Certificate for #2888 ⟨a, b, c | aab=a, bcc=b⟩

Completion settings:

[1] aab=a

Axiom: aab=a.

Defines rule #1.

Referenced by [3].

[2] bcc=b

Axiom: bcc=b.

Defines rule #3.

Referenced by [3].

[3] acc=a

Overlap of [1] aab=a with [2] bcc=b:

aa b bcc

Critical pair: aab=acc.

Reduce LHS:

[1](aab)
⇒ a

Flip LHS and RHS.

Defines rule #2.