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.numbers import Exp, one, subtract, two
from proveit.physics.quantum.QPE import _n, _t

# build up the expression from sub-expressions
expr = Exp(subtract(Exp(two, subtract(_t, _n)), one), two)

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())

\left(2^{t - n} - 1\right)^{2}

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 6 operands: 1
1	ExprTuple	2, 9
2	Operation	operator: 12 operands: 3
3	ExprTuple	4, 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 16 operand: 11
6	Literal
7	ExprTuple	9, 10
8	ExprTuple	11
9	Literal
10	Operation	operator: 12 operands: 13
11	Literal
12	Literal
13	ExprTuple	14, 15
14	Literal
15	Operation	operator: 16 operand: 18
16	Literal
17	ExprTuple	18
18	Literal