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
from proveit.logic import NotEquals
from proveit.numbers import Abs, Exp, Mod, four, frac, greater, pi, two, zero
from proveit.physics.quantum.QPE import SubIndexed, _alpha, _b_round, _delta_b_round, _two_pow_t

# build up the expression from sub-expressions
expr = ExprTuple(NotEquals(_delta_b_round, zero), greater(Exp(Abs(SubIndexed(_alpha, [Mod(_b_round, _two_pow_t)])), two), frac(four, Exp(pi, two))))

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(\delta_{b_{\textit{r}}} \neq 0, \left|\alpha_{b_{\textit{r}} ~\textup{mod}~ 2^{t}}\right|^{2} > \frac{4}{\pi^{2}}\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: 3 operands: 4
2	Operation	operator: 5 operands: 6
3	Literal
4	ExprTuple	7, 8
5	Literal
6	ExprTuple	9, 10
7	Operation	operator: 11 operand: 29
8	Literal
9	Operation	operator: 13 operands: 14
10	Operation	operator: 31 operands: 15
11	Literal
12	ExprTuple	29
13	Literal
14	ExprTuple	16, 17
15	ExprTuple	18, 33
16	Literal
17	Operation	operator: 31 operands: 19
18	Operation	operator: 20 operand: 23
19	ExprTuple	22, 33
20	Literal
21	ExprTuple	23
22	Literal
23	Operation	operator: 24 operand: 26
24	Literal
25	ExprTuple	26
26	Operation	operator: 27 operands: 28
27	Literal
28	ExprTuple	29, 30
29	Literal
30	Operation	operator: 31 operands: 32
31	Literal
32	ExprTuple	33, 34
33	Literal
34	Literal