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 InSet
from proveit.numbers import ModAbs, greater
from proveit.physics.quantum.QPE import _full_domain, _two_pow_t

# build up the expression from sub-expressions
expr = ExprTuple(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(l \in \{-2^{t - 1} + 1~\ldotp \ldotp~2^{t - 1}\}, \left|l\right|_{\textup{mod}\thinspace 2^{t}} > e\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	15, 7
5	Literal
6	ExprTuple	8, 9
7	Operation	operator: 10 operands: 11
8	Variable
9	Operation	operator: 12 operands: 13
10	Literal
11	ExprTuple	14, 21
12	Literal
13	ExprTuple	15, 16
14	Operation	operator: 26 operands: 17
15	Variable
16	Operation	operator: 22 operands: 18
17	ExprTuple	19, 32
18	ExprTuple	24, 28
19	Operation	operator: 30 operand: 21
20	ExprTuple	21
21	Operation	operator: 22 operands: 23
22	Literal
23	ExprTuple	24, 25
24	Literal
25	Operation	operator: 26 operands: 27
26	Literal
27	ExprTuple	28, 29
28	Literal
29	Operation	operator: 30 operand: 32
30	Literal
31	ExprTuple	32
32	Literal