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
from proveit.numbers import Add, LessEq, Neg, one
from proveit.physics.quantum.QPE import _two_pow__t_minus_one

# build up the expression from sub-expressions
sub_expr1 = Neg(Add(e, one))
sub_expr2 = Add(Neg(_two_pow__t_minus_one), one)
expr = ExprTuple(LessEq(sub_expr2, sub_expr2), LessEq(sub_expr2, sub_expr1), LessEq(sub_expr1, _two_pow__t_minus_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(\left(-2^{t - 1} + 1\right) \leq \left(-2^{t - 1} + 1\right), \left(-2^{t - 1} + 1\right) \leq \left(-\left(e + 1\right)\right), \left(-\left(e + 1\right)\right) \leq 2^{t - 1}\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, 3
1	Operation	operator: 6 operands: 4
2	Operation	operator: 6 operands: 5
3	Operation	operator: 6 operands: 7
4	ExprTuple	8, 8
5	ExprTuple	8, 9
6	Literal
7	ExprTuple	9, 16
8	Operation	operator: 22 operands: 10
9	Operation	operator: 26 operand: 13
10	ExprTuple	12, 28
11	ExprTuple	13
12	Operation	operator: 26 operand: 16
13	Operation	operator: 22 operands: 15
14	ExprTuple	16
15	ExprTuple	17, 28
16	Operation	operator: 18 operands: 19
17	Variable
18	Literal
19	ExprTuple	20, 21
20	Literal
21	Operation	operator: 22 operands: 23
22	Literal
23	ExprTuple	24, 25
24	Literal
25	Operation	operator: 26 operand: 28
26	Literal
27	ExprTuple	28
28	Literal