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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.logic import Equals
from proveit.numbers import Add, Neg, one, subtract, two, zero
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(Len(operands = [ExprRange(sub_expr1, Equals(Add(sub_expr1, t), Add(Add(sub_expr1, Neg(one), t), one)), Add(Neg(t), two), zero)]), Len(operands = [ExprRange(sub_expr1, sub_expr1, one, subtract(t, 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(\left(\left(\left(-t + 2\right) + t\right) = \left(\left(\left(-t + 2\right) - 1 + t\right) + 1\right)\right), \left(\left(\left(-t + 3\right) + t\right) = \left(\left(\left(-t + 3\right) - 1 + t\right) + 1\right)\right), \ldots, \left(\left(0 + t\right) = \left(\left(0 - 1 + t\right) + 1\right)\right)\right)|, |\left(1, 2, \ldots, \left(t - 1\right)\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
4Literal
5ExprTuple7
6ExprRangelambda_map: 8
start_index: 9
end_index: 10
7ExprRangelambda_map: 11
start_index: 34
end_index: 12
8Lambdaparameter: 29
body: 13
9Operationoperator: 27
operands: 14
10Literal
11Lambdaparameter: 29
body: 29
12Operationoperator: 27
operands: 16
13Operationoperator: 17
operands: 18
14ExprTuple19, 20
15ExprTuple29
16ExprTuple31, 30
17Literal
18ExprTuple21, 22
19Operationoperator: 32
operand: 31
20Literal
21Operationoperator: 27
operands: 24
22Operationoperator: 27
operands: 25
23ExprTuple31
24ExprTuple29, 31
25ExprTuple26, 34
26Operationoperator: 27
operands: 28
27Literal
28ExprTuple29, 30, 31
29Variable
30Operationoperator: 32
operand: 34
31Variable
32Literal
33ExprTuple34
34Literal