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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.numbers import Add, Neg, one, two, zero
from proveit.physics.quantum.QPE import _s
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(zero, ExprRange(sub_expr1, Add(sub_expr1, Neg(one), t), Add(Neg(t), two), zero), t, Add(t, _s))
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(0,\left(\left(-t + 2\right) - 1 + t\right), \left(\left(-t + 3\right) - 1 + t\right), \ldots, \left(0 - 1 + t\right), t, t + s\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
0ExprTuple5, 1, 20, 2
1ExprRangelambda_map: 3
start_index: 4
end_index: 5
2Operationoperator: 11
operands: 6
3Lambdaparameter: 15
body: 8
4Operationoperator: 11
operands: 9
5Literal
6ExprTuple20, 10
7ExprTuple15
8Operationoperator: 11
operands: 12
9ExprTuple13, 14
10Literal
11Literal
12ExprTuple15, 16, 20
13Operationoperator: 18
operand: 20
14Literal
15Variable
16Operationoperator: 18
operand: 21
17ExprTuple20
18Literal
19ExprTuple21
20Variable
21Literal