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

# build up the expression from sub-expressions
sub_expr1 = Exp(_eps, two)
sub_expr2 = frac(one, _eps)
sub_expr3 = Add(three, sub_expr2)
sub_expr4 = Mult(sub_expr1, Exp(Add(two, sub_expr2), two))
expr = ExprTuple(frac(Mult(sub_expr1, sub_expr3), sub_expr4), frac(Mult(_eps, Mult(Exp(_eps, subtract(two, one)), sub_expr3)), sub_expr4))

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{\epsilon^{2} \cdot \left(3 + \frac{1}{\epsilon}\right)}{\epsilon^{2} \cdot \left(2 + \frac{1}{\epsilon}\right)^{2}}, \frac{\epsilon \cdot \left(\epsilon^{2 - 1} \cdot \left(3 + \frac{1}{\epsilon}\right)\right)}{\epsilon^{2} \cdot \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: 30 operands: 3
2	Operation	operator: 30 operands: 4
3	ExprTuple	5, 7
4	ExprTuple	6, 7
5	Operation	operator: 14 operands: 8
6	Operation	operator: 14 operands: 9
7	Operation	operator: 14 operands: 10
8	ExprTuple	12, 19
9	ExprTuple	34, 11
10	ExprTuple	12, 13
11	Operation	operator: 14 operands: 15
12	Operation	operator: 21 operands: 16
13	Operation	operator: 21 operands: 17
14	Literal
15	ExprTuple	18, 19
16	ExprTuple	34, 32
17	ExprTuple	20, 32
18	Operation	operator: 21 operands: 22
19	Operation	operator: 28 operands: 23
20	Operation	operator: 28 operands: 24
21	Literal
22	ExprTuple	34, 25
23	ExprTuple	26, 27
24	ExprTuple	32, 27
25	Operation	operator: 28 operands: 29
26	Literal
27	Operation	operator: 30 operands: 31
28	Literal
29	ExprTuple	32, 33
30	Literal
31	ExprTuple	37, 34
32	Literal
33	Operation	operator: 35 operand: 37
34	Literal
35	Literal
36	ExprTuple	37
37	Literal