Expression of type Conditional

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, Function, 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 = 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\{Q\left(\textrm{Pr}\left(B\right)\right) \textrm{ if } Q\left(\textrm{Pr}\left(A\right)\right) ,  A \cong B\right..

stored_expr.style_options()

name	description	default	current value	related methods
condition_delimiter	'comma' or 'and'	comma	comma	('with_comma_delimiter', 'with_conjunction_delimiter')

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Conditional	value: 1 condition: 2
1	Operation	operator: 10 operand: 6
2	Operation	operator: 4 operands: 5
3	ExprTuple	6
4	Literal
5	ExprTuple	7, 8
6	Operation	operator: 16 operand: 15
7	Operation	operator: 10 operand: 14
8	Operation	operator: 12 operands: 13
9	ExprTuple	15
10	Variable
11	ExprTuple	14
12	Literal
13	ExprTuple	18, 15
14	Operation	operator: 16 operand: 18
15	Variable
16	Literal
17	ExprTuple	18
18	Variable