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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, u, y, z
from proveit.linear_algebra import TensorProd
from proveit.logic import Equals
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Equals(y, u).with_wrapping_at(2), Equals(TensorProd(z, y), TensorProd(z, u)).with_wrapping_at(2))
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(\begin{array}{c} \begin{array}{l} y =  \\ u \end{array} \end{array}, \begin{array}{c} \begin{array}{l} \left(z {\otimes} y\right) =  \\ \left(z {\otimes} u\right) \end{array} \end{array}\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
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple11, 13
4Literal
5ExprTuple6, 7
6Operationoperator: 9
operands: 8
7Operationoperator: 9
operands: 10
8ExprTuple12, 11
9Literal
10ExprTuple12, 13
11Variable
12Variable
13Variable