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Expression of type ExprTuple

from the theory of proveit.physics.quantum.circuits

In [1]:
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
In [2]:
# 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:
In [3]:
# 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
In [4]:
# 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)
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1
1Lambdaparameters: 15
body: 2
2Conditionalvalue: 3
condition: 4
3Operationoperator: 12
operand: 8
4Operationoperator: 6
operands: 7
5ExprTuple8
6Literal
7ExprTuple9, 10
8Operationoperator: 18
operand: 17
9Operationoperator: 12
operand: 16
10Operationoperator: 14
operands: 15
11ExprTuple17
12Variable
13ExprTuple16
14Literal
15ExprTuple20, 17
16Operationoperator: 18
operand: 20
17Variable
18Literal
19ExprTuple20
20Variable