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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 B, ExprRange, ExprTuple, IndexedVar, Variable, i
from proveit.core_expr_types import A_1_to_m, C_1_to_n
from proveit.numbers import one
from proveit.physics.quantum import Qmult
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_b", latex_format = r"{_{-}b}")
expr = ExprTuple(ExprRange(sub_expr1, Qmult(A_1_to_m, IndexedVar(B, sub_expr1), C_1_to_n), one, i))
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(A_{1} \thinspace  A_{2} \thinspace  \ldots \thinspace  A_{m} \thinspace B_{1}\thinspace C_{1} \thinspace  C_{2} \thinspace  \ldots \thinspace  C_{n}\right), \left(A_{1} \thinspace  A_{2} \thinspace  \ldots \thinspace  A_{m} \thinspace B_{2}\thinspace C_{1} \thinspace  C_{2} \thinspace  \ldots \thinspace  C_{n}\right), \ldots, \left(A_{1} \thinspace  A_{2} \thinspace  \ldots \thinspace  A_{m} \thinspace B_{i}\thinspace C_{1} \thinspace  C_{2} \thinspace  \ldots \thinspace  C_{n}\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
1ExprRangelambda_map: 2
start_index: 15
end_index: 3
2Lambdaparameter: 18
body: 4
3Variable
4Operationoperator: 5
operands: 6
5Literal
6ExprTuple7, 8, 9
7ExprRangelambda_map: 10
start_index: 15
end_index: 11
8IndexedVarvariable: 12
index: 18
9ExprRangelambda_map: 14
start_index: 15
end_index: 16
10Lambdaparameter: 23
body: 17
11Variable
12Variable
13ExprTuple18
14Lambdaparameter: 23
body: 19
15Literal
16Variable
17IndexedVarvariable: 20
index: 23
18Variable
19IndexedVarvariable: 21
index: 23
20Variable
21Variable
22ExprTuple23
23Variable