% Mizar problem: e7_37_5_1_1_7_1_1,taxonom2,1827,55 
include('Axioms/SET010^0.ax').
thf(c1_37_5_type,type,( c1_37_5__taxonom2: $i )).
thf(c2_37_5_1_1_7_1_1_type,type,( c2_37_5_1_1_7_1_1__taxonom2: $i )).
thf(r1_xboole_0_type,type,( r1_xboole_0: $i > $i > $o )).
thf(symmetry_r1_xboole_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( r1_xboole_0 @ A @ B ) => ( r1_xboole_0 @ B @ A ) ) ),file(xboole_0,r1_xboole_0)).
thf(antisymmetry_r2_hidden,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ A @ B ) => ~ ( r2_hidden @ B @ A ) ) ),file(hidden,r2_hidden)).
thf(dt_c1_37_5__taxonom2,axiom,( $true ),file(taxonom2,c1_37_5__taxonom2)).
thf(dt_c2_37_5_1_1_7_1_1__taxonom2,axiom,( $true ),file(taxonom2,c2_37_5_1_1_7_1_1__taxonom2)).
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(e7_37_5_1_1_7_1_1__taxonom2,conjecture,( ? [A: $i] : ! [B: $i] : ( ( r2_hidden @ B @ A ) <=> ( ( r2_hidden @ B @ c2_37_5_1_1_7_1_1__taxonom2 ) & ( r1_xboole_0 @ B @ c1_37_5__taxonom2 ) ) ) ),file(taxonom2,e7_37_5_1_1_7_1_1__taxonom2)).
