Certificate for #3410 ⟨a, b, c | ac=ab, bcc=a⟩

Completion settings:

[1] ac=ab

Axiom: ac=ab.

Referenced by [3].

[2] a=bcc

Axiom: bcc=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] ac=bccb

Simplify [1] ac=ab.

Reduce RHS:

[2](a)b
⇒ bccb

Referenced by [4].

[4] bccc=bccb

Overlap of [3] ac=bccb with [2] a=bcc:

ac a

Critical pair: bccc=bccb.

Defines rule #1.