completion settings:

[1] ba=ab

Axiom: ba=ab.

Referenced by [3].

[2] a=bc

Axiom: bc=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] ba=bcb

Simplify [1] ba=ab.

Reduce RHS:

[2](a)b
⇒ bcb

Referenced by [4].

[4] bbc=bcb

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

b a a

Critical pair: bbc=bcb.

Defines rule #1.