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 Conditional, ExprRange, ExprTuple, IndexedVar, Lambda, Variable, a, b, n
from proveit.core_expr_types import b_1_to_n
from proveit.logic import And, InSet
from proveit.numbers import DecimalSequence, Digits, NaturalPos, greater, one, zero

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(Lambda([a, b_1_to_n], Conditional(InSet(DecimalSequence(a, b_1_to_n), NaturalPos), And(InSet(a, Digits), ExprRange(sub_expr1, InSet(IndexedVar(b, sub_expr1), Digits), one, n), greater(a, zero)))))

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, b_{1}, b_{2}, \ldots, b_{n}\right) \mapsto \left\{\texttt{\#}(a ~ b_{1}, b_{2}, \ldots, b_{n}) \in \mathbb{N}^+ \textrm{ if } a \in \mathbb{N}^{\leq 9}, \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) ,  a > 0\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameters: 14 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 26 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	8, 9
6	Literal
7	ExprTuple	10, 11, 12
8	Operation	operator: 13 operands: 14
9	Literal
10	Operation	operator: 26 operands: 15
11	ExprRange	lambda_map: 16 start_index: 24 end_index: 25
12	Operation	operator: 17 operands: 18
13	Literal
14	ExprTuple	22, 19
15	ExprTuple	22, 29
16	Lambda	parameter: 32 body: 20
17	Literal
18	ExprTuple	21, 22
19	ExprRange	lambda_map: 23 start_index: 24 end_index: 25
20	Operation	operator: 26 operands: 27
21	Literal
22	Variable
23	Lambda	parameter: 32 body: 28
24	Literal
25	Variable
26	Literal
27	ExprTuple	28, 29
28	IndexedVar	variable: 30 index: 32
29	Literal
30	Variable
31	ExprTuple	32
32	Variable