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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, B, C, ExprTuple, alpha, beta
from proveit.linear_algebra import VecAdd
from proveit.physics.quantum import Qmult, bra_varphi, ket_psi
In [2]:
# build up the expression from sub-expressions
sub_expr1 = VecAdd(A, B, C)
expr = ExprTuple(Qmult(bra_varphi, alpha, sub_expr1, beta, ket_psi), Qmult(Qmult(bra_varphi, alpha, sub_expr1, beta), 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(\langle \varphi \rvert \thinspace \alpha \thinspace \left(A + B + C\right) \thinspace \beta \thinspace \lvert \psi \rangle, \left(\langle \varphi \rvert \thinspace \alpha \thinspace \left(A + B + C\right) \thinspace \beta\right) \thinspace \lvert \psi \rangle\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: 7
operands: 3
2Operationoperator: 7
operands: 4
3ExprTuple11, 12, 13, 14, 6
4ExprTuple5, 6
5Operationoperator: 7
operands: 8
6Operationoperator: 9
operand: 15
7Literal
8ExprTuple11, 12, 13, 14
9Literal
10ExprTuple15
11Operationoperator: 16
operand: 20
12Variable
13Operationoperator: 18
operands: 19
14Variable
15Variable
16Literal
17ExprTuple20
18Literal
19ExprTuple21, 22, 23
20Variable
21Variable
22Variable
23Variable