Certificate for #5156 ⟨a, b, c | aa=a, bccb=a⟩

Completion settings:

[1] aa=a

Axiom: aa=a.

Referenced by [3].

[2] a=bccb

Axiom: bccb=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] aa=bccb

Simplify [1] aa=a.

Reduce RHS:

[2](a)
⇒ bccb

Referenced by [4].

[4] bccbbccb=bccb

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

aa a

Critical pair: bccba=bccb.

Reduce LHS:

[2]bccb(a)
⇒ bccbbccb

Defines rule #1.