% Mizar problem: e3_61_1_2,card_3,1970,20 
include('Axioms/SET010^0.ax').
thf(c1_61_type,type,( c1_61__card_3: $i )).
thf(c1_61_1_2_type,type,( c1_61_1_2__card_3: $i )).
thf(c2_61_1_2_type,type,( c2_61_1_2__card_3: $i )).
thf(k1_funct_1_type,type,( k1_funct_1: $i > $i > $i )).
thf(k9_xtuple_0_type,type,( k9_xtuple_0: $i > $i )).
thf(r1_tarski_type,type,( r1_tarski: $i > $i > $o )).
thf(v1_funct_1_type,type,( v1_funct_1: $i > $o )).
thf(v1_relat_1_type,type,( v1_relat_1: $i > $o )).
thf(reflexivity_r1_tarski,axiom,( ! [A: $i] : ! [B: $i] : ( r1_tarski @ A @ A ) ),file(tarski,r1_tarski)).
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_k9_xtuple_0,axiom,( $true ),file(xtuple_0,k9_xtuple_0)).
thf(dt_c1_61__card_3,axiom,( ( v1_relat_1 @ c1_61__card_3 ) & ( v1_funct_1 @ c1_61__card_3 ) ),file(card_3,c1_61__card_3)).
thf(dt_c1_61_1_2__card_3,axiom,( $true ),file(card_3,c1_61_1_2__card_3)).
thf(dt_c2_61_1_2__card_3,axiom,( $true ),file(card_3,c2_61_1_2__card_3)).
thf(rc1_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ),file(funct_1,rc1_funct_1)).
thf(e1_61_1_2__card_3,axiom,( ! [A: $i] : ( ( r2_hidden @ A @ c1_61_1_2__card_3 ) <=> ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( = @ A @ B ) & ( r1_tarski @ ( k9_xtuple_0 @ B ) @ ( k9_xtuple_0 @ c1_61__card_3 ) ) & ! [C: $i] : ( ( r2_hidden @ C @ ( k9_xtuple_0 @ B ) ) => ( r2_hidden @ ( k1_funct_1 @ B @ C ) @ ( k1_funct_1 @ c1_61__card_3 @ C ) ) ) ) ) ),file(card_3,e1_61_1_2__card_3)).
thf(e2_61_1_2__card_3,axiom,( ! [A: $i] : ( ( r2_hidden @ A @ c2_61_1_2__card_3 ) <=> ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( = @ A @ B ) & ( r1_tarski @ ( k9_xtuple_0 @ B ) @ ( k9_xtuple_0 @ c1_61__card_3 ) ) & ! [C: $i] : ( ( r2_hidden @ C @ ( k9_xtuple_0 @ B ) ) => ( r2_hidden @ ( k1_funct_1 @ B @ C ) @ ( k1_funct_1 @ c1_61__card_3 @ C ) ) ) ) ) ),file(card_3,e2_61_1_2__card_3)).
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_61_1_2__card_3,conjecture,( = @ c1_61_1_2__card_3 @ c2_61_1_2__card_3 ),file(card_3,e3_61_1_2__card_3)).
