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, m
from proveit.logic import InSet
from proveit.numbers import Exp, LessEq, ModAbs, one, subtract, two
from proveit.physics.quantum.QPE import _b_floor, _m_domain, _n, _t, _two_pow_t

# build up the expression from sub-expressions
expr = ExprTuple(InSet(m, _m_domain), LessEq(ModAbs(subtract(m, _b_floor), _two_pow_t), subtract(Exp(two, subtract(_t, _n)), one)))

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(m \in \{0~\ldotp \ldotp~2^{t} - 1\}, \left|m - b_{\textit{f}}\right|_{\textup{mod}\thinspace 2^{t}} \leq \left(2^{t - n} - 1\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	24, 7
5	Literal
6	ExprTuple	8, 9
7	Operation	operator: 10 operands: 11
8	Operation	operator: 12 operands: 13
9	Operation	operator: 31 operands: 14
10	Literal
11	ExprTuple	15, 16
12	Literal
13	ExprTuple	17, 22
14	ExprTuple	18, 23
15	Literal
16	Operation	operator: 31 operands: 19
17	Operation	operator: 31 operands: 20
18	Operation	operator: 27 operands: 21
19	ExprTuple	22, 23
20	ExprTuple	24, 25
21	ExprTuple	33, 26
22	Operation	operator: 27 operands: 28
23	Operation	operator: 38 operand: 34
24	Variable
25	Operation	operator: 38 operand: 35
26	Operation	operator: 31 operands: 32
27	Literal
28	ExprTuple	33, 36
29	ExprTuple	34
30	ExprTuple	35
31	Literal
32	ExprTuple	36, 37
33	Literal
34	Literal
35	Literal
36	Literal
37	Operation	operator: 38 operand: 40
38	Literal
39	ExprTuple	40
40	Literal