Expression of type ExprTuple

from the theory of proveit.linear_algebra.vector_sets

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, K
from proveit.core_expr_types import a_1_to_n, x_1_to_n
from proveit.linear_algebra import Span, lin_comb_axn
from proveit.logic import Set, SetOfAll

# build up the expression from sub-expressions
expr = ExprTuple(Span(Set(x_1_to_n)), SetOfAll(instance_param_or_params = [a_1_to_n], instance_element = lin_comb_axn, domain = 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(\textrm{Span}\left(\left\{x_{1}, x_{2}, \ldots, x_{n}\right\}\right), \left\{\left(a_{1} \cdot x_{1}\right) +  \left(a_{2} \cdot x_{2}\right) +  \ldots +  \left(a_{n} \cdot x_{n}\right)\right\}_{a_{1}, a_{2}, \ldots, a_{n} \in 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
1	Operation	operator: 3 operand: 7
2	Operation	operator: 5 operand: 8
3	Literal
4	ExprTuple	7
5	Literal
6	ExprTuple	8
7	Operation	operator: 9 operands: 10
8	Lambda	parameters: 11 body: 12
9	Literal
10	ExprTuple	13
11	ExprTuple	14
12	Conditional	value: 15 condition: 16
13	ExprRange	lambda_map: 17 start_index: 27 end_index: 28
14	ExprRange	lambda_map: 18 start_index: 27 end_index: 28
15	Operation	operator: 19 operands: 20
16	Operation	operator: 21 operands: 22
17	Lambda	parameter: 41 body: 35
18	Lambda	parameter: 41 body: 36
19	Literal
20	ExprTuple	23
21	Literal
22	ExprTuple	24
23	ExprRange	lambda_map: 25 start_index: 27 end_index: 28
24	ExprRange	lambda_map: 26 start_index: 27 end_index: 28
25	Lambda	parameter: 41 body: 29
26	Lambda	parameter: 41 body: 30
27	Literal
28	Variable
29	Operation	operator: 31 operands: 32
30	Operation	operator: 33 operands: 34
31	Literal
32	ExprTuple	36, 35
33	Literal
34	ExprTuple	36, 37
35	IndexedVar	variable: 38 index: 41
36	IndexedVar	variable: 39 index: 41
37	Variable
38	Variable
39	Variable
40	ExprTuple	41
41	Variable