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.linear_algebra import Norm
from proveit.numbers import Add, Exp, sqrt, two
from proveit.physics.quantum import ket0, ket1

# build up the expression from sub-expressions
expr = ExprTuple(sqrt(Add(Exp(Norm(ket0), two), Exp(Norm(ket1), two))), sqrt(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(\sqrt{\left(\left \|\lvert 0 \rangle\right \|^{2} + \left \|\lvert 1 \rangle\right \|^{2}\right)}, \sqrt{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: 14 operands: 3
2	Operation	operator: 14 operands: 4
3	ExprTuple	5, 6
4	ExprTuple	18, 6
5	Operation	operator: 7 operands: 8
6	Operation	operator: 9 operands: 10
7	Literal
8	ExprTuple	11, 12
9	Literal
10	ExprTuple	28, 18
11	Operation	operator: 14 operands: 13
12	Operation	operator: 14 operands: 15
13	ExprTuple	16, 18
14	Literal
15	ExprTuple	17, 18
16	Operation	operator: 20 operand: 22
17	Operation	operator: 20 operand: 23
18	Literal
19	ExprTuple	22
20	Literal
21	ExprTuple	23
22	Operation	operator: 25 operand: 27
23	Operation	operator: 25 operand: 28
24	ExprTuple	27
25	Literal
26	ExprTuple	28
27	Literal
28	Literal