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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
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = Neg(one)
sub_expr3 = Neg(t)
expr = ExprTuple([ExprRange(sub_expr1, Add(sub_expr1, sub_expr2, t), Add(sub_expr3, two), one)], [ExprRange(sub_expr1, Add(Add(sub_expr1, Add(sub_expr3, one)), sub_expr2, t), one, t)])
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(-t + 2\right) - 1 + t\right), \left(\left(-t + 3\right) - 1 + t\right), \ldots, \left(1 - 1 + t\right)\right), \left(\left(\left(1 + \left(-t + 1\right)\right) - 1 + t\right), \left(\left(2 + \left(-t + 1\right)\right) - 1 + t\right), \ldots, \left(\left(t + \left(-t + 1\right)\right) - 1 + t\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
1ExprTuple3
2ExprTuple4
3ExprRangelambda_map: 5
start_index: 6
end_index: 24
4ExprRangelambda_map: 7
start_index: 24
end_index: 27
5Lambdaparameter: 19
body: 8
6Operationoperator: 21
operands: 9
7Lambdaparameter: 19
body: 11
8Operationoperator: 21
operands: 12
9ExprTuple23, 13
10ExprTuple19
11Operationoperator: 21
operands: 14
12ExprTuple19, 16, 27
13Literal
14ExprTuple15, 16, 27
15Operationoperator: 21
operands: 17
16Operationoperator: 25
operand: 24
17ExprTuple19, 20
18ExprTuple24
19Variable
20Operationoperator: 21
operands: 22
21Literal
22ExprTuple23, 24
23Operationoperator: 25
operand: 27
24Literal
25Literal
26ExprTuple27
27Variable