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, Bijections, 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

# build up the expression from sub-expressions
sub_expr1 = Set(zero, one)
expr = ExprTuple(Lambda(var_ket_psi, Conditional(InSet(Lambda(b, qubit_meas), Bijections(sub_expr1, SetOfAll(instance_param_or_params = [b], instance_element = qubit_meas, domain = sub_expr1))).with_wrapping_at(2), 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\{\begin{array}{c} \begin{array}{l} \left[b \mapsto \left(\begin{array}{c} \Qcircuit@C=1em @R=.7em{
\qin{\lvert \psi \rangle} & \meter & \qout{\lvert b \rangle}
} \end{array}\right)\right] \in  \\ \left[\left\{0, 1\right\} \xrightarrow[\text{onto}]{\text{1-to-1}} \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\}}\right] \end{array} \end{array} \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: 53 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 34 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	8, 9
6	Literal
7	ExprTuple	10, 11
8	Lambda	parameter: 58 body: 30
9	Operation	operator: 12 operands: 13
10	Operation	operator: 34 operands: 14
11	Operation	operator: 15 operands: 16
12	Literal
13	ExprTuple	39, 17
14	ExprTuple	53, 18
15	Literal
16	ExprTuple	19, 52
17	Operation	operator: 20 operand: 26
18	Operation	operator: 22 operands: 23
19	Operation	operator: 24 operand: 53
20	Literal
21	ExprTuple	26
22	Literal
23	ExprTuple	27, 28
24	Literal
25	ExprTuple	53
26	Lambda	parameter: 58 body: 29
27	Literal
28	Literal
29	Conditional	value: 30 condition: 31
30	Operation	operator: 32 operands: 33
31	Operation	operator: 34 operands: 35
32	Literal
33	ExprTuple	36, 37, 38
34	Literal
35	ExprTuple	58, 39
36	ExprTuple	40
37	ExprTuple	41
38	ExprTuple	42
39	Operation	operator: 43 operands: 44
40	Operation	operator: 45 operands: 46
41	Operation	operator: 47 operands: 48
42	Operation	operator: 49 operands: 50
43	Literal
44	ExprTuple	51, 52
45	Literal
46	NamedExprs	state: 53
47	Literal
48	NamedExprs	basis: 54
49	Literal
50	NamedExprs	state: 55
51	Literal
52	Literal
53	Variable
54	Literal
55	Operation	operator: 56 operand: 58
56	Literal
57	ExprTuple	58
58	Variable