A2: 0 <= len f by NAT_1:2;
A3: 0 + 1 <= len f by A1, A2, NAT_1:13;
A4: len f in Seg (len f) by A3, FINSEQ_1:3;
A5: Seg (len f) = dom f by FINSEQ_1:def 3;
A6: f . (len f) in rng f by A4, A5, FUNCT_1:def 5;
A7: rng f c= [:CQC-WFF ,Proof_Step_Kinds :] by FINSEQ_1:def 4;
thus (f . (len f)) `1 is Element of CQC-WFF by A6, A7, MCART_1:10; :: thesis: verum