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Expression of type ExprTuple

from the theory of proveit.numbers.summation

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 ExprTuple, i
from proveit.numbers import Exp, Interval, Neg, Sum, five, frac, one, six, subtract, two
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Sum(index_or_indices = [i], summand = Exp(two, i), domain = Interval(one, five)), frac(subtract(two, Exp(two, six)), Neg(one)))
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(\sum_{i = 1}^{5} 2^{i}, \frac{2 - 2^{6}}{-1}\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
1Operationoperator: 3
operand: 7
2Operationoperator: 5
operands: 6
3Literal
4ExprTuple7
5Literal
6ExprTuple8, 9
7Lambdaparameter: 23
body: 11
8Operationoperator: 12
operands: 13
9Operationoperator: 21
operand: 30
10ExprTuple23
11Conditionalvalue: 15
condition: 16
12Literal
13ExprTuple32, 17
14ExprTuple30
15Operationoperator: 28
operands: 18
16Operationoperator: 19
operands: 20
17Operationoperator: 21
operand: 25
18ExprTuple32, 23
19Literal
20ExprTuple23, 24
21Literal
22ExprTuple25
23Variable
24Operationoperator: 26
operands: 27
25Operationoperator: 28
operands: 29
26Literal
27ExprTuple30, 31
28Literal
29ExprTuple32, 33
30Literal
31Literal
32Literal
33Literal