Expression of type ExprTuple

from the theory of proveit.physics.quantum.QPE

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, l
from proveit.numbers import Add, Less, frac, one, subtract, zero
from proveit.physics.quantum.QPE import _delta_b, _two_pow_t

# build up the expression from sub-expressions
sub_expr1 = subtract(_delta_b, frac(l, _two_pow_t))
expr = ExprTuple(Less(subtract(zero, one), sub_expr1), Less(sub_expr1, Add(zero, one)))

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(0 - 1\right) < \left(\delta_{b} - \frac{l}{2^{t}}\right), \left(\delta_{b} - \frac{l}{2^{t}}\right) < \left(0 + 1\right)\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2
1	Operation	operator: 4 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 7
4	Literal
5	ExprTuple	7, 8
6	Operation	operator: 11 operands: 9
7	Operation	operator: 11 operands: 10
8	Operation	operator: 11 operands: 12
9	ExprTuple	16, 13
10	ExprTuple	14, 15
11	Literal
12	ExprTuple	16, 22
13	Operation	operator: 20 operand: 22
14	Operation	operator: 18 operand: 23
15	Operation	operator: 20 operand: 24
16	Literal
17	ExprTuple	22
18	Literal
19	ExprTuple	23
20	Literal
21	ExprTuple	24
22	Literal
23	Variable
24	Operation	operator: 25 operands: 26
25	Literal
26	ExprTuple	27, 28
27	Variable
28	Operation	operator: 29 operands: 30
29	Literal
30	ExprTuple	31, 32
31	Literal
32	Literal