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Expression of type ExprTuple

from the theory of proveit.physics.quantum.QPE

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, Variable, t
from proveit.core_expr_types import Len
from proveit.numbers import Add, Neg, one, zero
from proveit.physics.quantum import QubitSpace
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Add(Neg(t), one)
expr = ExprTuple(Len(operands = [ExprRange(Variable("_a", latex_format = r"{_{-}a}"), QubitSpace, sub_expr1, zero)]), Add(zero, Neg(sub_expr1), one))
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(\mathbb{C}^{2}, \mathbb{C}^{2}, ..\left(t - 3\right) \times.., \mathbb{C}^{2}\right)|, 0 - \left(-t + 1\right) + 1\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: 3
operands: 4
2Operationoperator: 17
operands: 5
3Literal
4ExprTuple6
5ExprTuple9, 7, 22
6ExprRangelambda_map: 8
start_index: 13
end_index: 9
7Operationoperator: 23
operand: 13
8Lambdaparameter: 14
body: 12
9Literal
10ExprTuple13
11ExprTuple14
12Operationoperator: 15
operands: 16
13Operationoperator: 17
operands: 18
14Variable
15Literal
16ExprTuple19, 20
17Literal
18ExprTuple21, 22
19Literal
20Literal
21Operationoperator: 23
operand: 25
22Literal
23Literal
24ExprTuple25
25Variable