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, y
from proveit.linear_algebra import TensorProd, VecSum
from proveit.logic import CartExp
from proveit.numbers import Interval, Real, four, three, two

# build up the expression from sub-expressions
sub_expr1 = CartExp(Real, three)
expr = ExprTuple(VecSum(index_or_indices = [i], summand = TensorProd(y, fi), domain = Interval(two, four)), TensorProd(sub_expr1, sub_expr1))

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(\sum_{i=2}^{4} \left(y {\otimes} f\left(i\right)\right), \mathbb{R}^{3} {\otimes} \mathbb{R}^{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: 3 operand: 6
2	Operation	operator: 15 operands: 5
3	Literal
4	ExprTuple	6
5	ExprTuple	7, 7
6	Lambda	parameter: 26 body: 8
7	Operation	operator: 9 operands: 10
8	Conditional	value: 11 condition: 12
9	Literal
10	ExprTuple	13, 14
11	Operation	operator: 15 operands: 16
12	Operation	operator: 17 operands: 18
13	Literal
14	Literal
15	Literal
16	ExprTuple	19, 20
17	Literal
18	ExprTuple	26, 21
19	Variable
20	Operation	operator: 22 operand: 26
21	Operation	operator: 24 operands: 25
22	Variable
23	ExprTuple	26
24	Literal
25	ExprTuple	27, 28
26	Variable
27	Literal
28	Literal