let X be Subset of ; :: thesis: for p being Element of MC-wff holds FALSUM => p in CnIPC X
let p be Element of MC-wff ; :: thesis: FALSUM => p in CnIPC X
for T being Subset of st T is IPC_theory & X c= T holds
FALSUM => p in T by Def14;
hence FALSUM => p in CnIPC X by Def15; :: thesis: verum