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 ExprTuple, Lambda, n
from proveit.logic import And, Equals, InSet
from proveit.numbers import Digits, LessEq, Natural, nine

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(n, Equals(InSet(n, Digits), And(InSet(n, Natural), LessEq(n, nine)))))

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(\left(n \in \mathbb{N}^{\leq 9}\right) = \left(\left(n \in \mathbb{N}\right) \land \left(n \leq 9\right)\right)\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: 19 body: 3
2	ExprTuple	19
3	Operation	operator: 4 operands: 5
4	Literal
5	ExprTuple	6, 7
6	Operation	operator: 14 operands: 8
7	Operation	operator: 9 operands: 10
8	ExprTuple	19, 11
9	Literal
10	ExprTuple	12, 13
11	Literal
12	Operation	operator: 14 operands: 15
13	Operation	operator: 16 operands: 17
14	Literal
15	ExprTuple	19, 18
16	Literal
17	ExprTuple	19, 20
18	Literal
19	Variable
20	Literal