Expression of type Less

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.numbers import Add, Exp, Mult, Neg, frac, greater, one, three, two
from proveit.physics.quantum.QPE import _eps

# build up the expression from sub-expressions
expr = greater(Neg(Mult(_eps, frac(Add(Mult(three, _eps), one), Exp(Add(Mult(two, _eps), one), two)))), Neg(_eps))

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(\epsilon \cdot \frac{\left(3 \cdot \epsilon\right) + 1}{\left(\left(2 \cdot \epsilon\right) + 1\right)^{2}}\right)\right) > \left(-\epsilon\right)

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)
direction	Direction of the relation (normal or reversed)	normal	reversed	('with_direction_reversed', 'is_reversed')

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 1 operands: 2
1	Literal
2	ExprTuple	3, 4
3	Operation	operator: 6 operand: 29
4	Operation	operator: 6 operand: 8
5	ExprTuple	29
6	Literal
7	ExprTuple	8
8	Operation	operator: 26 operands: 9
9	ExprTuple	29, 10
10	Operation	operator: 11 operands: 12
11	Literal
12	ExprTuple	13, 14
13	Operation	operator: 21 operands: 15
14	Operation	operator: 16 operands: 17
15	ExprTuple	18, 25
16	Literal
17	ExprTuple	19, 28
18	Operation	operator: 26 operands: 20
19	Operation	operator: 21 operands: 22
20	ExprTuple	23, 29
21	Literal
22	ExprTuple	24, 25
23	Literal
24	Operation	operator: 26 operands: 27
25	Literal
26	Literal
27	ExprTuple	28, 29
28	Literal
29	Literal