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

# build up the expression from sub-expressions
sub_expr1 = Neg(one)
expr = Exp(e, Mult(two, pi, i, Add(Mult(sub_expr1, l, Exp(two, Mult(sub_expr1, _t))), _delta_b_floor)))

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(\left(\left(-1\right) \cdot l \cdot 2^{\left(-1\right) \cdot t}\right) + \delta_{b_{\textit{f}}}\right)}

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

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