Certificate for #5482 ⟨a, b, c | ab=a, cccc=a⟩

Completion settings:

Reduction order:
- Left-to-right recursive path with deg(b) = deg(c) = 0, b < c; deg(a) = 1

Axiom: ab=a.

Referenced by [3].

Axiom: cccc=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

Simplify [1] ab=a.

Reduce RHS:

[2]	(a)
	⇒ cccc

Referenced by [4].

ab a

Critical pair: ccccb=cccc.

Defines rule #1.