Certificate for #6045 ⟨a, b, c | ab=c, acb=bc⟩

Completion settings:

[1] c=ab

Axiom: ab=c.

Flip LHS and RHS.

Defines rule #2.

Referenced by [2].

[2] aabb=bab

Axiom: acb=bc.

Reduce LHS:

[1]a(c)b
⇒ aabb

Reduce RHS:

[1]b(c)
⇒ bab

Defines rule #1.