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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, c, fx, x
from proveit.numbers import Add, Interval, Sum, one
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 = fx, domain = Interval(Add(b, one), c)))
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 + 1}^{c} 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: 19
body: 8
7Lambdaparameter: 19
body: 9
8Conditionalvalue: 11
condition: 10
9Conditionalvalue: 11
condition: 12
10Operationoperator: 16
operands: 13
11Operationoperator: 14
operand: 19
12Operationoperator: 16
operands: 17
13ExprTuple19, 18
14Variable
15ExprTuple19
16Literal
17ExprTuple19, 20
18Operationoperator: 22
operands: 21
19Variable
20Operationoperator: 22
operands: 23
21ExprTuple24, 29
22Literal
23ExprTuple25, 26
24Variable
25Operationoperator: 27
operands: 28
26Variable
27Literal
28ExprTuple29, 30
29Variable
30Literal