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, frac, one, sqrt, two
from proveit.physics.quantum import ket0, ket1

# build up the expression from sub-expressions
expr = ExprTuple(frac(one, sqrt(two)), sqrt(Add(Exp(Norm(ket0), two), Exp(Norm(ket1), 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(\frac{1}{\sqrt{2}}, \sqrt{\left(\left \|\lvert 0 \rangle\right \|^{2} + \left \|\lvert 1 \rangle\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	1, 2
1	Operation	operator: 13 operands: 3
2	Operation	operator: 16 operands: 4
3	ExprTuple	30, 5
4	ExprTuple	6, 10
5	Operation	operator: 16 operands: 7
6	Operation	operator: 8 operands: 9
7	ExprTuple	20, 10
8	Literal
9	ExprTuple	11, 12
10	Operation	operator: 13 operands: 14
11	Operation	operator: 16 operands: 15
12	Operation	operator: 16 operands: 17
13	Literal
14	ExprTuple	30, 20
15	ExprTuple	18, 20
16	Literal
17	ExprTuple	19, 20
18	Operation	operator: 22 operand: 24
19	Operation	operator: 22 operand: 25
20	Literal
21	ExprTuple	24
22	Literal
23	ExprTuple	25
24	Operation	operator: 27 operand: 29
25	Operation	operator: 27 operand: 30
26	ExprTuple	29
27	Literal
28	ExprTuple	30
29	Literal
30	Literal