% Mizar problem: e2_149_1_1,pboole,2087,39 
include('Axioms/SET010^0.ax').
thf(c1_149_type,type,( c1_149__pboole: $i )).
thf(c2_149_type,type,( c2_149__pboole: $i )).
thf(c3_149_type,type,( c3_149__pboole: $i )).
thf(k1_funct_1_type,type,( k1_funct_1: $i > $i > $i )).
thf(k1_zfmisc_1_type,type,( k1_zfmisc_1: $i > $i )).
thf(k2_zfmisc_1_type,type,( k2_zfmisc_1: $i > $i > $i )).
thf(m1_subset_1_type,type,( m1_subset_1: $i > $i > $o )).
thf(v1_funct_1_type,type,( v1_funct_1: $i > $o )).
thf(v1_funct_2_type,type,( v1_funct_2: $i > $i > $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(v5_relat_1_type,type,( v5_relat_1: $i > $i > $o )).
thf(rc6_funct_1,axiom,( ! [A: $i] : ! [B: $i] : ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) & ( v1_funct_1 @ C ) ) ),file(funct_1,rc6_funct_1)).
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_k1_zfmisc_1,axiom,( $true ),file(zfmisc_1,k1_zfmisc_1)).
thf(dt_k2_zfmisc_1,axiom,( $true ),file(zfmisc_1,k2_zfmisc_1)).
thf(dt_m1_subset_1,axiom,( $true ),file(subset_1,m1_subset_1)).
thf(dt_c1_149__pboole,axiom,( $true ),file(pboole,c1_149__pboole)).
thf(dt_c2_149__pboole,axiom,( ( v1_relat_1 @ c2_149__pboole ) & ( v4_relat_1 @ c2_149__pboole @ c1_149__pboole ) & ( v1_funct_1 @ c2_149__pboole ) & ( v1_partfun1 @ c2_149__pboole @ c1_149__pboole ) ),file(pboole,c2_149__pboole)).
thf(dt_c3_149__pboole,axiom,( ( v1_relat_1 @ c3_149__pboole ) & ( v4_relat_1 @ c3_149__pboole @ c1_149__pboole ) & ( v1_funct_1 @ c3_149__pboole ) & ( v1_partfun1 @ c3_149__pboole @ c1_149__pboole ) ),file(pboole,c3_149__pboole)).
thf(cc1_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( v1_relat_1 @ C ) ) ),file(relset_1,cc1_relset_1)).
thf(cc2_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) ) ) ),file(relset_1,cc2_relset_1)).
thf(cc3_funct_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v1_funct_1 @ B ) ) ) ),file(funct_1,cc3_funct_1)).
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(e1_149_1_1__pboole,axiom,( ! [A: $i] : ~ ( ( r2_hidden @ A @ c1_149__pboole ) & ! [B: $i] : ~ ( ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ ( k1_funct_1 @ c2_149__pboole @ A ) @ ( k1_funct_1 @ c3_149__pboole @ A ) ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k1_funct_1 @ c2_149__pboole @ A ) @ ( k1_funct_1 @ c3_149__pboole @ A ) ) ) ) ) ) ),file(pboole,e1_149_1_1__pboole)).
thf(s3_pboole,axiom,( ! [A: $i > $i > $o] : ! [B: $i] : ( ! [C: $i] : ~ ( ( r2_hidden @ C @ B ) & ! [D: $i] : ~ ( A @ C @ D ) ) => ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ B ) & ( v1_funct_1 @ C ) & ( v1_partfun1 @ C @ B ) & ! [D: $i] : ( ( r2_hidden @ D @ B ) => ( A @ D @ ( k1_funct_1 @ C @ D ) ) ) ) ) ),file(pboole,s3_pboole)).
thf(e2_149_1_1__pboole,conjecture,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ c1_149__pboole ) & ( v1_funct_1 @ A ) & ( v1_partfun1 @ A @ c1_149__pboole ) & ! [B: $i] : ( ( r2_hidden @ B @ c1_149__pboole ) => ( ( v1_funct_1 @ ( k1_funct_1 @ A @ B ) ) & ( v1_funct_2 @ ( k1_funct_1 @ A @ B ) @ ( k1_funct_1 @ c2_149__pboole @ B ) @ ( k1_funct_1 @ c3_149__pboole @ B ) ) & ( m1_subset_1 @ ( k1_funct_1 @ A @ B ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k1_funct_1 @ c2_149__pboole @ B ) @ ( k1_funct_1 @ c3_149__pboole @ B ) ) ) ) ) ) ) ),file(pboole,e2_149_1_1__pboole)).
