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, 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(frac(one, Mult(four, Exp(_diff_l_scaled_delta_floor, two))), 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}} \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: 28 body: 3
2	ExprTuple	28
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	52, 10
8	Literal
9	ExprTuple	28, 11
10	Operation	operator: 36 operands: 12
11	Operation	operator: 13 operands: 14
12	ExprTuple	15, 16
13	Literal
14	ExprTuple	17, 18
15	Literal
16	Operation	operator: 43 operands: 19
17	Operation	operator: 38 operands: 20
18	Operation	operator: 47 operand: 24
19	ExprTuple	22, 49
20	ExprTuple	23, 52
21	ExprTuple	24
22	Operation	operator: 38 operands: 25
23	Operation	operator: 47 operand: 30
24	Operation	operator: 38 operands: 27
25	ExprTuple	28, 29
26	ExprTuple	30
27	ExprTuple	31, 52
28	Variable
29	Operation	operator: 47 operand: 34
30	Operation	operator: 43 operands: 33
31	Variable
32	ExprTuple	34
33	ExprTuple	49, 35
34	Operation	operator: 36 operands: 37
35	Operation	operator: 38 operands: 39
36	Literal
37	ExprTuple	40, 41
38	Literal
39	ExprTuple	50, 42
40	Operation	operator: 43 operands: 44
41	Operation	operator: 45 operand: 51
42	Operation	operator: 47 operand: 52
43	Literal
44	ExprTuple	49, 50
45	Literal
46	ExprTuple	51
47	Literal
48	ExprTuple	52
49	Literal
50	Literal
51	Literal
52	Literal