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, Mult, Real, four, frac, one, two
from proveit.physics.quantum.QPE import _diff_l_scaled_delta_floor, _neg_domain

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(l, Conditional(InSet(frac(one, Mult(four, Exp(_diff_l_scaled_delta_floor, 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\{\frac{1}{4 \cdot \left(l - \left(2^{t} \cdot \delta_{b_{\textit{f}}}\right)\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: 34 body: 3
2	ExprTuple	34
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	34, 11
9	Operation	operator: 12 operands: 13
10	Literal
11	Operation	operator: 14 operands: 15
12	Literal
13	ExprTuple	48, 16
14	Literal
15	ExprTuple	17, 18
16	Operation	operator: 42 operands: 19
17	Operation	operator: 38 operands: 20
18	Operation	operator: 44 operand: 25
19	ExprTuple	22, 23
20	ExprTuple	24, 48
21	ExprTuple	25
22	Literal
23	Operation	operator: 49 operands: 26
24	Operation	operator: 44 operand: 30
25	Operation	operator: 38 operands: 28
26	ExprTuple	29, 53
27	ExprTuple	30
28	ExprTuple	31, 48
29	Operation	operator: 38 operands: 32
30	Operation	operator: 49 operands: 33
31	Variable
32	ExprTuple	34, 35
33	ExprTuple	53, 36
34	Variable
35	Operation	operator: 44 operand: 40
36	Operation	operator: 38 operands: 39
37	ExprTuple	40
38	Literal
39	ExprTuple	54, 41
40	Operation	operator: 42 operands: 43
41	Operation	operator: 44 operand: 48
42	Literal
43	ExprTuple	46, 47
44	Literal
45	ExprTuple	48
46	Operation	operator: 49 operands: 50
47	Operation	operator: 51 operand: 55
48	Literal
49	Literal
50	ExprTuple	53, 54
51	Literal
52	ExprTuple	55
53	Literal
54	Literal
55	Literal