% Mizar problem: e1_17_1,scheme1,1480,47 
include('Axioms/SET010^0.ax').
thf(f1_s13_scheme1_type,type,( f1_s13_scheme1: $i )).
thf(p1_s13_scheme1_type,type,( p1_s13_scheme1: $i > $o )).
thf(p2_s13_scheme1_type,type,( p2_s13_scheme1: $i > $o )).
thf(p3_s13_scheme1_type,type,( p3_s13_scheme1: $i > $o )).
thf(antisymmetry_r2_hidden,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ A @ B ) => ~ ( r2_hidden @ B @ A ) ) ),file(hidden,r2_hidden)).
thf(dt_f1_s13_scheme1,axiom,( $true ),file(scheme1,f1_s13_scheme1)).
thf(s1_xboole_0,axiom,( ! [A: $i > $o] : ! [B: $i] : ? [C: $i] : ! [D: $i] : ( ( r2_hidden @ D @ C ) <=> ( ( r2_hidden @ D @ B ) & ( A @ D ) ) ) ),file(xboole_0,s1_xboole_0)).
thf(e1_17_1__scheme1,conjecture,( ? [A: $i] : ! [B: $i] : ( ( r2_hidden @ B @ A ) <=> ( ( r2_hidden @ B @ f1_s13_scheme1 ) & ~ ( ~ ( p1_s13_scheme1 @ B ) & ~ ( p2_s13_scheme1 @ B ) & ~ ( p3_s13_scheme1 @ B ) ) ) ) ),file(scheme1,e1_17_1__scheme1)).
