% Mizar problem: e1_74_1_1,cohsp_1,1784,8 
include('Axioms/SET010^0.ax').
thf(c1_74_type,type,( c1_74__cohsp_1: $i )).
thf(k1_funct_1_type,type,( k1_funct_1: $i > $i > $i )).
thf(k2_zfmisc_1_type,type,( k2_zfmisc_1: $i > $i > $i )).
thf(k3_card_3_type,type,( k3_card_3: $i > $i )).
thf(k4_tarski_type,type,( k4_tarski: $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(v1_xtuple_0_type,type,( v1_xtuple_0: $i > $o )).
thf(rc1_xtuple_0,axiom,( ? [A: $i] : ( v1_xtuple_0 @ A ) ),file(xtuple_0,rc1_xtuple_0)).
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_k2_zfmisc_1,axiom,( $true ),file(zfmisc_1,k2_zfmisc_1)).
thf(dt_k3_card_3,axiom,( $true ),file(card_3,k3_card_3)).
thf(dt_k4_tarski,axiom,( $true ),file(tarski,k4_tarski)).
thf(dt_k9_xtuple_0,axiom,( $true ),file(xtuple_0,k9_xtuple_0)).
thf(dt_c1_74__cohsp_1,axiom,( ( v1_relat_1 @ c1_74__cohsp_1 ) & ( v1_funct_1 @ c1_74__cohsp_1 ) ),file(cohsp_1,c1_74__cohsp_1)).
thf(fc1_xtuple_0,axiom,( ! [A: $i] : ! [B: $i] : ( v1_xtuple_0 @ ( k4_tarski @ A @ B ) ) ),file(xtuple_0,fc1_xtuple_0)).
thf(fc6_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( v1_relat_1 @ ( k2_zfmisc_1 @ A @ B ) ) ),file(relat_1,fc6_relat_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(e1_74_1_1__cohsp_1,conjecture,( ? [A: $i] : ! [B: $i] : ( ( r2_hidden @ B @ A ) <=> ( ( r2_hidden @ B @ ( k2_zfmisc_1 @ ( k9_xtuple_0 @ c1_74__cohsp_1 ) @ ( k3_card_3 @ c1_74__cohsp_1 ) ) ) & ? [C: $i] : ? [D: $i] : ( ( = @ B @ ( k4_tarski @ C @ D ) ) & ( r2_hidden @ C @ ( k9_xtuple_0 @ c1_74__cohsp_1 ) ) & ( r2_hidden @ D @ ( k1_funct_1 @ c1_74__cohsp_1 @ C ) ) & ! [E: $i] : ( ( ( r2_hidden @ E @ ( k9_xtuple_0 @ c1_74__cohsp_1 ) ) & ( r1_tarski @ E @ C ) & ( r2_hidden @ D @ ( k1_funct_1 @ c1_74__cohsp_1 @ E ) ) ) => ( = @ C @ E ) ) ) ) ) ),file(cohsp_1,e1_74_1_1__cohsp_1)).
