Expression of type Mult

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.numbers import Exp, Mult, Neg, frac, one, pi, subtract, two
from proveit.physics.quantum.QPE import _delta_b_floor, _t

# build up the expression from sub-expressions
expr = Mult(Mult(two, pi, subtract(_delta_b_floor, Mult(l, Exp(two, Neg(_t))))), Mult(frac(one, two), Exp(pi, Neg(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(2 \cdot \pi \cdot \left(\delta_{b_{\textit{f}}} - \left(l \cdot 2^{-t}\right)\right)\right) \cdot \left(\frac{1}{2} \cdot \pi^{-1}\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',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 25 operands: 1
1	ExprTuple	2, 3
2	Operation	operator: 25 operands: 4
3	Operation	operator: 25 operands: 5
4	ExprTuple	31, 16, 6
5	ExprTuple	7, 8
6	Operation	operator: 9 operands: 10
7	Operation	operator: 11 operands: 12
8	Operation	operator: 29 operands: 13
9	Literal
10	ExprTuple	14, 15
11	Literal
12	ExprTuple	24, 31
13	ExprTuple	16, 17
14	Operation	operator: 18 operand: 22
15	Operation	operator: 33 operand: 23
16	Literal
17	Operation	operator: 33 operand: 24
18	Literal
19	ExprTuple	22
20	ExprTuple	23
21	ExprTuple	24
22	Literal
23	Operation	operator: 25 operands: 26
24	Literal
25	Literal
26	ExprTuple	27, 28
27	Variable
28	Operation	operator: 29 operands: 30
29	Literal
30	ExprTuple	31, 32
31	Literal
32	Operation	operator: 33 operand: 35
33	Literal
34	ExprTuple	35
35	Literal