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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, e
from proveit.numbers import Add, Exp, Mult, four, frac, one, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Exp(e, two)
expr = ExprTuple(Add(Mult(frac(one, two), frac(one, e)), Mult(frac(one, four), frac(one, sub_expr1))), Add(frac(one, Mult(two, e)), frac(one, Mult(four, 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(\left(\frac{1}{2} \cdot \frac{1}{e}\right) + \left(\frac{1}{4} \cdot \frac{1}{e^{2}}\right), \frac{1}{2 \cdot e} + \frac{1}{4 \cdot e^{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: 4
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple6, 7
4Literal
5ExprTuple8, 9
6Operationoperator: 26
operands: 10
7Operationoperator: 26
operands: 11
8Operationoperator: 23
operands: 12
9Operationoperator: 23
operands: 13
10ExprTuple14, 15
11ExprTuple16, 17
12ExprTuple28, 18
13ExprTuple28, 19
14Operationoperator: 23
operands: 20
15Operationoperator: 23
operands: 21
16Operationoperator: 23
operands: 22
17Operationoperator: 23
operands: 24
18Operationoperator: 26
operands: 25
19Operationoperator: 26
operands: 27
20ExprTuple28, 34
21ExprTuple28, 33
22ExprTuple28, 29
23Literal
24ExprTuple28, 30
25ExprTuple34, 33
26Literal
27ExprTuple29, 30
28Literal
29Literal
30Operationoperator: 31
operands: 32
31Literal
32ExprTuple33, 34
33Variable
34Literal