Expression of type ExprTuple

from the theory of proveit.linear_algebra.addition

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, v, w, x, y, z
from proveit.linear_algebra import TensorProd, VecAdd

# build up the expression from sub-expressions
sub_expr1 = TensorProd(x, TensorProd(y, z))
sub_expr2 = TensorProd(x, TensorProd(y, w))
expr = ExprTuple(VecAdd(sub_expr1, sub_expr2, TensorProd(x, y, v)), VecAdd(sub_expr1, sub_expr2, TensorProd(x, TensorProd(y, v))))

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(\left(x {\otimes} \left(y {\otimes} z\right)\right) + \left(x {\otimes} \left(y {\otimes} w\right)\right) + \left(x {\otimes} y {\otimes} v\right), \left(x {\otimes} \left(y {\otimes} z\right)\right) + \left(x {\otimes} \left(y {\otimes} w\right)\right) + \left(x {\otimes} \left(y {\otimes} v\right)\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: 4 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	7, 8, 6
4	Literal
5	ExprTuple	7, 8, 9
6	Operation	operator: 20 operands: 10
7	Operation	operator: 20 operands: 11
8	Operation	operator: 20 operands: 12
9	Operation	operator: 20 operands: 13
10	ExprTuple	16, 24, 25
11	ExprTuple	16, 14
12	ExprTuple	16, 15
13	ExprTuple	16, 17
14	Operation	operator: 20 operands: 18
15	Operation	operator: 20 operands: 19
16	Variable
17	Operation	operator: 20 operands: 21
18	ExprTuple	24, 22
19	ExprTuple	24, 23
20	Literal
21	ExprTuple	24, 25
22	Variable
23	Variable
24	Variable
25	Variable