let p, q be Element of MC-wff ; :: thesis: p => (q => p) is valid_IPC
p => (q => p) in IPC-Taut

proof

IPC-Taut is IPC_theory ;
hence p => (q => p) in IPC-Taut ; :: thesis: verum

end;

hence p => (q => p) is valid_IPC ; :: thesis: verum