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

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

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