% Mizar problem: e5_15,wellord1,262,39 
include('Axioms/SET010^0.ax').
thf(c1_15_type,type,( c1_15__wellord1: $i )).
thf(c2_15_type,type,( c2_15__wellord1: $i )).
thf(k1_relat_1_type,type,( k1_relat_1: $i > $i )).
thf(k4_tarski_type,type,( k4_tarski: $i > $i > $i )).
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_relat_1,axiom,( $true ),file(relat_1,k1_relat_1)).
thf(dt_k4_tarski,axiom,( $true ),file(tarski,k4_tarski)).
thf(dt_c1_15__wellord1,axiom,( v1_relat_1 @ c1_15__wellord1 ),file(wellord1,c1_15__wellord1)).
thf(dt_c2_15__wellord1,axiom,( $true ),file(wellord1,c2_15__wellord1)).
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(e5_15__wellord1,conjecture,( ? [A: $i] : ! [B: $i] : ( ( r2_hidden @ B @ A ) <=> ( ( r2_hidden @ B @ ( k1_relat_1 @ c1_15__wellord1 ) ) & ~ ( r2_hidden @ ( k4_tarski @ B @ c2_15__wellord1 ) @ c1_15__wellord1 ) ) ) ),file(wellord1,e5_15__wellord1)).
