Certificate for #898 ⟨a, b, c | aa=a, bcb=a⟩

Completion settings:

[1] aa=a

Axiom: aa=a.

Referenced by [3].

[2] a=bcb

Axiom: bcb=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] aa=bcb

Simplify [1] aa=a.

Reduce RHS:

[2](a)
⇒ bcb

Referenced by [4].

[4] bcbbcb=bcb

Overlap of [3] aa=bcb with [2] a=bcb:

aa a

Critical pair: bcba=bcb.

Reduce LHS:

[2]bcb(a)
⇒ bcbbcb

Defines rule #1.