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Expression of type ExprTuple

from the theory of proveit.linear_algebra.addition

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, i, vi
from proveit.linear_algebra import VecAdd, VecSum
from proveit.numbers import Interval, eight, five, four, one
In [2]:
# build up the expression from sub-expressions
sub_expr1 = [i]
expr = ExprTuple(VecSum(index_or_indices = sub_expr1, summand = vi, domain = Interval(one, eight)), VecAdd(VecSum(index_or_indices = sub_expr1, summand = vi, domain = Interval(one, four)), VecSum(index_or_indices = sub_expr1, summand = vi, domain = Interval(five, eight))))
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=1}^{8} v\left(i\right), \left(\sum_{i=1}^{4} v\left(i\right)\right) + \left(\sum_{i=5}^{8} v\left(i\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: 11
operand: 6
2Operationoperator: 4
operands: 5
3ExprTuple6
4Literal
5ExprTuple7, 8
6Lambdaparameter: 30
body: 9
7Operationoperator: 11
operand: 14
8Operationoperator: 11
operand: 15
9Conditionalvalue: 21
condition: 13
10ExprTuple14
11Literal
12ExprTuple15
13Operationoperator: 27
operands: 16
14Lambdaparameter: 30
body: 17
15Lambdaparameter: 30
body: 18
16ExprTuple30, 19
17Conditionalvalue: 21
condition: 20
18Conditionalvalue: 21
condition: 22
19Operationoperator: 33
operands: 23
20Operationoperator: 27
operands: 24
21Operationoperator: 25
operand: 30
22Operationoperator: 27
operands: 28
23ExprTuple35, 38
24ExprTuple30, 29
25Variable
26ExprTuple30
27Literal
28ExprTuple30, 31
29Operationoperator: 33
operands: 32
30Variable
31Operationoperator: 33
operands: 34
32ExprTuple35, 36
33Literal
34ExprTuple37, 38
35Literal
36Literal
37Literal
38Literal