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Expression of type ExprTuple

from the theory of proveit.physics.quantum.circuits

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, ExprRange, ExprTuple, IndexedVar, Variable, m, n
from proveit.logic import CartExp, InSet
from proveit.numbers import Complex, Exp, one, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(ExprRange(sub_expr1, InSet(IndexedVar(A, sub_expr1), CartExp(Complex, Exp(two, IndexedVar(n, sub_expr1)))), one, m))
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} \in \mathbb{C}^{2^{n_{1}}}\right), \left(A_{2} \in \mathbb{C}^{2^{n_{2}}}\right), \ldots, \left(A_{m} \in \mathbb{C}^{2^{n_{m}}}\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: 3
end_index: 4
2Lambdaparameter: 21
body: 5
3Literal
4Variable
5Operationoperator: 6
operands: 7
6Literal
7ExprTuple8, 9
8IndexedVarvariable: 10
index: 21
9Operationoperator: 11
operands: 12
10Variable
11Literal
12ExprTuple13, 14
13Literal
14Operationoperator: 15
operands: 16
15Literal
16ExprTuple17, 18
17Literal
18IndexedVarvariable: 19
index: 21
19Variable
20ExprTuple21
21Variable