% Mizar problem: e2_1_1_1_1,setfam_1,45,53 
include('Axioms/SET010^0.ax').
thf(c1_1_type,type,( c1_1__setfam_1: $i )).
thf(k3_tarski_type,type,( k3_tarski: $i > $i )).
thf(antisymmetry_r2_hidden,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ A @ B ) => ~ ( r2_hidden @ B @ A ) ) ),file(hidden,r2_hidden)).
thf(dt_k3_tarski,axiom,( $true ),file(tarski,k3_tarski)).
thf(dt_c1_1__setfam_1,axiom,( $true ),file(setfam_1,c1_1__setfam_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(e2_1_1_1_1__setfam_1,conjecture,( ? [A: $i] : ! [B: $i] : ( ( r2_hidden @ B @ A ) <=> ( ( r2_hidden @ B @ ( k3_tarski @ c1_1__setfam_1 ) ) & ! [C: $i] : ( ( r2_hidden @ C @ c1_1__setfam_1 ) => ( r2_hidden @ B @ C ) ) ) ) ),file(setfam_1,e2_1_1_1_1__setfam_1)).
