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 Equals, 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), Equals(b, d))

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), b = d\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, 6
1	ExprRange	lambda_map: 7 start_index: 14 end_index: 8
2	Operation	operator: 25 operands: 9
3	ExprRange	lambda_map: 10 start_index: 14 end_index: 11
4	Operation	operator: 25 operands: 12
5	ExprRange	lambda_map: 13 start_index: 14 end_index: 15
6	Operation	operator: 16 operands: 17
7	Lambda	parameter: 35 body: 18
8	Variable
9	ExprTuple	21, 30
10	Lambda	parameter: 35 body: 19
11	Variable
12	ExprTuple	22, 30
13	Lambda	parameter: 35 body: 20
14	Literal
15	Variable
16	Literal
17	ExprTuple	21, 22
18	Operation	operator: 25 operands: 23
19	Operation	operator: 25 operands: 24
20	Operation	operator: 25 operands: 26
21	Variable
22	Variable
23	ExprTuple	27, 30
24	ExprTuple	28, 30
25	Literal
26	ExprTuple	29, 30
27	IndexedVar	variable: 31 index: 35
28	IndexedVar	variable: 32 index: 35
29	IndexedVar	variable: 33 index: 35
30	Literal
31	Variable
32	Variable
33	Variable
34	ExprTuple	35
35	Variable