Certificate for #895 ⟨a, b, c | aa=a, bbc=a⟩

Completion settings:

[1] aa=a

Axiom: aa=a.

Referenced by [3].

[2] a=bbc

Axiom: bbc=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] aa=bbc

Simplify [1] aa=a.

Reduce RHS:

[2](a)
⇒ bbc

Referenced by [4].

[4] bbcbbc=bbc

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

aa a

Critical pair: bbca=bbc.

Reduce LHS:

[2]bbc(a)
⇒ bbcbbc

Defines rule #1.