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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, beta, i, x, y
from proveit.linear_algebra import ScalarMult, TensorProd, VecSum
from proveit.numbers import Interval, four, two
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(beta, ScalarMult(beta, TensorProd(x, VecSum(index_or_indices = [i], summand = y, domain = Interval(two, four)))))
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(\beta, \beta \cdot \left(x {\otimes} \left(\sum_{i=2}^{4} y\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
0ExprTuple4, 1
1Operationoperator: 2
operands: 3
2Literal
3ExprTuple4, 5
4Variable
5Operationoperator: 6
operands: 7
6Literal
7ExprTuple8, 9
8Variable
9Operationoperator: 10
operand: 12
10Literal
11ExprTuple12
12Lambdaparameter: 19
body: 14
13ExprTuple19
14Conditionalvalue: 15
condition: 16
15Variable
16Operationoperator: 17
operands: 18
17Literal
18ExprTuple19, 20
19Variable
20Operationoperator: 21
operands: 22
21Literal
22ExprTuple23, 24
23Literal
24Literal