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, Mult, Neg, Real, frac, one, three, two
from proveit.physics.quantum.QPE import _eps

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

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), \mathbb{R}\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 operand: 5
2	Literal
3	Literal
4	ExprTuple	5
5	Operation	operator: 23 operands: 6
6	ExprTuple	26, 7
7	Operation	operator: 8 operands: 9
8	Literal
9	ExprTuple	10, 11
10	Operation	operator: 18 operands: 12
11	Operation	operator: 13 operands: 14
12	ExprTuple	15, 22
13	Literal
14	ExprTuple	16, 25
15	Operation	operator: 23 operands: 17
16	Operation	operator: 18 operands: 19
17	ExprTuple	20, 26
18	Literal
19	ExprTuple	21, 22
20	Literal
21	Operation	operator: 23 operands: 24
22	Literal
23	Literal
24	ExprTuple	25, 26
25	Literal
26	Literal