% Mizar problem: e1_24_2_1,aofa_000,495,59 
include('Axioms/SET010^0.ax').
thf(c1_24_type,type,( c1_24__aofa_000: $i )).
thf(c2_24_type,type,( c2_24__aofa_000: $i )).
thf(k5_aofa_000_type,type,( k5_aofa_000: $i > $i > $i )).
thf(k9_xtuple_0_type,type,( k9_xtuple_0: $i > $i )).
thf(r1_tarski_type,type,( r1_tarski: $i > $i > $o )).
thf(v1_funct_1_type,type,( v1_funct_1: $i > $o )).
thf(v1_relat_1_type,type,( v1_relat_1: $i > $o )).
thf(reflexivity_r1_tarski,axiom,( ! [A: $i] : ! [B: $i] : ( r1_tarski @ A @ A ) ),file(tarski,r1_tarski)).
thf(antisymmetry_r2_hidden,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ A @ B ) => ~ ( r2_hidden @ B @ A ) ) ),file(hidden,r2_hidden)).
thf(dt_k5_aofa_000,axiom,( $true ),file(aofa_000,k5_aofa_000)).
thf(dt_k9_xtuple_0,axiom,( $true ),file(xtuple_0,k9_xtuple_0)).
thf(dt_c1_24__aofa_000,axiom,( ( v1_relat_1 @ c1_24__aofa_000 ) & ( v1_funct_1 @ c1_24__aofa_000 ) ),file(aofa_000,c1_24__aofa_000)).
thf(dt_c2_24__aofa_000,axiom,( $true ),file(aofa_000,c2_24__aofa_000)).
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(e1_24_2_1__aofa_000,conjecture,( ? [A: $i] : ! [B: $i] : ( ( r2_hidden @ B @ A ) <=> ( ( r2_hidden @ B @ ( k9_xtuple_0 @ c1_24__aofa_000 ) ) & ( r1_tarski @ ( k5_aofa_000 @ c1_24__aofa_000 @ B ) @ c2_24__aofa_000 ) ) ) ),file(aofa_000,e1_24_2_1__aofa_000)).
