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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, Function, a, b, f, fx, x
from proveit.numbers import Interval, Neg, 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)), Sum(index_or_indices = sub_expr1, summand = Function(f, [Neg(x)]), domain = Interval(Neg(b), Neg(a))))
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), \sum_{x = -b}^{-a} f\left(-x\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: 4
operand: 6
2Operationoperator: 4
operand: 7
3ExprTuple6
4Literal
5ExprTuple7
6Lambdaparameter: 26
body: 8
7Lambdaparameter: 26
body: 9
8Conditionalvalue: 10
condition: 11
9Conditionalvalue: 12
condition: 13
10Operationoperator: 15
operand: 26
11Operationoperator: 17
operands: 14
12Operationoperator: 15
operand: 20
13Operationoperator: 17
operands: 18
14ExprTuple26, 19
15Variable
16ExprTuple20
17Literal
18ExprTuple26, 21
19Operationoperator: 24
operands: 22
20Operationoperator: 30
operand: 26
21Operationoperator: 24
operands: 25
22ExprTuple33, 32
23ExprTuple26
24Literal
25ExprTuple27, 28
26Variable
27Operationoperator: 30
operand: 32
28Operationoperator: 30
operand: 33
29ExprTuple32
30Literal
31ExprTuple33
32Variable
33Variable