% Mizar problem: s3_xboole_0,xboole_0,320,7 
include('Axioms/SET010^0.ax').
thf(p1_s3_xboole_0_type,type,( p1_s3_xboole_0: $i > $o )).
thf(antisymmetry_r2_hidden,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ A @ B ) => ~ ( r2_hidden @ B @ A ) ) ),file(hidden,r2_hidden)).
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(s3_xboole_0,conjecture,( ! [A: $i] : ! [B: $i] : ( ( ! [C: $i] : ( ( r2_hidden @ C @ A ) <=> ( p1_s3_xboole_0 @ C ) ) & ! [C: $i] : ( ( r2_hidden @ C @ B ) <=> ( p1_s3_xboole_0 @ C ) ) ) => ( = @ A @ B ) ) ),file(xboole_0,s3_xboole_0)).
