Expression of type NotEquals

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 l
from proveit.logic import NotEquals
from proveit.numbers import Add, Exp, Mult, Neg, e, i, one, pi, two
from proveit.physics.quantum.QPE import _delta_b_floor, _t

# build up the expression from sub-expressions
sub_expr1 = Neg(one)
expr = NotEquals(Exp(e, Mult(two, pi, Add(_delta_b_floor, Mult(sub_expr1, l, Exp(two, Mult(sub_expr1, _t)))), i)), 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())

\mathsf{e}^{2 \cdot \pi \cdot \left(\delta_{b_{\textit{f}}} + \left(\left(-1\right) \cdot l \cdot 2^{\left(-1\right) \cdot t}\right)\right) \cdot \mathsf{i}} \neq 1

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)
direction	Direction of the relation (normal or reversed)	normal	normal	('with_direction_reversed', 'is_reversed')

# display the expression information
stored_expr.expr_info()

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