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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, a, b, i, x
from proveit.numbers import Add, Interval, Mult, Neg, Sum, one
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Sum(index_or_indices = [i], summand = x, domain = Interval(a, b)), Mult(Add(b, Neg(a), one), x))
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 = a}^{b} x, \left(b - a + 1\right) \cdot x\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, 13
7Lambdaparameter: 21
body: 10
8Operationoperator: 11
operands: 12
9ExprTuple21
10Conditionalvalue: 13
condition: 14
11Literal
12ExprTuple26, 15, 16
13Variable
14Operationoperator: 17
operands: 18
15Operationoperator: 19
operand: 25
16Literal
17Literal
18ExprTuple21, 22
19Literal
20ExprTuple25
21Variable
22Operationoperator: 23
operands: 24
23Literal
24ExprTuple25, 26
25Variable
26Variable