Expression of type Conditional

from the theory of proveit.numbers.numerals.binaries

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, b
from proveit.logic import And, InSet
from proveit.numbers import Bit, LessEq, Natural, one, zero

# build up the expression from sub-expressions
expr = Conditional(InSet(b, Bit), And(InSet(b, Natural), And(LessEq(zero, b), LessEq(b, one)).with_total_ordering_style()))

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\{b \in \mathbb{N}^{\leq 1} \textrm{ if } b \in \mathbb{N} ,  0 \leq b \leq 1\right..

stored_expr.style_options()

name	description	default	current value	related methods
condition_delimiter	'comma' or 'and'	comma	comma	('with_comma_delimiter', 'with_conjunction_delimiter')

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Conditional	value: 1 condition: 2
1	Operation	operator: 8 operands: 3
2	Operation	operator: 10 operands: 4
3	ExprTuple	19, 5
4	ExprTuple	6, 7
5	Literal
6	Operation	operator: 8 operands: 9
7	Operation	operator: 10 operands: 11
8	Literal
9	ExprTuple	19, 12
10	Literal
11	ExprTuple	13, 14
12	Literal
13	Operation	operator: 16 operands: 15
14	Operation	operator: 16 operands: 17
15	ExprTuple	18, 19
16	Literal
17	ExprTuple	19, 20
18	Literal
19	Variable
20	Literal