logo

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 B, 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
expr = ExprTuple(Conditional(x, And(And(A_1_to_m), B)), Conditional(x, And(A_1_to_m, B)))
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} ,  B, x \textrm{ if } A_{1} ,  A_{2} ,  \ldots ,  A_{m} ,  B\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: 5
3Operationoperator: 10
operands: 6
4Variable
5Operationoperator: 10
operands: 7
6ExprTuple8, 9
7ExprTuple12, 9
8Operationoperator: 10
operands: 11
9Variable
10Literal
11ExprTuple12
12ExprRangelambda_map: 13
start_index: 14
end_index: 15
13Lambdaparameter: 19
body: 16
14Literal
15Variable
16IndexedVarvariable: 17
index: 19
17Variable
18ExprTuple19
19Variable