Certificate for #5657 ⟨a, b, c | aa=a, bcb=ac⟩

Completion settings:

[1] aa=a

Axiom: aa=a.

Defines rule #1.

Referenced by [3].

[2] ac=bcb

Axiom: bcb=ac.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] abcb=bcb

Overlap of [1] aa=a with [2] ac=bcb:

a a ac

Critical pair: abcb=ac.

Reduce RHS:

[2](ac)
⇒ bcb

Defines rule #3.