Expression of type ExprTuple

from the theory of proveit.linear_algebra.tensors

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, alpha, u, v, w, x, y
from proveit.linear_algebra import ScalarMult, TensorProd

# build up the expression from sub-expressions
sub_expr1 = ScalarMult(a, w)
sub_expr2 = ScalarMult(alpha, y)
expr = ExprTuple(TensorProd(u, TensorProd(v, sub_expr1, x, sub_expr2)), TensorProd(u, v, sub_expr1, x, sub_expr2))

expr:

# 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

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\left(u {\otimes} \left(v {\otimes} \left(a \cdot w\right) {\otimes} x {\otimes} \left(\alpha \cdot y\right)\right), u {\otimes} v {\otimes} \left(a \cdot w\right) {\otimes} x {\otimes} \left(\alpha \cdot y\right)\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2
1	Operation	operator: 7 operands: 3
2	Operation	operator: 7 operands: 4
3	ExprTuple	6, 5
4	ExprTuple	6, 9, 10, 11, 12
5	Operation	operator: 7 operands: 8
6	Variable
7	Literal
8	ExprTuple	9, 10, 11, 12
9	Variable
10	Operation	operator: 14 operands: 13
11	Variable
12	Operation	operator: 14 operands: 15
13	ExprTuple	16, 17
14	Literal
15	ExprTuple	18, 19
16	Variable
17	Variable
18	Variable
19	Variable