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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, gamma, i, x, y, z
from proveit.linear_algebra import TensorProd, VecSum
from proveit.numbers import Interval, four, two
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(gamma, TensorProd(x, y, VecSum(index_or_indices = [i], summand = fi, domain = Interval(two, four)), z))
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(\gamma, x {\otimes} y {\otimes} \left(\sum_{i=2}^{4} f\left(i\right)\right) {\otimes} z\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
1Variable
2Operationoperator: 3
operands: 4
3Literal
4ExprTuple5, 6, 7, 8
5Variable
6Variable
7Operationoperator: 9
operand: 11
8Variable
9Literal
10ExprTuple11
11Lambdaparameter: 19
body: 12
12Conditionalvalue: 13
condition: 14
13Operationoperator: 15
operand: 19
14Operationoperator: 17
operands: 18
15Variable
16ExprTuple19
17Literal
18ExprTuple19, 20
19Variable
20Operationoperator: 21
operands: 22
21Literal
22ExprTuple23, 24
23Literal
24Literal