% Mizar problem: e3_18_1_2,funct_6,572,21 
include('Axioms/SET010^0.ax').
thf(c1_18_type,type,( c1_18__funct_6: $i )).
thf(c1_18_1_2_type,type,( c1_18_1_2__funct_6: $i )).
thf(c2_18_1_2_type,type,( c2_18_1_2__funct_6: $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_c1_18__funct_6,axiom,( $true ),file(funct_6,c1_18__funct_6)).
thf(dt_c1_18_1_2__funct_6,axiom,( $true ),file(funct_6,c1_18_1_2__funct_6)).
thf(dt_c2_18_1_2__funct_6,axiom,( $true ),file(funct_6,c2_18_1_2__funct_6)).
thf(rc1_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ),file(funct_1,rc1_funct_1)).
thf(e1_18_1_2__funct_6,axiom,( ! [A: $i] : ( ( r2_hidden @ A @ c1_18_1_2__funct_6 ) <=> ( ( r2_hidden @ A @ c1_18__funct_6 ) & ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ) ),file(funct_6,e1_18_1_2__funct_6)).
thf(e2_18_1_2__funct_6,axiom,( ! [A: $i] : ( ( r2_hidden @ A @ c2_18_1_2__funct_6 ) <=> ( ( r2_hidden @ A @ c1_18__funct_6 ) & ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ) ),file(funct_6,e2_18_1_2__funct_6)).
thf(s2_xboole_0,axiom,( ! [A: $i] : ! [B: $i > $o] : ! [C: $i] : ( ( ! [D: $i] : ( ( r2_hidden @ D @ C ) <=> ( B @ D ) ) & ! [D: $i] : ( ( r2_hidden @ D @ A ) <=> ( B @ D ) ) ) => ( = @ C @ A ) ) ),file(xboole_0,s2_xboole_0)).
thf(e3_18_1_2__funct_6,conjecture,( = @ c1_18_1_2__funct_6 @ c2_18_1_2__funct_6 ),file(funct_6,e3_18_1_2__funct_6)).
