Expression of type Add

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, frac, one, subtract, two
from proveit.physics.quantum.QPE import _eps

# build up the expression from sub-expressions
sub_expr1 = Add(two, frac(one, _eps))
expr = subtract(one, frac(Add(sub_expr1, one), Exp(sub_expr1, two)))

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())

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

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',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 13 operands: 1
1	ExprTuple	19, 2
2	Operation	operator: 3 operand: 5
3	Literal
4	ExprTuple	5
5	Operation	operator: 17 operands: 6
6	ExprTuple	7, 8
7	Operation	operator: 13 operands: 9
8	Operation	operator: 10 operands: 11
9	ExprTuple	12, 19
10	Literal
11	ExprTuple	12, 15
12	Operation	operator: 13 operands: 14
13	Literal
14	ExprTuple	15, 16
15	Literal
16	Operation	operator: 17 operands: 18
17	Literal
18	ExprTuple	19, 20
19	Literal
20	Literal