Expression of type Div

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 Variable, l
from proveit.numbers import Exp, Mult, e, frac, i, one, pi, subtract, two
from proveit.physics.quantum.QPE import _delta_b_floor, _two_pow_t

# build up the expression from sub-expressions
expr = frac(Variable("_a", latex_format = r"{_{-}a}"), subtract(one, Exp(e, Mult(two, pi, i, subtract(_delta_b_floor, frac(l, _two_pow_t))))))

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())

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

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',)
division	'inline': uses '/'; 'fraction': numerator over the denominator (also see 'frac' function)	fraction	fraction	('with_inline_style', 'with_fraction_style')

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 27 operands: 1
1	ExprTuple	2, 3
2	Variable
3	Operation	operator: 17 operands: 4
4	ExprTuple	5, 6
5	Literal
6	Operation	operator: 23 operand: 8
7	ExprTuple	8
8	Operation	operator: 31 operands: 9
9	ExprTuple	10, 11
10	Literal
11	Operation	operator: 12 operands: 13
12	Literal
13	ExprTuple	33, 14, 15, 16
14	Literal
15	Literal
16	Operation	operator: 17 operands: 18
17	Literal
18	ExprTuple	19, 20
19	Operation	operator: 21 operand: 25
20	Operation	operator: 23 operand: 26
21	Literal
22	ExprTuple	25
23	Literal
24	ExprTuple	26
25	Literal
26	Operation	operator: 27 operands: 28
27	Literal
28	ExprTuple	29, 30
29	Variable
30	Operation	operator: 31 operands: 32
31	Literal
32	ExprTuple	33, 34
33	Literal
34	Literal