logo

Expression of type Conditional

from the theory of proveit.core_expr_types.conditionals

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, R, a
from proveit.core_expr_types import Q_1_to_m
from proveit.logic import And
In [2]:
# build up the expression from sub-expressions
expr = Conditional(a, And(And(Q_1_to_m), R))
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\{a \textrm{ if } Q_{1} \land  Q_{2} \land  \ldots \land  Q_{m} ,  R\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
1Variable
2Operationoperator: 6
operands: 3
3ExprTuple4, 5
4Operationoperator: 6
operands: 7
5Variable
6Literal
7ExprTuple8
8ExprRangelambda_map: 9
start_index: 10
end_index: 11
9Lambdaparameter: 15
body: 12
10Literal
11Variable
12IndexedVarvariable: 13
index: 15
13Variable
14ExprTuple15
15Variable