Expression of type ExprTuple

from the theory of proveit.numbers.numerals.decimals

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, k, m, n
from proveit.logic import Equals, InSet
from proveit.numbers import Digits, one

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = IndexedVar(c, sub_expr1)
expr = ExprTuple(ExprRange(sub_expr1, InSet(IndexedVar(a, sub_expr1), Digits), one, m), InSet(b, Digits), ExprRange(sub_expr1, InSet(sub_expr2, Digits), one, n), ExprRange(sub_expr1, InSet(IndexedVar(d, sub_expr1), Digits), one, k), Equals([ExprRange(sub_expr1, b, one, n)], [ExprRange(sub_expr1, sub_expr2, one, n)]))

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{N}^{\leq 9}\right), \left(a_{2} \in \mathbb{N}^{\leq 9}\right), \ldots, \left(a_{m} \in \mathbb{N}^{\leq 9}\right), b \in \mathbb{N}^{\leq 9},\left(c_{1} \in \mathbb{N}^{\leq 9}\right), \left(c_{2} \in \mathbb{N}^{\leq 9}\right), \ldots, \left(c_{n} \in \mathbb{N}^{\leq 9}\right),\left(d_{1} \in \mathbb{N}^{\leq 9}\right), \left(d_{2} \in \mathbb{N}^{\leq 9}\right), \ldots, \left(d_{k} \in \mathbb{N}^{\leq 9}\right), \left(b, b, ..\left(n - 3\right) \times.., b\right) = \left(c_{1}, c_{2}, \ldots, c_{n}\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: 30 end_index: 7
2	Operation	operator: 21 operands: 8
3	ExprRange	lambda_map: 9 start_index: 30 end_index: 31
4	ExprRange	lambda_map: 10 start_index: 30 end_index: 11
5	Operation	operator: 12 operands: 13
6	Lambda	parameter: 38 body: 14
7	Variable
8	ExprTuple	34, 27
9	Lambda	parameter: 38 body: 15
10	Lambda	parameter: 38 body: 16
11	Variable
12	Literal
13	ExprTuple	17, 18
14	Operation	operator: 21 operands: 19
15	Operation	operator: 21 operands: 20
16	Operation	operator: 21 operands: 22
17	ExprTuple	23
18	ExprTuple	24
19	ExprTuple	25, 27
20	ExprTuple	35, 27
21	Literal
22	ExprTuple	26, 27
23	ExprRange	lambda_map: 28 start_index: 30 end_index: 31
24	ExprRange	lambda_map: 29 start_index: 30 end_index: 31
25	IndexedVar	variable: 32 index: 38
26	IndexedVar	variable: 33 index: 38
27	Literal
28	Lambda	parameter: 38 body: 34
29	Lambda	parameter: 38 body: 35
30	Literal
31	Variable
32	Variable
33	Variable
34	Variable
35	IndexedVar	variable: 36 index: 38
36	Variable
37	ExprTuple	38
38	Variable