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.numbers import Abs, Less, LessEq, Mod, frac, pi, two, zero
from proveit.physics.quantum.QPE import SubIndexed, _alpha, _b_round, _two_pow_t

# build up the expression from sub-expressions
sub_expr1 = frac(two, pi)
expr = ExprTuple(LessEq(zero, sub_expr1), Less(sub_expr1, Abs(SubIndexed(_alpha, [Mod(_b_round, _two_pow_t)]))))

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 \frac{2}{\pi}, \frac{2}{\pi} < \left|\alpha_{b_{\textit{r}} ~\textup{mod}~ 2^{t}}\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: 3 operands: 4
2	Operation	operator: 5 operands: 6
3	Literal
4	ExprTuple	7, 8
5	Literal
6	ExprTuple	8, 9
7	Literal
8	Operation	operator: 10 operands: 11
9	Operation	operator: 12 operand: 15
10	Literal
11	ExprTuple	25, 14
12	Literal
13	ExprTuple	15
14	Literal
15	Operation	operator: 16 operand: 18
16	Literal
17	ExprTuple	18
18	Operation	operator: 19 operands: 20
19	Literal
20	ExprTuple	21, 22
21	Literal
22	Operation	operator: 23 operands: 24
23	Literal
24	ExprTuple	25, 26
25	Literal
26	Literal