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 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(frac(one, Exp(_diff_l_scaled_delta_floor, two)), 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}} \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: 21 body: 3
2	ExprTuple	21
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	36, 10
8	Literal
9	ExprTuple	21, 11
10	Operation	operator: 37 operands: 12
11	Operation	operator: 13 operands: 14
12	ExprTuple	15, 41
13	Literal
14	ExprTuple	16, 17
15	Operation	operator: 26 operands: 18
16	Operation	operator: 26 operands: 19
17	Operation	operator: 37 operands: 20
18	ExprTuple	21, 22
19	ExprTuple	23, 36
20	ExprTuple	41, 24
21	Variable
22	Operation	operator: 32 operand: 28
23	Variable
24	Operation	operator: 26 operands: 27
25	ExprTuple	28
26	Literal
27	ExprTuple	42, 29
28	Operation	operator: 30 operands: 31
29	Operation	operator: 32 operand: 36
30	Literal
31	ExprTuple	34, 35
32	Literal
33	ExprTuple	36
34	Operation	operator: 37 operands: 38
35	Operation	operator: 39 operand: 43
36	Literal
37	Literal
38	ExprTuple	41, 42
39	Literal
40	ExprTuple	43
41	Literal
42	Literal
43	Literal