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 ExprTuple, l
from proveit.numbers import Abs, LessEq, Mult, frac, one, subtract, two, zero
from proveit.physics.quantum.QPE import _delta_b_floor, _rel_indexed_alpha, _two_pow_t

# build up the expression from sub-expressions
sub_expr1 = Abs(_rel_indexed_alpha)
expr = ExprTuple(LessEq(zero, sub_expr1), LessEq(sub_expr1, frac(one, Mult(two, Abs(subtract(Mult(_two_pow_t, _delta_b_floor), l))))))

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(0 \leq \left|\alpha_{b_{\textit{f}} \oplus l}\right|, \left|\alpha_{b_{\textit{f}} \oplus l}\right| \leq \frac{1}{2 \cdot \left|\left(2^{t} \cdot \delta_{b_{\textit{f}}}\right) - l\right|}\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

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