def given(expr, condition=None, **kwargs):
 if ((not random_symbols(condition)) or pspace_independent(expr, condition)):
  return expr
 if isinstance(condition, RandomSymbol):
  condition = Eq(condition, condition.symbol)
 condsymbols = random_symbols(condition)
 if (isinstance(condition, Equality) and (len(condsymbols) == 1) and (not isinstance(pspace(expr).domain, ConditionalDomain))):
  rv = tuple(condsymbols)[0]
  results = solveset(condition, rv)
  if (isinstance(results, Intersection) and (S.Reals in results.args)):
   results = list(results.args[1])
  return sum((expr.subs(rv, res) for res in results))
 fullspace = pspace(Tuple(expr, condition))
 space = fullspace.conditional_space(condition, **kwargs)
 swapdict = rs_swap(fullspace.values, space.values)
 expr = expr.xreplace(swapdict)
 return expr

def given ( expr , condition = None , ** kwargs ) : if ( ( not random_symbols ( condition ) ) or pspace_independent ( expr , condition ) ) : return expr if isinstance ( condition , RandomSymbol ) : condition = Eq ( condition , condition . symbol ) condsymbols = random_symbols ( condition ) if ( isinstance ( condition , Equality ) and ( len ( condsymbols ) == 1 ) and ( not isinstance ( pspace ( expr ) . domain , ConditionalDomain ) ) ) : rv = tuple ( condsymbols ) [ 0 ] results = solveset ( condition , rv ) if ( isinstance ( results , Intersection ) and ( S . Reals in results . args ) ) : results = list ( results . args [ 1 ] ) return sum ( ( expr . subs ( rv , res ) for res in results ) ) fullspace = pspace ( Tuple ( expr , condition ) ) space = fullspace . conditional_space ( condition , ** kwargs ) swapdict = rs_swap ( fullspace . values , space . values ) expr = expr . xreplace ( swapdict ) return expr
conditional random expression from a random expression and a condition on that expression creates a new probability space from the condition and returns the same expression on that conditional probability space .