% Mizar problem: e1_16_1,scheme1,1401,47 
include('Axioms/SET010^0.ax').
thf(f1_s12_scheme1_type,type,( f1_s12_scheme1: $i )).
thf(p1_s12_scheme1_type,type,( p1_s12_scheme1: $i > $o )).
thf(p2_s12_scheme1_type,type,( p2_s12_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_s12_scheme1,axiom,( $true ),file(scheme1,f1_s12_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_16_1__scheme1,conjecture,( ? [A: $i] : ! [B: $i] : ( ( r2_hidden @ B @ A ) <=> ( ( r2_hidden @ B @ f1_s12_scheme1 ) & ( ( p1_s12_scheme1 @ B ) | ( p2_s12_scheme1 @ B ) ) ) ) ),file(scheme1,e1_16_1__scheme1)).
