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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, fa, fx, x
from proveit.numbers import Add, Integrate, Interval, IntervalCC, Sum
In [2]:
# build up the expression from sub-expressions
sub_expr1 = [x]
expr = ExprTuple(Sum(index_or_indices = sub_expr1, summand = fx, domain = Interval(a, b)), Add(fa, Integrate(index_or_indices = sub_expr1, integrand = fx, domain = IntervalCC(a, 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(\sum_{x = a}^{b} f\left(x\right), f\left(a\right) + \left(\int_{a}^{b} f\left(x\right)\,dx\right)\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: 26
body: 10
8Operationoperator: 22
operand: 30
9Operationoperator: 12
operand: 15
10Conditionalvalue: 19
condition: 14
11ExprTuple30
12Literal
13ExprTuple15
14Operationoperator: 24
operands: 16
15Lambdaparameter: 26
body: 17
16ExprTuple26, 18
17Conditionalvalue: 19
condition: 20
18Operationoperator: 21
operands: 29
19Operationoperator: 22
operand: 26
20Operationoperator: 24
operands: 25
21Literal
22Variable
23ExprTuple26
24Literal
25ExprTuple26, 27
26Variable
27Operationoperator: 28
operands: 29
28Literal
29ExprTuple30, 31
30Variable
31Variable