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, e, l
from proveit.logic import And, InSet
from proveit.numbers import ModAbs, greater
from proveit.physics.quantum.QPE import _e_domain, _full_domain, _two_pow_t

# build up the expression from sub-expressions
expr = ExprTuple(InSet(e, _e_domain), And(InSet(l, _full_domain), greater(ModAbs(l, _two_pow_t), e)))

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(e \in \{1~\ldotp \ldotp~2^{t - 1} - 2\}, \left(l \in \{-2^{t - 1} + 1~\ldotp \ldotp~2^{t - 1}\}\right) \land \left(\left|l\right|_{\textup{mod}\thinspace 2^{t}} > e\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: 10 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	16, 6
4	Literal
5	ExprTuple	7, 8
6	Operation	operator: 19 operands: 9
7	Operation	operator: 10 operands: 11
8	Operation	operator: 12 operands: 13
9	ExprTuple	43, 14
10	Literal
11	ExprTuple	25, 15
12	Literal
13	ExprTuple	16, 17
14	Operation	operator: 37 operands: 18
15	Operation	operator: 19 operands: 20
16	Variable
17	Operation	operator: 21 operands: 22
18	ExprTuple	32, 23
19	Literal
20	ExprTuple	24, 32
21	Literal
22	ExprTuple	25, 26
23	Operation	operator: 41 operand: 35
24	Operation	operator: 37 operands: 28
25	Variable
26	Operation	operator: 33 operands: 29
27	ExprTuple	35
28	ExprTuple	30, 43
29	ExprTuple	35, 39
30	Operation	operator: 41 operand: 32
31	ExprTuple	32
32	Operation	operator: 33 operands: 34
33	Literal
34	ExprTuple	35, 36
35	Literal
36	Operation	operator: 37 operands: 38
37	Literal
38	ExprTuple	39, 40
39	Literal
40	Operation	operator: 41 operand: 43
41	Literal
42	ExprTuple	43
43	Literal