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Expression of type ExprTuple

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, ExprTuple, x
from proveit.core_expr_types import A_1_to_m
from proveit.logic import And
In [2]:
# build up the expression from sub-expressions
sub_expr1 = And(A_1_to_m)
expr = ExprTuple(Conditional(x, And(sub_expr1, And())), Conditional(x, sub_expr1))
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(x \textrm{ if } A_{1} \land  A_{2} \land  \ldots \land  A_{m} ,  \left[\land\right]\left(\right), x \textrm{ if } A_{1} \land  A_{2} \land  \ldots \land  A_{m}\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 2
1Conditionalvalue: 4
condition: 3
2Conditionalvalue: 4
condition: 6
3Operationoperator: 9
operands: 5
4Variable
5ExprTuple6, 7
6Operationoperator: 9
operands: 8
7Operationoperator: 9
operands: 10
8ExprTuple11
9Literal
10ExprTuple
11ExprRangelambda_map: 12
start_index: 13
end_index: 14
12Lambdaparameter: 18
body: 15
13Literal
14Variable
15IndexedVarvariable: 16
index: 18
16Variable
17ExprTuple18
18Variable