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 ExprRange, ExprTuple, IndexedVar, Variable, x
from proveit.linear_algebra import TensorProd
from proveit.numbers import one, three, two

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(TensorProd(ExprRange(sub_expr1, IndexedVar(x, sub_expr1), one, three)), TensorProd(IndexedVar(x, one), IndexedVar(x, two), IndexedVar(x, three)))

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(x_{1} {\otimes}  x_{2} {\otimes}  \ldots {\otimes}  x_{3}, x_{1} {\otimes} x_{2} {\otimes} x_{3}\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	6
4	Literal
5	ExprTuple	7, 8, 9
6	ExprRange	lambda_map: 10 start_index: 15 end_index: 17
7	IndexedVar	variable: 18 index: 15
8	IndexedVar	variable: 18 index: 16
9	IndexedVar	variable: 18 index: 17
10	Lambda	parameter: 20 body: 14
11	ExprTuple	15
12	ExprTuple	16
13	ExprTuple	17
14	IndexedVar	variable: 18 index: 20
15	Literal
16	Literal
17	Literal
18	Variable
19	ExprTuple	20
20	Variable