% Mizar problem: e1_55_1_1,waybel26,2061,8 
include('Axioms/SET010^0.ax').
thf(c1_55_type,type,( c1_55__waybel26: $i )).
thf(c2_55_type,type,( c2_55__waybel26: $i )).
thf(k1_funct_1_type,type,( k1_funct_1: $i > $i > $i )).
thf(k9_relat_1_type,type,( k9_relat_1: $i > $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_k9_relat_1,axiom,( $true ),file(relat_1,k9_relat_1)).
thf(dt_k9_xtuple_0,axiom,( $true ),file(xtuple_0,k9_xtuple_0)).
thf(dt_c1_55__waybel26,axiom,( v1_relat_1 @ c1_55__waybel26 ),file(waybel26,c1_55__waybel26)).
thf(dt_c2_55__waybel26,axiom,( $true ),file(waybel26,c2_55__waybel26)).
thf(rc1_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ),file(funct_1,rc1_funct_1)).
thf(s3_funct_1,axiom,( ! [A: $i > $i] : ! [B: $i] : ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v1_funct_1 @ C ) & ( = @ ( k9_xtuple_0 @ C ) @ B ) & ! [D: $i] : ( ( r2_hidden @ D @ B ) => ( = @ ( k1_funct_1 @ C @ D ) @ ( A @ D ) ) ) ) ),file(funct_1,s3_funct_1)).
thf(e1_55_1_1__waybel26,conjecture,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( = @ ( k9_xtuple_0 @ A ) @ c2_55__waybel26 ) & ! [B: $i] : ( ( r2_hidden @ B @ c2_55__waybel26 ) => ( = @ ( k1_funct_1 @ A @ B ) @ ( k9_relat_1 @ c1_55__waybel26 @ B ) ) ) ) ),file(waybel26,e1_55_1_1__waybel26)).
