% Mizar problem: e1_45_1,msualg_6,1716,53 
include('Axioms/SET010^0.ax').
thf(f1_s3_msualg_6_type,type,( f1_s3_msualg_6: $i )).
thf(f3_s3_msualg_6_type,type,( f3_s3_msualg_6: $i > $i )).
thf(k1_funct_1_type,type,( k1_funct_1: $i > $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_f1_s3_msualg_6,axiom,( $true ),file(msualg_6,f1_s3_msualg_6)).
thf(dt_f3_s3_msualg_6,axiom,( $true ),file(msualg_6,f3_s3_msualg_6)).
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(s4_pboole,axiom,( ! [A: $i > $i] : ! [B: $i] : ? [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 ) => ( = @ ( k1_funct_1 @ C @ D ) @ ( A @ D ) ) ) ) ),file(pboole,s4_pboole)).
thf(e1_45_1__msualg_6,conjecture,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ f1_s3_msualg_6 ) & ( v1_funct_1 @ A ) & ( v1_partfun1 @ A @ f1_s3_msualg_6 ) & ! [B: $i] : ( ( r2_hidden @ B @ f1_s3_msualg_6 ) => ( = @ ( k1_funct_1 @ A @ B ) @ ( f3_s3_msualg_6 @ B ) ) ) ) ),file(msualg_6,e1_45_1__msualg_6)).
