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, u, x, y, z
from proveit.linear_algebra import TensorProd
from proveit.logic import Equals

# build up the expression from sub-expressions
expr = ExprTuple(Equals(TensorProd(x, y, z), TensorProd(x, u, z)).with_wrapping_at(2), Equals(TensorProd(y, z), TensorProd(u, z)).with_wrapping_at(2))

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(\begin{array}{c} \begin{array}{l} \left(x {\otimes} y {\otimes} z\right) =  \\ \left(x {\otimes} u {\otimes} z\right) \end{array} \end{array}, \begin{array}{c} \begin{array}{l} \left(y {\otimes} z\right) =  \\ \left(u {\otimes} z\right) \end{array} \end{array}\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, 7
4	Literal
5	ExprTuple	8, 9
6	Operation	operator: 13 operands: 10
7	Operation	operator: 13 operands: 11
8	Operation	operator: 13 operands: 12
9	Operation	operator: 13 operands: 14
10	ExprTuple	15, 16, 18
11	ExprTuple	15, 17, 18
12	ExprTuple	16, 18
13	Literal
14	ExprTuple	17, 18
15	Variable
16	Variable
17	Variable
18	Variable