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Expression of type ExprTuple

from the theory of proveit.physics.quantum.algebra

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 B, D, ExprTuple, alpha, beta
from proveit.linear_algebra import VecAdd
from proveit.physics.quantum import Qmult, ket_psi, ket_varphi
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Qmult(B, ket_psi)
expr = ExprTuple(Qmult(alpha, D, beta, VecAdd(sub_expr1, ket_varphi)), VecAdd(Qmult(alpha, D, beta, sub_expr1), Qmult(alpha, D, beta, ket_varphi)))
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(\alpha \thinspace D \thinspace \beta \thinspace \left(\left(B \thinspace \lvert \psi \rangle\right) + \lvert \varphi \rangle\right), \left(\alpha \thinspace D \thinspace \beta \thinspace \left(B \thinspace \lvert \psi \rangle\right)\right) + \left(\alpha \thinspace D \thinspace \beta \thinspace \lvert \varphi \rangle\right)\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 2
1Operationoperator: 17
operands: 3
2Operationoperator: 8
operands: 4
3ExprTuple13, 14, 15, 5
4ExprTuple6, 7
5Operationoperator: 8
operands: 9
6Operationoperator: 17
operands: 10
7Operationoperator: 17
operands: 11
8Literal
9ExprTuple12, 16
10ExprTuple13, 14, 15, 12
11ExprTuple13, 14, 15, 16
12Operationoperator: 17
operands: 18
13Variable
14Variable
15Variable
16Operationoperator: 23
operand: 22
17Literal
18ExprTuple20, 21
19ExprTuple22
20Variable
21Operationoperator: 23
operand: 25
22Variable
23Literal
24ExprTuple25
25Variable