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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.core_expr_types import Len
from proveit.linear_algebra import VecSum
from proveit.numbers import one, six
from proveit.physics.quantum import bra_varphi, ket_psi
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(Len(operands = [gamma, delta, bra_varphi, alpha, VecSum(index_or_indices = sub_expr2, summand = Function(f, sub_expr2), condition = Function(Q, sub_expr2)), ket_psi]), Len(operands = [ExprRange(sub_expr1, sub_expr1, one, six)]))
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(|\left(\gamma, \delta, \langle \varphi \rvert, \alpha, \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), \lvert \psi \rangle\right)|, |\left(1, 2, \ldots, 6\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: 4
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple6, 7, 8, 9, 10, 11
4Literal
5ExprTuple12
6Variable
7Variable
8Operationoperator: 13
operand: 21
9Variable
10Operationoperator: 15
operand: 22
11Operationoperator: 17
operand: 23
12ExprRangelambda_map: 19
start_index: 32
end_index: 20
13Literal
14ExprTuple21
15Literal
16ExprTuple22
17Literal
18ExprTuple23
19Lambdaparameter: 37
body: 37
20Literal
21Variable
22Lambdaparameters: 29
body: 24
23Variable
24Conditionalvalue: 25
condition: 26
25Operationoperator: 27
operands: 29
26Operationoperator: 28
operands: 29
27Variable
28Variable
29ExprTuple30
30ExprRangelambda_map: 31
start_index: 32
end_index: 33
31Lambdaparameter: 37
body: 34
32Literal
33Variable
34IndexedVarvariable: 35
index: 37
35Variable
36ExprTuple37
37Variable