Certificate for #5892 ⟨a, b, c | ab=a, bcb=bb⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] bcb=bb

Axiom: bcb=bb.

Defines rule #3.

Referenced by [3].

[3] acb=a

Overlap of [1] ab=a with [2] bcb=bb:

a b bcb

Critical pair: abb=acb.

Reduce LHS:

[1](ab)b
[1]⇒ (ab)
⇒ a

Flip LHS and RHS.

Defines rule #2.