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In [1]:
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, alpha
from proveit.core_expr_types import P__x_1_to_n, Q__x_1_to_n
from proveit.logic import Implies
In [2]:
# build up the expression from sub-expressions
expr = Conditional(Implies(P__x_1_to_n, alpha), Q__x_1_to_n)
expr:
In [3]:
# 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")
Passed sanity check: expr matches stored_expr
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left\{P\left(x_{1}, x_{2}, \ldots, x_{n}\right) \Rightarrow \alpha \textrm{ if } Q\left(x_{1}, x_{2}, \ldots, x_{n}\right)\right..
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
condition_delimiter'comma' or 'and'commacomma('with_comma_delimiter', 'with_conjunction_delimiter')
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Conditionalvalue: 1
condition: 2
1Operationoperator: 3
operands: 4
2Operationoperator: 5
operands: 9
3Literal
4ExprTuple6, 7
5Variable
6Operationoperator: 8
operands: 9
7Variable
8Variable
9ExprTuple10
10ExprRangelambda_map: 11
start_index: 12
end_index: 13
11Lambdaparameter: 17
body: 14
12Literal
13Variable
14IndexedVarvariable: 15
index: 17
15Variable
16ExprTuple17
17Variable