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, Function, s
from proveit.core_expr_types import Q__b_1_to_j, a_1_to_i, b_1_to_j, c_1_to_k, f__b_1_to_j
from proveit.linear_algebra import ScalarMult, VecSum

# build up the expression from sub-expressions
sub_expr1 = [b_1_to_j]
expr = ExprTuple(a_1_to_i, VecSum(index_or_indices = sub_expr1, summand = ScalarMult(Function(s, sub_expr1), f__b_1_to_j), condition = Q__b_1_to_j), c_1_to_k)

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(a_{1}, a_{2}, \ldots, a_{i}, \sum_{b_{1}, b_{2}, \ldots, b_{j}~|~Q\left(b_{1}, b_{2}, \ldots, b_{j}\right)}~\left(s\left(b_{1}, b_{2}, \ldots, b_{j}\right) \cdot f\left(b_{1}, b_{2}, \ldots, b_{j}\right)\right),c_{1}, c_{2}, \ldots, c_{k}\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, 3
1	ExprRange	lambda_map: 4 start_index: 28 end_index: 5
2	Operation	operator: 6 operand: 11
3	ExprRange	lambda_map: 8 start_index: 28 end_index: 9
4	Lambda	parameter: 33 body: 10
5	Variable
6	Literal
7	ExprTuple	11
8	Lambda	parameter: 33 body: 12
9	Variable
10	IndexedVar	variable: 13 index: 33
11	Lambda	parameters: 25 body: 14
12	IndexedVar	variable: 15 index: 33
13	Variable
14	Conditional	value: 16 condition: 17
15	Variable
16	Operation	operator: 18 operands: 19
17	Operation	operator: 20 operands: 25
18	Literal
19	ExprTuple	21, 22
20	Variable
21	Operation	operator: 23 operands: 25
22	Operation	operator: 24 operands: 25
23	Variable
24	Variable
25	ExprTuple	26
26	ExprRange	lambda_map: 27 start_index: 28 end_index: 29
27	Lambda	parameter: 33 body: 30
28	Literal
29	Variable
30	IndexedVar	variable: 31 index: 33
31	Variable
32	ExprTuple	33
33	Variable