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 Complex, Exp, frac, one, two
from proveit.physics.quantum.QPE import _diff_l_scaled_delta_floor, _pos_domain

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(l, Conditional(InSet(frac(one, Exp(_diff_l_scaled_delta_floor, two)), Complex), InSet(l, _pos_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\{\frac{1}{\left(l - \left(2^{t} \cdot \delta_{b_{\textit{f}}}\right)\right)^{2}} \in \mathbb{C} \textrm{ if } l \in \{e + 1~\ldotp \ldotp~2^{t - 1}\}\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: 28 body: 3
2	ExprTuple	28
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	28, 11
9	Operation	operator: 12 operands: 13
10	Literal
11	Operation	operator: 14 operands: 15
12	Literal
13	ExprTuple	35, 16
14	Literal
15	ExprTuple	17, 18
16	Operation	operator: 40 operands: 19
17	Operation	operator: 26 operands: 20
18	Operation	operator: 40 operands: 21
19	ExprTuple	22, 44
20	ExprTuple	23, 35
21	ExprTuple	44, 24
22	Operation	operator: 26 operands: 25
23	Variable
24	Operation	operator: 26 operands: 27
25	ExprTuple	28, 29
26	Literal
27	ExprTuple	45, 30
28	Variable
29	Operation	operator: 32 operand: 34
30	Operation	operator: 32 operand: 35
31	ExprTuple	34
32	Literal
33	ExprTuple	35
34	Operation	operator: 36 operands: 37
35	Literal
36	Literal
37	ExprTuple	38, 39
38	Operation	operator: 40 operands: 41
39	Operation	operator: 42 operand: 46
40	Literal
41	ExprTuple	44, 45
42	Literal
43	ExprTuple	46
44	Literal
45	Literal
46	Literal