% Mizar problem: e24_8,wellset1,1244,43 
include('Axioms/SET010^0.ax').
thf(c2_8_type,type,( c2_8__wellset1: $i )).
thf(c5_8_type,type,( c5_8__wellset1: $i )).
thf(c7_8_type,type,( c7_8__wellset1: $i )).
thf(k1_funct_1_type,type,( k1_funct_1: $i > $i > $i )).
thf(k2_zfmisc_1_type,type,( k2_zfmisc_1: $i > $i > $i )).
thf(k4_tarski_type,type,( k4_tarski: $i > $i > $i )).
thf(v1_funct_1_type,type,( v1_funct_1: $i > $o )).
thf(v1_relat_1_type,type,( v1_relat_1: $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_k1_funct_1,axiom,( $true ),file(funct_1,k1_funct_1)).
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_c2_8__wellset1,axiom,( $true ),file(wellset1,c2_8__wellset1)).
thf(dt_c5_8__wellset1,axiom,( v1_relat_1 @ c5_8__wellset1 ),file(wellset1,c5_8__wellset1)).
thf(dt_c7_8__wellset1,axiom,( ( v1_relat_1 @ c7_8__wellset1 ) & ( v1_funct_1 @ c7_8__wellset1 ) ),file(wellset1,c7_8__wellset1)).
thf(fc6_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( v1_relat_1 @ ( k2_zfmisc_1 @ A @ B ) ) ),file(relat_1,fc6_relat_1)).
thf(rc1_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ),file(funct_1,rc1_funct_1)).
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(e24_8__wellset1,conjecture,( ? [A: $i] : ! [B: $i] : ( ( r2_hidden @ B @ A ) <=> ( ( r2_hidden @ B @ ( k2_zfmisc_1 @ c2_8__wellset1 @ c2_8__wellset1 ) ) & ? [C: $i] : ? [D: $i] : ( ( = @ B @ ( k4_tarski @ C @ D ) ) & ( r2_hidden @ ( k4_tarski @ ( k1_funct_1 @ c7_8__wellset1 @ C ) @ ( k1_funct_1 @ c7_8__wellset1 @ D ) ) @ c5_8__wellset1 ) ) ) ) ),file(wellset1,e24_8__wellset1)).
