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 l
from proveit.numbers import Exp, Mult, e, i, pi, subtract, two
from proveit.physics.quantum.QPE import _delta_b_floor, _two_pow_t

# build up the expression from sub-expressions
expr = Exp(e, Mult(i, Mult(two, pi, subtract(Mult(_two_pow_t, _delta_b_floor), l))))

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}^{\mathsf{i} \cdot \left(2 \cdot \pi \cdot \left(\left(2^{t} \cdot \delta_{b_{\textit{f}}}\right) - l\right)\right)}

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

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