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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 ExprTuple, t
from proveit.numbers import Add, Exp, Mult, frac, one, subtract, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = frac(t, two)
sub_expr2 = frac(Add(t, one), two)
expr = ExprTuple(frac(one, Exp(two, sub_expr2)), Mult(frac(one, Exp(two, subtract(sub_expr2, sub_expr1))), frac(one, Exp(two, sub_expr1))))
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(\frac{1}{2^{\frac{t + 1}{2}}}, \frac{1}{2^{\frac{t + 1}{2} - \frac{t}{2}}} \cdot \frac{1}{2^{\frac{t}{2}}}\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: 28
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple30, 6
4Literal
5ExprTuple7, 8
6Operationoperator: 15
operands: 9
7Operationoperator: 28
operands: 10
8Operationoperator: 28
operands: 11
9ExprTuple32, 19
10ExprTuple30, 12
11ExprTuple30, 13
12Operationoperator: 15
operands: 14
13Operationoperator: 15
operands: 16
14ExprTuple32, 17
15Literal
16ExprTuple32, 25
17Operationoperator: 26
operands: 18
18ExprTuple19, 20
19Operationoperator: 28
operands: 21
20Operationoperator: 22
operand: 25
21ExprTuple24, 32
22Literal
23ExprTuple25
24Operationoperator: 26
operands: 27
25Operationoperator: 28
operands: 29
26Literal
27ExprTuple31, 30
28Literal
29ExprTuple31, 32
30Literal
31Variable
32Literal