Expression of type ExprTuple

from the theory of proveit.physics.quantum.circuits

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 Conditional, ExprTuple, Lambda, b
from proveit.logic import And, InClass, InSet, Set, SetOfAll
from proveit.numbers import one, zero
from proveit.physics.quantum import QubitSpace, normalized_var_ket_psi, var_ket_psi
from proveit.physics.quantum.circuits import qubit_meas
from proveit.statistics import SampleSpaces

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(var_ket_psi, Conditional(InClass(SetOfAll(instance_param_or_params = [b], instance_element = qubit_meas, domain = Set(zero, one)), SampleSpaces), And(InSet(var_ket_psi, QubitSpace), normalized_var_ket_psi))))

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(\lvert \psi \rangle \mapsto \left\{\left\{\begin{array}{c} \Qcircuit@C=1em @R=.7em{
\qin{\lvert \psi \rangle} & \meter & \qout{\lvert b \rangle}
} \end{array}\right\}_{b \in \left\{0, 1\right\}} \underset{{\scriptscriptstyle c}}{\in} \textrm{SampleSpaces} \textrm{ if } \lvert \psi \rangle \in \mathbb{C}^{2} ,  \left \|\lvert \psi \rangle\right \| = 1\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameter: 51 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operands: 6
4	Operation	operator: 7 operands: 8
5	Literal
6	ExprTuple	9, 10
7	Literal
8	ExprTuple	11, 12
9	Operation	operator: 13 operand: 18
10	Literal
11	Operation	operator: 32 operands: 15
12	Operation	operator: 16 operands: 17
13	Literal
14	ExprTuple	18
15	ExprTuple	51, 19
16	Literal
17	ExprTuple	20, 50
18	Lambda	parameter: 56 body: 21
19	Operation	operator: 22 operands: 23
20	Operation	operator: 24 operand: 51
21	Conditional	value: 26 condition: 27
22	Literal
23	ExprTuple	28, 29
24	Literal
25	ExprTuple	51
26	Operation	operator: 30 operands: 31
27	Operation	operator: 32 operands: 33
28	Literal
29	Literal
30	Literal
31	ExprTuple	34, 35, 36
32	Literal
33	ExprTuple	56, 37
34	ExprTuple	38
35	ExprTuple	39
36	ExprTuple	40
37	Operation	operator: 41 operands: 42
38	Operation	operator: 43 operands: 44
39	Operation	operator: 45 operands: 46
40	Operation	operator: 47 operands: 48
41	Literal
42	ExprTuple	49, 50
43	Literal
44	NamedExprs	state: 51
45	Literal
46	NamedExprs	basis: 52
47	Literal
48	NamedExprs	state: 53
49	Literal
50	Literal
51	Variable
52	Literal
53	Operation	operator: 54 operand: 56
54	Literal
55	ExprTuple	56
56	Variable