Expression of type ExprTuple

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 Conditional, ExprTuple, Lambda, l
from proveit.logic import InSet
from proveit.numbers import Abs, Exp, Real, two
from proveit.physics.quantum.QPE import _neg_domain, _rel_indexed_alpha

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(l, Conditional(InSet(Exp(Abs(_rel_indexed_alpha), two), Real), InSet(l, _neg_domain))))

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(l \mapsto \left\{\left|\alpha_{b_{\textit{f}} \oplus l}\right|^{2} \in \mathbb{R} \textrm{ if } l \in \{-2^{t - 1} + 1~\ldotp \ldotp~-\left(e + 1\right)\}\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameter: 37 body: 3
2	ExprTuple	37
3	Conditional	value: 4 condition: 5
4	Operation	operator: 7 operands: 6
5	Operation	operator: 7 operands: 8
6	ExprTuple	9, 10
7	Literal
8	ExprTuple	37, 11
9	Operation	operator: 34 operands: 12
10	Literal
11	Operation	operator: 13 operands: 14
12	ExprTuple	15, 38
13	Literal
14	ExprTuple	16, 17
15	Operation	operator: 18 operand: 22
16	Operation	operator: 40 operands: 20
17	Operation	operator: 44 operand: 24
18	Literal
19	ExprTuple	22
20	ExprTuple	23, 46
21	ExprTuple	24
22	Operation	operator: 25 operand: 29
23	Operation	operator: 44 operand: 30
24	Operation	operator: 40 operands: 28
25	Literal
26	ExprTuple	29
27	ExprTuple	30
28	ExprTuple	31, 46
29	Operation	operator: 32 operands: 33
30	Operation	operator: 34 operands: 35
31	Variable
32	Literal
33	ExprTuple	36, 37
34	Literal
35	ExprTuple	38, 39
36	Literal
37	Variable
38	Literal
39	Operation	operator: 40 operands: 41
40	Literal
41	ExprTuple	42, 43
42	Literal
43	Operation	operator: 44 operand: 46
44	Literal
45	ExprTuple	46
46	Literal