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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 Exp, Mult, Neg, frac, one, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = frac(one, two)
sub_expr2 = Mult(Exp(two, Neg(sub_expr1)), Exp(two, Neg(Mult(sub_expr1, t))))
expr = ExprTuple(Mult(one, sub_expr2), sub_expr2)
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(1 \cdot \left(2^{-\frac{1}{2}} \cdot 2^{-\left(\frac{1}{2} \cdot t\right)}\right), 2^{-\frac{1}{2}} \cdot 2^{-\left(\frac{1}{2} \cdot t\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, 3
1Operationoperator: 16
operands: 2
2ExprTuple22, 3
3Operationoperator: 16
operands: 4
4ExprTuple5, 6
5Operationoperator: 8
operands: 7
6Operationoperator: 8
operands: 9
7ExprTuple23, 10
8Literal
9ExprTuple23, 11
10Operationoperator: 13
operand: 18
11Operationoperator: 13
operand: 15
12ExprTuple18
13Literal
14ExprTuple15
15Operationoperator: 16
operands: 17
16Literal
17ExprTuple18, 19
18Operationoperator: 20
operands: 21
19Variable
20Literal
21ExprTuple22, 23
22Literal
23Literal