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

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

\left(1, -\left(\epsilon \cdot \frac{\left(3 \cdot \epsilon\right) + 1}{\left(\left(2 \cdot \epsilon\right) + 1\right)^{2}}\right)\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	21, 1
1	Operation	operator: 2 operand: 4
2	Literal
3	ExprTuple	4
4	Operation	operator: 22 operands: 5
5	ExprTuple	25, 6
6	Operation	operator: 7 operands: 8
7	Literal
8	ExprTuple	9, 10
9	Operation	operator: 17 operands: 11
10	Operation	operator: 12 operands: 13
11	ExprTuple	14, 21
12	Literal
13	ExprTuple	15, 24
14	Operation	operator: 22 operands: 16
15	Operation	operator: 17 operands: 18
16	ExprTuple	19, 25
17	Literal
18	ExprTuple	20, 21
19	Literal
20	Operation	operator: 22 operands: 23
21	Literal
22	Literal
23	ExprTuple	24, 25
24	Literal
25	Literal