Certificate for #4871 ⟨a, b, c | ab=a, bbcbc=1⟩

Back:⟨a, b, c | ab=a, bbcbc=1⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] bbcbc=1

Axiom: bbcbc=1.

Defines rule #3.

Referenced by [3].

[3] acbc=a

Overlap of [1] ab=a with [2] bbcbc=1:

a b bbcbc

Critical pair: a=abcbc.

Reduce RHS:

[1](ab)cbc
⇒ acbc

Flip LHS and RHS.

Defines rule #2.