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

# build up the expression from sub-expressions
sub_expr1 = Add(two, frac(one, _eps))
sub_expr2 = Exp(sub_expr1, two)
expr = ExprTuple(Neg(frac(sub_expr1, sub_expr2)), Neg(frac(one, sub_expr2)))

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(-\frac{2 + \frac{1}{\epsilon}}{\left(2 + \frac{1}{\epsilon}\right)^{2}}, -\frac{1}{\left(2 + \frac{1}{\epsilon}\right)^{2}}\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: 4 operand: 6
2	Operation	operator: 4 operand: 7
3	ExprTuple	6
4	Literal
5	ExprTuple	7
6	Operation	operator: 18 operands: 8
7	Operation	operator: 18 operands: 9
8	ExprTuple	13, 10
9	ExprTuple	20, 10
10	Operation	operator: 11 operands: 12
11	Literal
12	ExprTuple	13, 16
13	Operation	operator: 14 operands: 15
14	Literal
15	ExprTuple	16, 17
16	Literal
17	Operation	operator: 18 operands: 19
18	Literal
19	ExprTuple	20, 21
20	Literal
21	Literal