% Mizar problem: e1_154_1_1,pboole,2161,53 
include('Axioms/SET010^0.ax').
thf(c1_154_type,type,( c1_154__pboole: $i )).
thf(c2_154_type,type,( c2_154__pboole: $i )).
thf(c3_154_type,type,( c3_154__pboole: $i )).
thf(k1_funct_1_type,type,( k1_funct_1: $i > $i > $i )).
thf(k2_zfmisc_1_type,type,( k2_zfmisc_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_partfun1_type,type,( v1_partfun1: $i > $i > $o )).
thf(v1_relat_1_type,type,( v1_relat_1: $i > $o )).
thf(v4_relat_1_type,type,( v4_relat_1: $i > $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_zfmisc_1,axiom,( $true ),file(zfmisc_1,k2_zfmisc_1)).
thf(dt_k9_xtuple_0,axiom,( $true ),file(xtuple_0,k9_xtuple_0)).
thf(dt_c1_154__pboole,axiom,( $true ),file(pboole,c1_154__pboole)).
thf(dt_c2_154__pboole,axiom,( ( v1_relat_1 @ c2_154__pboole ) & ( v4_relat_1 @ c2_154__pboole @ c1_154__pboole ) & ( v1_funct_1 @ c2_154__pboole ) & ( v1_partfun1 @ c2_154__pboole @ c1_154__pboole ) ),file(pboole,c2_154__pboole)).
thf(dt_c3_154__pboole,axiom,( ( v1_relat_1 @ c3_154__pboole ) & ( v4_relat_1 @ c3_154__pboole @ c1_154__pboole ) & ( v1_funct_1 @ c3_154__pboole ) & ( v1_partfun1 @ c3_154__pboole @ c1_154__pboole ) ),file(pboole,c3_154__pboole)).
thf(rc1_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ),file(funct_1,rc1_funct_1)).
thf(rc1_pboole,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ),file(pboole,rc1_pboole)).
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_154_1_1__pboole,conjecture,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( = @ ( k9_xtuple_0 @ A ) @ c1_154__pboole ) & ! [B: $i] : ( ( r2_hidden @ B @ c1_154__pboole ) => ( = @ ( k1_funct_1 @ A @ B ) @ ( k2_zfmisc_1 @ ( k1_funct_1 @ c2_154__pboole @ B ) @ ( k1_funct_1 @ c3_154__pboole @ B ) ) ) ) ) ),file(pboole,e1_154_1_1__pboole)).
