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.core_expr_types import b_1_to_n
from proveit.logic import Equals, InSet
from proveit.numbers import Add, Digits, Natural, one

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(InSet(m, Natural), InSet(n, Natural), InSet(k, Natural), ExprRange(sub_expr1, InSet(IndexedVar(a, sub_expr1), Digits), one, m), ExprRange(sub_expr1, InSet(IndexedVar(b, sub_expr1), Digits), one, n), InSet(c, Digits), ExprRange(sub_expr1, InSet(IndexedVar(d, sub_expr1), Digits), one, k), Equals(Add(b_1_to_n), c))

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(m \in \mathbb{N}, n \in \mathbb{N}, k \in \mathbb{N},\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),\left(b_{1} \in \mathbb{N}^{\leq 9}\right), \left(b_{2} \in \mathbb{N}^{\leq 9}\right), \ldots, \left(b_{n} \in \mathbb{N}^{\leq 9}\right), c \in \mathbb{N}^{\leq 9},\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_{1} +  b_{2} +  \ldots +  b_{n}\right) = c\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, 7, 8
1	Operation	operator: 28 operands: 9
2	Operation	operator: 28 operands: 10
3	Operation	operator: 28 operands: 11
4	ExprRange	lambda_map: 12 start_index: 39 end_index: 18
5	ExprRange	lambda_map: 13 start_index: 39 end_index: 40
6	Operation	operator: 28 operands: 14
7	ExprRange	lambda_map: 15 start_index: 39 end_index: 19
8	Operation	operator: 16 operands: 17
9	ExprTuple	18, 20
10	ExprTuple	40, 20
11	ExprTuple	19, 20
12	Lambda	parameter: 44 body: 21
13	Lambda	parameter: 44 body: 22
14	ExprTuple	25, 34
15	Lambda	parameter: 44 body: 23
16	Literal
17	ExprTuple	24, 25
18	Variable
19	Variable
20	Literal
21	Operation	operator: 28 operands: 26
22	Operation	operator: 28 operands: 27
23	Operation	operator: 28 operands: 29
24	Operation	operator: 30 operands: 31
25	Variable
26	ExprTuple	32, 34
27	ExprTuple	41, 34
28	Literal
29	ExprTuple	33, 34
30	Literal
31	ExprTuple	35
32	IndexedVar	variable: 36 index: 44
33	IndexedVar	variable: 37 index: 44
34	Literal
35	ExprRange	lambda_map: 38 start_index: 39 end_index: 40
36	Variable
37	Variable
38	Lambda	parameter: 44 body: 41
39	Literal
40	Variable
41	IndexedVar	variable: 42 index: 44
42	Variable
43	ExprTuple	44
44	Variable