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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 ExprRange, ExprTuple, Function, IndexedVar, Q, Variable, alpha, c, delta, f, gamma, j
from proveit.linear_algebra import VecSum
from proveit.numbers import one
from proveit.physics.quantum import Qmult, bra_varphi
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = [ExprRange(sub_expr1, IndexedVar(c, sub_expr1), one, j)]
expr = ExprTuple(Qmult(gamma, delta, bra_varphi, alpha, VecSum(index_or_indices = sub_expr2, summand = Function(f, sub_expr2), condition = Function(Q, sub_expr2))))
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(\gamma \thinspace \delta \thinspace \langle \varphi \rvert \thinspace \alpha \thinspace \left[\sum_{c_{1}, c_{2}, \ldots, c_{j}~|~Q\left(c_{1}, c_{2}, \ldots, c_{j}\right)}~f\left(c_{1}, c_{2}, \ldots, c_{j}\right)\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
1Operationoperator: 2
operands: 3
2Literal
3ExprTuple4, 5, 6, 7, 8
4Variable
5Variable
6Operationoperator: 9
operand: 13
7Variable
8Operationoperator: 11
operand: 14
9Literal
10ExprTuple13
11Literal
12ExprTuple14
13Variable
14Lambdaparameters: 20
body: 15
15Conditionalvalue: 16
condition: 17
16Operationoperator: 18
operands: 20
17Operationoperator: 19
operands: 20
18Variable
19Variable
20ExprTuple21
21ExprRangelambda_map: 22
start_index: 23
end_index: 24
22Lambdaparameter: 28
body: 25
23Literal
24Variable
25IndexedVarvariable: 26
index: 28
26Variable
27ExprTuple28
28Variable