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, pi, two
from proveit.physics.quantum.QPE import _delta_b_floor, _t

# build up the expression from sub-expressions
expr = Exp(e, Mult(two, pi, i, Add(Neg(Mult(l, Exp(two, Neg(_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(l \cdot 2^{-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: 21 operands: 1
1	ExprTuple	2, 3
2	Literal
3	Operation	operator: 17 operands: 4
4	ExprTuple	23, 5, 6, 7
5	Literal
6	Literal
7	Operation	operator: 8 operands: 9
8	Literal
9	ExprTuple	10, 11
10	Operation	operator: 25 operand: 15
11	Operation	operator: 13 operand: 16
12	ExprTuple	15
13	Literal
14	ExprTuple	16
15	Operation	operator: 17 operands: 18
16	Literal
17	Literal
18	ExprTuple	19, 20
19	Variable
20	Operation	operator: 21 operands: 22
21	Literal
22	ExprTuple	23, 24
23	Literal
24	Operation	operator: 25 operand: 27
25	Literal
26	ExprTuple	27
27	Literal