% Mizar problem: e4_20,card_1,429,33 
include('Axioms/SET010^0.ax').
thf(c1_20_type,type,( c1_20__card_1: $i )).
thf(c2_20_type,type,( c2_20__card_1: $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_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_k1_funct_1,axiom,( $true ),file(funct_1,k1_funct_1)).
thf(dt_c1_20__card_1,axiom,( $true ),file(card_1,c1_20__card_1)).
thf(dt_c2_20__card_1,axiom,( ( v1_relat_1 @ c2_20__card_1 ) & ( v1_funct_1 @ c2_20__card_1 ) ),file(card_1,c2_20__card_1)).
thf(rc1_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ),file(funct_1,rc1_funct_1)).
thf(s1_xboole_0,axiom,( ! [A: $i > $o] : ! [B: $i] : ? [C: $i] : ! [D: $i] : ( ( r2_hidden @ D @ C ) <=> ( ( r2_hidden @ D @ B ) & ( A @ D ) ) ) ),file(xboole_0,s1_xboole_0)).
thf(e4_20__card_1,conjecture,( ? [A: $i] : ! [B: $i] : ( ( r2_hidden @ B @ A ) <=> ( ( r2_hidden @ B @ c1_20__card_1 ) & ! [C: $i] : ~ ( ( = @ C @ ( k1_funct_1 @ c2_20__card_1 @ B ) ) & ( r2_hidden @ B @ C ) ) ) ) ),file(card_1,e4_20__card_1)).
