Expression of type Exp

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 Variable, k, l
from proveit.numbers import Add, Exp, Mult, e, frac, i, pi, subtract, two
from proveit.physics.quantum.QPE import _b_floor, _two_pow_t

# build up the expression from sub-expressions
expr = Exp(Exp(e, Mult(two, pi, i, subtract(Variable("_a", latex_format = r"{_{-}a}"), frac(Add(_b_floor, l), _two_pow_t)))), k)

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())

(\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \left({_{-}a} - \frac{b_{\textit{f}} + l}{2^{t}}\right)})^{k}

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

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