% Mizar problem: e1_31_1,toler_1,708,55 
include('Axioms/SET010^0.ax').
thf(f1_s1_toler_1_type,type,( f1_s1_toler_1: $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_s1_toler_1_type,type,( p1_s1_toler_1: $i > $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_k2_zfmisc_1,axiom,( $true ),file(zfmisc_1,k2_zfmisc_1)).
thf(dt_k4_tarski,axiom,( $true ),file(tarski,k4_tarski)).
thf(dt_f1_s1_toler_1,axiom,( $true ),file(toler_1,f1_s1_toler_1)).
thf(fc6_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( v1_relat_1 @ ( k2_zfmisc_1 @ A @ B ) ) ),file(relat_1,fc6_relat_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(e1_31_1__toler_1,conjecture,( ? [A: $i] : ! [B: $i] : ( ( r2_hidden @ B @ A ) <=> ( ( r2_hidden @ B @ ( k2_zfmisc_1 @ f1_s1_toler_1 @ f1_s1_toler_1 ) ) & ? [C: $i] : ? [D: $i] : ( ( = @ B @ ( k4_tarski @ C @ D ) ) & ( p1_s1_toler_1 @ C @ D ) ) ) ) ),file(toler_1,e1_31_1__toler_1)).
