% Mizar problem: e2_148_1_1,pboole,2062,77 
include('Axioms/SET010^0.ax').
thf(c1_148_type,type,( c1_148__pboole: $i )).
thf(c2_148_type,type,( c2_148__pboole: $i )).
thf(k1_funct_1_type,type,( k1_funct_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_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_m1_subset_1,axiom,( $true ),file(subset_1,m1_subset_1)).
thf(dt_c1_148__pboole,axiom,( $true ),file(pboole,c1_148__pboole)).
thf(dt_c2_148__pboole,axiom,( ( v1_relat_1 @ c2_148__pboole ) & ( v4_relat_1 @ c2_148__pboole @ c1_148__pboole ) & ( v1_funct_1 @ c2_148__pboole ) & ( v1_partfun1 @ c2_148__pboole @ c1_148__pboole ) ),file(pboole,c2_148__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(e1_148_1_1__pboole,axiom,( ! [A: $i] : ~ ( ( r2_hidden @ A @ c1_148__pboole ) & ! [B: $i] : ~ ( m1_subset_1 @ B @ ( k1_funct_1 @ c2_148__pboole @ A ) ) ) ),file(pboole,e1_148_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_148_1_1__pboole,conjecture,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ c1_148__pboole ) & ( v1_funct_1 @ A ) & ( v1_partfun1 @ A @ c1_148__pboole ) & ! [B: $i] : ( ( r2_hidden @ B @ c1_148__pboole ) => ( m1_subset_1 @ ( k1_funct_1 @ A @ B ) @ ( k1_funct_1 @ c2_148__pboole @ B ) ) ) ) ),file(pboole,e2_148_1_1__pboole)).
