Expression of type ExprTuple

from the theory of proveit.numbers.addition

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, 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), ExprRange(sub_expr1, InSet(IndexedVar(b, sub_expr1), Complex), one, j), InSet(c, Complex), ExprRange(sub_expr1, InSet(IndexedVar(d, 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),\left(b_{1} \in \mathbb{C}\right), \left(b_{2} \in \mathbb{C}\right), \ldots, \left(b_{j} \in \mathbb{C}\right), c \in \mathbb{C},\left(d_{1} \in \mathbb{C}\right), \left(d_{2} \in \mathbb{C}\right), \ldots, \left(d_{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
1	ExprRange	lambda_map: 5 start_index: 11 end_index: 6
2	ExprRange	lambda_map: 7 start_index: 11 end_index: 8
3	Operation	operator: 19 operands: 9
4	ExprRange	lambda_map: 10 start_index: 11 end_index: 12
5	Lambda	parameter: 29 body: 13
6	Variable
7	Lambda	parameter: 29 body: 14
8	Variable
9	ExprTuple	15, 24
10	Lambda	parameter: 29 body: 16
11	Literal
12	Variable
13	Operation	operator: 19 operands: 17
14	Operation	operator: 19 operands: 18
15	Variable
16	Operation	operator: 19 operands: 20
17	ExprTuple	21, 24
18	ExprTuple	22, 24
19	Literal
20	ExprTuple	23, 24
21	IndexedVar	variable: 25 index: 29
22	IndexedVar	variable: 26 index: 29
23	IndexedVar	variable: 27 index: 29
24	Literal
25	Variable
26	Variable
27	Variable
28	ExprTuple	29
29	Variable