Expression of type Neg

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 m
from proveit.numbers import Mod, Mult, Neg, frac, i, pi, two
from proveit.physics.quantum.QPE import _two_pow_t

# build up the expression from sub-expressions
expr = Neg(frac(Mult(two, pi, i, Mod(m, _two_pow_t)), _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{2 \cdot \pi \cdot \mathsf{i} \cdot \left(m ~\textup{mod}~ 2^{t}\right)}{2^{t}}

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
notation_in_add	When contained in an Add, use 'subtraction' or 'explicit_negation': For example, 'a - b' versus 'a + (-b)'.	subtraction	subtraction	('with_subtraction_notation', 'without_subtraction_notation')

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 1 operand: 3
1	Literal
2	ExprTuple	3
3	Operation	operator: 4 operands: 5
4	Literal
5	ExprTuple	6, 15
6	Operation	operator: 7 operands: 8
7	Literal
8	ExprTuple	18, 9, 10, 11
9	Literal
10	Literal
11	Operation	operator: 12 operands: 13
12	Literal
13	ExprTuple	14, 15
14	Variable
15	Operation	operator: 16 operands: 17
16	Literal
17	ExprTuple	18, 19
18	Literal
19	Literal