% Mizar problem: e10_52,funct_6,1675,6 
include('Axioms/SET010^0.ax').
thf(c2_52_type,type,( c2_52__funct_6: $i )).
thf(c3_52_type,type,( c3_52__funct_6: $i )).
thf(k1_funct_1_type,type,( k1_funct_1: $i > $i > $i )).
thf(k2_funct_1_type,type,( k2_funct_1: $i > $i )).
thf(k3_relat_1_type,type,( k3_relat_1: $i > $i > $i )).
thf(k4_card_3_type,type,( k4_card_3: $i > $i )).
thf(k9_xtuple_0_type,type,( k9_xtuple_0: $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_funct_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ( ( v1_relat_1 @ ( k2_funct_1 @ A ) ) & ( v1_funct_1 @ ( k2_funct_1 @ A ) ) ) ) ),file(funct_1,k2_funct_1)).
thf(dt_k3_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) ),file(relat_1,k3_relat_1)).
thf(dt_k4_card_3,axiom,( $true ),file(card_3,k4_card_3)).
thf(dt_k9_xtuple_0,axiom,( $true ),file(xtuple_0,k9_xtuple_0)).
thf(dt_c2_52__funct_6,axiom,( ( v1_relat_1 @ c2_52__funct_6 ) & ( v1_funct_1 @ c2_52__funct_6 ) ),file(funct_6,c2_52__funct_6)).
thf(dt_c3_52__funct_6,axiom,( ( v1_relat_1 @ c3_52__funct_6 ) & ( v1_funct_1 @ c3_52__funct_6 ) ),file(funct_6,c3_52__funct_6)).
thf(fc2_funct_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) & ( v1_funct_1 @ ( k3_relat_1 @ A @ B ) ) ) ) ),file(funct_1,fc2_funct_1)).
thf(rc1_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ),file(funct_1,rc1_funct_1)).
thf(e9_52__funct_6,axiom,( ! [A: $i] : ~ ( ( r2_hidden @ A @ ( k4_card_3 @ ( k3_relat_1 @ c2_52__funct_6 @ c3_52__funct_6 ) ) ) & ! [B: $i] : ~ ( ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v1_funct_1 @ C ) & ( = @ A @ C ) & ( = @ B @ ( k3_relat_1 @ ( k2_funct_1 @ c2_52__funct_6 ) @ C ) ) ) ) ) ),file(funct_6,e9_52__funct_6)).
thf(s1_classes1,axiom,( ! [A: $i > $i > $o] : ! [B: $i] : ( ! [C: $i] : ~ ( ( r2_hidden @ C @ B ) & ! [D: $i] : ~ ( A @ C @ D ) ) => ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v1_funct_1 @ C ) & ( = @ ( k9_xtuple_0 @ C ) @ B ) & ! [D: $i] : ( ( r2_hidden @ D @ B ) => ( A @ D @ ( k1_funct_1 @ C @ D ) ) ) ) ) ),file(classes1,s1_classes1)).
thf(e10_52__funct_6,conjecture,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( = @ ( k9_xtuple_0 @ A ) @ ( k4_card_3 @ ( k3_relat_1 @ c2_52__funct_6 @ c3_52__funct_6 ) ) ) & ! [B: $i] : ( ( r2_hidden @ B @ ( k4_card_3 @ ( k3_relat_1 @ c2_52__funct_6 @ c3_52__funct_6 ) ) ) => ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v1_funct_1 @ C ) & ( = @ B @ C ) & ( = @ ( k1_funct_1 @ A @ B ) @ ( k3_relat_1 @ ( k2_funct_1 @ c2_52__funct_6 ) @ C ) ) ) ) ) ),file(funct_6,e10_52__funct_6)).
