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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 A, ExprTuple, alpha, beta, gamma
from proveit.linear_algebra import ScalarMult
from proveit.numbers import Mult
from proveit.physics.quantum import Qmult, ket_psi
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Qmult(alpha, ScalarMult(beta, Qmult(A)), ket_psi, gamma), ScalarMult(Mult(alpha, beta, gamma), Qmult(A, ket_psi)))
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 \left(\beta \cdot \left[A\right]\right) \thinspace \lvert \psi \rangle \thinspace \gamma, \left(\alpha \cdot \beta \cdot \gamma\right) \cdot \left(A \thinspace \lvert \psi \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: 18
operands: 3
2Operationoperator: 8
operands: 4
3ExprTuple14, 5, 17, 16
4ExprTuple6, 7
5Operationoperator: 8
operands: 9
6Operationoperator: 10
operands: 11
7Operationoperator: 18
operands: 12
8Literal
9ExprTuple15, 13
10Literal
11ExprTuple14, 15, 16
12ExprTuple22, 17
13Operationoperator: 18
operand: 22
14Variable
15Variable
16Variable
17Operationoperator: 20
operand: 23
18Literal
19ExprTuple22
20Literal
21ExprTuple23
22Variable
23Variable