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, fi, i, z
from proveit.linear_algebra import TensorProd, VecSum
from proveit.numbers import Interval, four, two

# build up the expression from sub-expressions
sub_expr1 = [i]
sub_expr2 = Interval(two, four)
expr = ExprTuple(TensorProd(z, VecSum(index_or_indices = sub_expr1, summand = fi, domain = sub_expr2)), VecSum(index_or_indices = sub_expr1, summand = TensorProd(z, fi), domain = 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(z {\otimes} \left(\sum_{i=2}^{4} f\left(i\right)\right), \sum_{i=2}^{4} \left(z {\otimes} f\left(i\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: 13 operands: 3
2	Operation	operator: 7 operand: 6
3	ExprTuple	16, 5
4	ExprTuple	6
5	Operation	operator: 7 operand: 10
6	Lambda	parameter: 23 body: 9
7	Literal
8	ExprTuple	10
9	Conditional	value: 11 condition: 15
10	Lambda	parameter: 23 body: 12
11	Operation	operator: 13 operands: 14
12	Conditional	value: 17 condition: 15
13	Literal
14	ExprTuple	16, 17
15	Operation	operator: 18 operands: 19
16	Variable
17	Operation	operator: 20 operand: 23
18	Literal
19	ExprTuple	23, 22
20	Variable
21	ExprTuple	23
22	Operation	operator: 24 operands: 25
23	Variable
24	Literal
25	ExprTuple	26, 27
26	Literal
27	Literal