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, ExprTuple, Lambda, a, n
from proveit.core_expr_types import b_1_to_n
from proveit.logic import Forall, InSet
from proveit.numbers import DecimalSequence, Digits, Natural, NaturalPos, greater, zero

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(n, Conditional(Forall(instance_param_or_params = [a, b_1_to_n], instance_expr = InSet(DecimalSequence(a, b_1_to_n), NaturalPos), domain = Digits, condition = greater(a, zero)), InSet(n, Natural))))

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(n \mapsto \left\{\forall_{a, b_{1}, b_{2}, \ldots, b_{n} \in \mathbb{N}^{\leq 9}~|~a > 0}~\left(\texttt{\#}(a ~ b_{1}, b_{2}, \ldots, b_{n}) \in \mathbb{N}^+\right) \textrm{ if } n \in \mathbb{N}\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	parameter: 34 body: 3
2	ExprTuple	34
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operand: 9
5	Operation	operator: 35 operands: 8
6	Literal
7	ExprTuple	9
8	ExprTuple	34, 10
9	Lambda	parameters: 23 body: 11
10	Literal
11	Conditional	value: 12 condition: 13
12	Operation	operator: 35 operands: 14
13	Operation	operator: 15 operands: 16
14	ExprTuple	17, 18
15	Literal
16	ExprTuple	19, 20, 21
17	Operation	operator: 22 operands: 23
18	Literal
19	Operation	operator: 35 operands: 24
20	ExprRange	lambda_map: 25 start_index: 33 end_index: 34
21	Operation	operator: 26 operands: 27
22	Literal
23	ExprTuple	31, 28
24	ExprTuple	31, 38
25	Lambda	parameter: 41 body: 29
26	Literal
27	ExprTuple	30, 31
28	ExprRange	lambda_map: 32 start_index: 33 end_index: 34
29	Operation	operator: 35 operands: 36
30	Literal
31	Variable
32	Lambda	parameter: 41 body: 37
33	Literal
34	Variable
35	Literal
36	ExprTuple	37, 38
37	IndexedVar	variable: 39 index: 41
38	Literal
39	Variable
40	ExprTuple	41
41	Variable