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

# build up the expression from sub-expressions
sub_expr1 = Exp(two, Neg(_t))
expr = Mult(frac(one, two), sub_expr1, Exp(Abs(subtract(_delta_b_floor, Mult(l, sub_expr1))), 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())

\frac{1}{2} \cdot 2^{-t} \cdot \left|\delta_{b_{\textit{f}}} - \left(l \cdot 2^{-t}\right)\right|^{-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',)

# display the expression information
stored_expr.expr_info()

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