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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, delta, gamma
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, gamma, bra_varphi, delta), Qmult(Qmult(bra_varphi, alpha, sub_expr1, beta, ket_psi, gamma, bra_varphi), delta))
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 \thinspace \gamma \thinspace \langle \varphi \rvert \thinspace \delta, \left(\langle \varphi \rvert \thinspace \alpha \thinspace \left(A + B + C\right) \thinspace \beta \thinspace \lvert \psi \rangle \thinspace \gamma \thinspace \langle \varphi \rvert\right) \thinspace \delta\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
3ExprTuple14, 9, 10, 11, 12, 13, 14, 6
4ExprTuple5, 6
5Operationoperator: 7
operands: 8
6Variable
7Literal
8ExprTuple14, 9, 10, 11, 12, 13, 14
9Variable
10Operationoperator: 15
operands: 16
11Variable
12Operationoperator: 17
operand: 24
13Variable
14Operationoperator: 19
operand: 25
15Literal
16ExprTuple21, 22, 23
17Literal
18ExprTuple24
19Literal
20ExprTuple25
21Variable
22Variable
23Variable
24Variable
25Variable