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, beta, gamma, i, x, y
from proveit.linear_algebra import ScalarMult, TensorProd
from proveit.numbers import Add, Mult, one

# build up the expression from sub-expressions
sub_expr1 = Add(i, one)
sub_expr2 = TensorProd(x, y)
expr = ExprTuple(ScalarMult(ScalarMult(gamma, i), ScalarMult(beta, ScalarMult(sub_expr1, sub_expr2))), ScalarMult(Mult(gamma, i, beta, sub_expr1), 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(\left(\gamma \cdot i\right) \cdot \left(\beta \cdot \left(\left(i + 1\right) \cdot \left(x {\otimes} y\right)\right)\right), \left(\gamma \cdot i \cdot \beta \cdot \left(i + 1\right)\right) \cdot \left(x {\otimes} 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: 15 operands: 3
2	Operation	operator: 15 operands: 4
3	ExprTuple	5, 6
4	ExprTuple	7, 18
5	Operation	operator: 15 operands: 8
6	Operation	operator: 15 operands: 9
7	Operation	operator: 10 operands: 11
8	ExprTuple	13, 23
9	ExprTuple	14, 12
10	Literal
11	ExprTuple	13, 23, 14, 17
12	Operation	operator: 15 operands: 16
13	Variable
14	Variable
15	Literal
16	ExprTuple	17, 18
17	Operation	operator: 19 operands: 20
18	Operation	operator: 21 operands: 22
19	Literal
20	ExprTuple	23, 24
21	Literal
22	ExprTuple	25, 26
23	Variable
24	Literal
25	Variable
26	Variable