Certificate for #3507 ⟨a, b, c | bb=ac, aac=c⟩

Completion settings:

[1] ac=bb

Axiom: bb=ac.

Flip LHS and RHS.

Referenced by [2], [3].

[2] c=abb

Axiom: aac=c.

Reduce LHS:

[1]a(ac)
⇒ abb

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] aabb=bb

Overlap of [1] ac=bb with [2] c=abb:

a c c

Critical pair: aabb=bb.

Defines rule #1.