logo

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, 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)), Add(fa, Sum(index_or_indices = sub_expr1, summand = fx, domain = Interval(Add(a, one), 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(\sum_{x = a + 1}^{b} f\left(x\right)\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: 10
operand: 5
2Operationoperator: 30
operands: 4
3ExprTuple5
4ExprTuple6, 7
5Lambdaparameter: 24
body: 8
6Operationoperator: 20
operand: 32
7Operationoperator: 10
operand: 13
8Conditionalvalue: 17
condition: 12
9ExprTuple32
10Literal
11ExprTuple13
12Operationoperator: 22
operands: 14
13Lambdaparameter: 24
body: 15
14ExprTuple24, 16
15Conditionalvalue: 17
condition: 18
16Operationoperator: 26
operands: 19
17Operationoperator: 20
operand: 24
18Operationoperator: 22
operands: 23
19ExprTuple32, 29
20Variable
21ExprTuple24
22Literal
23ExprTuple24, 25
24Variable
25Operationoperator: 26
operands: 27
26Literal
27ExprTuple28, 29
28Operationoperator: 30
operands: 31
29Variable
30Literal
31ExprTuple32, 33
32Variable
33Literal