Certificate for #5902 ⟨a, b, c | ab=a, bcc=bc⟩

Back:⟨a, b, c | ab=a, bcc=bc⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] bcc=bc

Axiom: bcc=bc.

Defines rule #3.

Referenced by [3].

[3] acc=ac

Overlap of [1] ab=a with [2] bcc=bc:

a b bcc

Critical pair: abc=acc.

Reduce LHS:

[1](ab)c
⇒ ac

Flip LHS and RHS.

Defines rule #2.