% Mizar problem: e1_21_1,scheme1,1918,55 
include('Axioms/SET010^0.ax').
thf(f1_s17_scheme1_type,type,( f1_s17_scheme1: $i )).
thf(f2_s17_scheme1_type,type,( f2_s17_scheme1: $i )).
thf(k2_zfmisc_1_type,type,( k2_zfmisc_1: $i > $i > $i )).
thf(k4_tarski_type,type,( k4_tarski: $i > $i > $i )).
thf(p1_s17_scheme1_type,type,( p1_s17_scheme1: $i > $i > $o )).
thf(p2_s17_scheme1_type,type,( p2_s17_scheme1: $i > $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_k2_zfmisc_1,axiom,( $true ),file(zfmisc_1,k2_zfmisc_1)).
thf(dt_k4_tarski,axiom,( $true ),file(tarski,k4_tarski)).
thf(dt_f1_s17_scheme1,axiom,( $true ),file(scheme1,f1_s17_scheme1)).
thf(dt_f2_s17_scheme1,axiom,( $true ),file(scheme1,f2_s17_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_21_1__scheme1,conjecture,( ? [A: $i] : ! [B: $i] : ( ( r2_hidden @ B @ A ) <=> ( ( r2_hidden @ B @ ( k2_zfmisc_1 @ f1_s17_scheme1 @ f2_s17_scheme1 ) ) & ! [C: $i] : ! [D: $i] : ~ ( ( = @ B @ ( k4_tarski @ C @ D ) ) & ~ ( p1_s17_scheme1 @ C @ D ) & ~ ( p2_s17_scheme1 @ C @ D ) ) ) ) ),file(scheme1,e1_21_1__scheme1)).
