let Al be QC-alphabet ; for A being non empty set
for v being Element of Valuations_in (Al,A)
for S being Element of CQC-Sub-WFF Al holds Val_S (v,S) = Val_S (v,(Sub_not S))
let A be non empty set ; for v being Element of Valuations_in (Al,A)
for S being Element of CQC-Sub-WFF Al holds Val_S (v,S) = Val_S (v,(Sub_not S))
let v be Element of Valuations_in (Al,A); for S being Element of CQC-Sub-WFF Al holds Val_S (v,S) = Val_S (v,(Sub_not S))
let S be Element of CQC-Sub-WFF Al; Val_S (v,S) = Val_S (v,(Sub_not S))
Sub_not S = [('not' (S `1)),(S `2)]
by SUBSTUT1:def 20;
hence
Val_S (v,S) = Val_S (v,(Sub_not S))
; verum