Expression of type SubIndexed

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 Mod, Mult, Round
from proveit.physics.quantum.QPE import SubIndexed, _alpha, _phase, _two_pow_t

# build up the expression from sub-expressions
expr = SubIndexed(_alpha, [Mod(Round(Mult(_two_pow_t, _phase)), _two_pow_t)])

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())

\alpha_{round\left(2^{t} \cdot \varphi\right) ~\textup{mod}~ 2^{t}}

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix

# display the expression information
stored_expr.expr_info()

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