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
from proveit.numbers import Exp, Mult, Neg, e, i, pi, two
from proveit.physics.quantum.QPE import _phase

# build up the expression from sub-expressions
expr = Exp(e, Mult(two, pi, i, Exp(two, Neg(Variable("_a", latex_format = r"{_{-}a}"))), _phase))

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 2^{-{_{-}a}} \cdot \varphi}

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

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