Expression of type ExprTuple

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

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(b, 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 \mapsto \left\{b \in \mathbb{N}^{\leq 1} \textrm{ if } b \in \mathbb{N} ,  0 \leq b \leq 1\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: 22 body: 3
2	ExprTuple	22
3	Conditional	value: 4 condition: 5
4	Operation	operator: 11 operands: 6
5	Operation	operator: 13 operands: 7
6	ExprTuple	22, 8
7	ExprTuple	9, 10
8	Literal
9	Operation	operator: 11 operands: 12
10	Operation	operator: 13 operands: 14
11	Literal
12	ExprTuple	22, 15
13	Literal
14	ExprTuple	16, 17
15	Literal
16	Operation	operator: 19 operands: 18
17	Operation	operator: 19 operands: 20
18	ExprTuple	21, 22
19	Literal
20	ExprTuple	22, 23
21	Literal
22	Variable
23	Literal