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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, a, u, v, w, x, y, z
from proveit.linear_algebra import ScalarMult, TensorProd
In [2]:
# build up the expression from sub-expressions
sub_expr1 = ScalarMult(a, v)
expr = ExprTuple(TensorProd(u, sub_expr1, w, z), TensorProd(u, sub_expr1, x, z), TensorProd(u, sub_expr1, y, 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(u {\otimes} \left(a \cdot v\right) {\otimes} w {\otimes} z, u {\otimes} \left(a \cdot v\right) {\otimes} x {\otimes} z, u {\otimes} \left(a \cdot v\right) {\otimes} y {\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, 3
1Operationoperator: 6
operands: 4
2Operationoperator: 6
operands: 5
3Operationoperator: 6
operands: 7
4ExprTuple10, 11, 8, 13
5ExprTuple10, 11, 9, 13
6Literal
7ExprTuple10, 11, 12, 13
8Variable
9Variable
10Variable
11Operationoperator: 14
operands: 15
12Variable
13Variable
14Literal
15ExprTuple16, 17
16Variable
17Variable