logo

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, Function, i, v, vi
from proveit.linear_algebra import VecSum
from proveit.numbers import Interval, eight, nine, one, subtract, two
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)), VecSum(index_or_indices = sub_expr1, summand = Function(v, [subtract(i, one)]), domain = Interval(two, nine)))
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), \sum_{i=2}^{9} v\left(i - 1\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: 29
body: 8
7Lambdaparameter: 29
body: 9
8Conditionalvalue: 10
condition: 11
9Conditionalvalue: 12
condition: 13
10Operationoperator: 16
operand: 29
11Operationoperator: 18
operands: 15
12Operationoperator: 16
operand: 21
13Operationoperator: 18
operands: 19
14ExprTuple29
15ExprTuple29, 20
16Variable
17ExprTuple21
18Literal
19ExprTuple29, 22
20Operationoperator: 26
operands: 23
21Operationoperator: 24
operands: 25
22Operationoperator: 26
operands: 27
23ExprTuple35, 28
24Literal
25ExprTuple29, 30
26Literal
27ExprTuple31, 32
28Literal
29Variable
30Operationoperator: 33
operand: 35
31Literal
32Literal
33Literal
34ExprTuple35
35Literal