% Mizar problem: e1_45_1,trees_2,1166,35 
include('Axioms/SET010^0.ax').
thf(f1_s5_trees_2_type,type,( f1_s5_trees_2: $i )).
thf(p1_s5_trees_2_type,type,( p1_s5_trees_2: $i > $o )).
thf(antisymmetry_r2_hidden,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ A @ B ) => ~ ( r2_hidden @ B @ A ) ) ),file(hidden,r2_hidden)).
thf(dt_f1_s5_trees_2,axiom,( $true ),file(trees_2,f1_s5_trees_2)).
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_45_1__trees_2,conjecture,( ? [A: $i] : ! [B: $i] : ( ( r2_hidden @ B @ A ) <=> ( ( r2_hidden @ B @ f1_s5_trees_2 ) & ( p1_s5_trees_2 @ B ) ) ) ),file(trees_2,e1_45_1__trees_2)).
