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 A, B, Conditional, ExprTuple, Function, Lambda, Q
from proveit.logic import And
from proveit.physics.quantum.circuits import QcircuitEquiv
from proveit.statistics import Prob

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([A, B], Conditional(Function(Q, [Prob(B)]), And(Function(Q, [Prob(A)]), QcircuitEquiv(A, B)))))

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(\left(A, B\right) \mapsto \left\{Q\left(\textrm{Pr}\left(B\right)\right) \textrm{ if } Q\left(\textrm{Pr}\left(A\right)\right) ,  A \cong B\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	parameters: 15 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 12 operand: 8
4	Operation	operator: 6 operands: 7
5	ExprTuple	8
6	Literal
7	ExprTuple	9, 10
8	Operation	operator: 18 operand: 17
9	Operation	operator: 12 operand: 16
10	Operation	operator: 14 operands: 15
11	ExprTuple	17
12	Variable
13	ExprTuple	16
14	Literal
15	ExprTuple	20, 17
16	Operation	operator: 18 operand: 20
17	Variable
18	Literal
19	ExprTuple	20
20	Variable