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, one, subtract, two
from proveit.physics.quantum.QPE import _delta_b_floor, _t, _two_pow_t

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

1 \cdot \left(2 \cdot 2^{t} \cdot \left|\delta_{b_{\textit{f}}} - \left(l \cdot 2^{-t}\right)\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: 24 operands: 1
1	ExprTuple	10, 2
2	Operation	operator: 28 operands: 3
3	ExprTuple	4, 5
4	Operation	operator: 24 operands: 6
5	Operation	operator: 32 operand: 10
6	ExprTuple	30, 8, 9
7	ExprTuple	10
8	Operation	operator: 28 operands: 11
9	Operation	operator: 12 operand: 14
10	Literal
11	ExprTuple	30, 34
12	Literal
13	ExprTuple	14
14	Operation	operator: 15 operands: 16
15	Literal
16	ExprTuple	17, 18
17	Operation	operator: 19 operand: 22
18	Operation	operator: 32 operand: 23
19	Literal
20	ExprTuple	22
21	ExprTuple	23
22	Literal
23	Operation	operator: 24 operands: 25
24	Literal
25	ExprTuple	26, 27
26	Variable
27	Operation	operator: 28 operands: 29
28	Literal
29	ExprTuple	30, 31
30	Literal
31	Operation	operator: 32 operand: 34
32	Literal
33	ExprTuple	34
34	Literal