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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, Function, i, v, vi
from proveit.linear_algebra import VecAdd, VecSum
from proveit.numbers import Interval, eight, one, seven
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, seven)), Function(v, [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}^{7} v\left(i\right)\right) + v\left(8\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: 6
2Operationoperator: 4
operands: 5
3ExprTuple6
4Literal
5ExprTuple7, 8
6Lambdaparameter: 26
body: 9
7Operationoperator: 10
operand: 14
8Operationoperator: 21
operand: 25
9Conditionalvalue: 18
condition: 13
10Literal
11ExprTuple14
12ExprTuple25
13Operationoperator: 23
operands: 15
14Lambdaparameter: 26
body: 16
15ExprTuple26, 17
16Conditionalvalue: 18
condition: 19
17Operationoperator: 28
operands: 20
18Operationoperator: 21
operand: 26
19Operationoperator: 23
operands: 24
20ExprTuple30, 25
21Variable
22ExprTuple26
23Literal
24ExprTuple26, 27
25Literal
26Variable
27Operationoperator: 28
operands: 29
28Literal
29ExprTuple30, 31
30Literal
31Literal