import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import Conditional, Lambda, beta, gamma, i
from proveit.logic import Equals, Forall, Implies, InSet
from proveit.numbers import Add, Interval, Mult, four, one, two
# build up the expression from sub-expressions
sub_expr1 = Mult(gamma, beta)
sub_expr2 = Add(i, one)
sub_expr3 = Interval(two, four)
sub_expr4 = Mult(sub_expr1, i, sub_expr2)
sub_expr5 = InSet(i, sub_expr3)
sub_expr6 = Mult(sub_expr1, Mult(i, sub_expr2))
expr = Implies(Forall(instance_param_or_params = [i], instance_expr = Equals(sub_expr4, sub_expr6), domain = sub_expr3), Equals(Lambda(i, Conditional(sub_expr4, sub_expr5)), Lambda(i, Conditional(sub_expr6, sub_expr5))).with_wrapping_at(2)).with_wrapping_at(2)
# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
stored_expr.style_options()
# display the expression information
stored_expr.expr_info()