Expression of type ExprTuple

from the theory of proveit.numbers.addition.subtraction

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 ExprRange, ExprTuple, IndexedVar, Variable, a, b, c, d, e, i, j, k
from proveit.logic import InSet
from proveit.numbers import Complex, one

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(ExprRange(sub_expr1, InSet(IndexedVar(a, sub_expr1), Complex), one, i), InSet(b, Complex), ExprRange(sub_expr1, InSet(IndexedVar(c, sub_expr1), Complex), one, j), InSet(d, Complex), ExprRange(sub_expr1, InSet(IndexedVar(e, sub_expr1), Complex), one, 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(\left(a_{1} \in \mathbb{C}\right), \left(a_{2} \in \mathbb{C}\right), \ldots, \left(a_{i} \in \mathbb{C}\right), b \in \mathbb{C},\left(c_{1} \in \mathbb{C}\right), \left(c_{2} \in \mathbb{C}\right), \ldots, \left(c_{j} \in \mathbb{C}\right), d \in \mathbb{C},\left(e_{1} \in \mathbb{C}\right), \left(e_{2} \in \mathbb{C}\right), \ldots, \left(e_{k} \in \mathbb{C}\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, 3, 4, 5
1	ExprRange	lambda_map: 6 start_index: 13 end_index: 7
2	Operation	operator: 22 operands: 8
3	ExprRange	lambda_map: 9 start_index: 13 end_index: 10
4	Operation	operator: 22 operands: 11
5	ExprRange	lambda_map: 12 start_index: 13 end_index: 14
6	Lambda	parameter: 32 body: 15
7	Variable
8	ExprTuple	16, 27
9	Lambda	parameter: 32 body: 17
10	Variable
11	ExprTuple	18, 27
12	Lambda	parameter: 32 body: 19
13	Literal
14	Variable
15	Operation	operator: 22 operands: 20
16	Variable
17	Operation	operator: 22 operands: 21
18	Variable
19	Operation	operator: 22 operands: 23
20	ExprTuple	24, 27
21	ExprTuple	25, 27
22	Literal
23	ExprTuple	26, 27
24	IndexedVar	variable: 28 index: 32
25	IndexedVar	variable: 29 index: 32
26	IndexedVar	variable: 30 index: 32
27	Literal
28	Variable
29	Variable
30	Variable
31	ExprTuple	32
32	Variable