% Mizar problem: e1_33_1_1,xtuple_0,397,57 
include('Axioms/SET010^0.ax').
thf(c1_33_type,type,( c1_33__xtuple_0: $i )).
thf(k3_tarski_type,type,( k3_tarski: $i > $i )).
thf(k4_tarski_type,type,( k4_tarski: $i > $i > $i )).
thf(v1_xtuple_0_type,type,( v1_xtuple_0: $i > $o )).
thf(rc1_xtuple_0,axiom,( ? [A: $i] : ( v1_xtuple_0 @ A ) ),file(xtuple_0,rc1_xtuple_0)).
thf(antisymmetry_r2_hidden,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ A @ B ) => ~ ( r2_hidden @ B @ A ) ) ),file(hidden,r2_hidden)).
thf(dt_k3_tarski,axiom,( $true ),file(tarski,k3_tarski)).
thf(dt_k4_tarski,axiom,( $true ),file(tarski,k4_tarski)).
thf(dt_c1_33__xtuple_0,axiom,( $true ),file(xtuple_0,c1_33__xtuple_0)).
thf(fc1_xtuple_0,axiom,( ! [A: $i] : ! [B: $i] : ( v1_xtuple_0 @ ( k4_tarski @ A @ B ) ) ),file(xtuple_0,fc1_xtuple_0)).
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_33_1_1__xtuple_0,conjecture,( ? [A: $i] : ! [B: $i] : ( ( r2_hidden @ B @ A ) <=> ( ( r2_hidden @ B @ ( k3_tarski @ ( k3_tarski @ c1_33__xtuple_0 ) ) ) & ? [C: $i] : ( r2_hidden @ ( k4_tarski @ B @ C ) @ c1_33__xtuple_0 ) ) ) ),file(xtuple_0,e1_33_1_1__xtuple_0)).
