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, four, one, two
from proveit.physics.quantum.QPE import _eps

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

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