Certificate for #2805 ⟨a, b, c | aaa=a, abc=c⟩

Completion settings:

[1] aaa=a

Axiom: aaa=a.

Defines rule #1.

Referenced by [3].

[2] abc=c

Axiom: abc=c.

Defines rule #3.

Referenced by [3].

[3] aac=c

Overlap of [1] aaa=a with [2] abc=c:

aa a abc

Critical pair: aac=abc.

Reduce RHS:

[2](abc)
⇒ c

Defines rule #2.