9. Below is the state space of abstract model of FTP (20 pt) axioms: axm0_1: \\( n>0 \\) \\( \\operatorname{axm02} 2: f \\in 1 . . n \ ightarrow D \\) axm0_3: BOOLEAN \\( =\\{ \\) TRUE, FALSE \\( \\} \\) final when \\( b=F A L S E \\) then \\( g:=f \\) \\( b:= \\) TRUE invariants: inv0_1a: \\( g \\in 1 \\ldots n \ ightarrow D \\) inv0_1b: \\( b \\in \\) BOOLEAN end inv0_2: \\( b=F A L S E \\Rightarrow g=\\varnothing \\) inv0_3: \\( b= \\) TRUE \\( \\Rightarrow g=f \\) Write two sequents final/inv0_2/INV and final/inv0_3/INV Proof both of them