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Expression of type ExprTuple

from the theory of proveit.linear_algebra.tensors

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, fi, i, x
from proveit.linear_algebra import TensorProd, VecSum
from proveit.numbers import Interval, four, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = [i]
sub_expr2 = Interval(two, four)
expr = ExprTuple(VecSum(index_or_indices = sub_expr1, summand = TensorProd(x, fi), domain = sub_expr2), TensorProd(x, VecSum(index_or_indices = sub_expr1, summand = fi, domain = sub_expr2)))
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=2}^{4} \left(x {\otimes} f\left(i\right)\right), x {\otimes} \left(\sum_{i=2}^{4} f\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: 8
operand: 5
2Operationoperator: 12
operands: 4
3ExprTuple5
4ExprTuple15, 6
5Lambdaparameter: 22
body: 7
6Operationoperator: 8
operand: 11
7Conditionalvalue: 10
condition: 17
8Literal
9ExprTuple11
10Operationoperator: 12
operands: 13
11Lambdaparameter: 22
body: 14
12Literal
13ExprTuple15, 16
14Conditionalvalue: 16
condition: 17
15Variable
16Operationoperator: 18
operand: 22
17Operationoperator: 20
operands: 21
18Variable
19ExprTuple22
20Literal
21ExprTuple22, 23
22Variable
23Operationoperator: 24
operands: 25
24Literal
25ExprTuple26, 27
26Literal
27Literal