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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, Mult, frac, one, subtract, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = frac(one, two)
sub_expr2 = Mult(sub_expr1, t)
expr = ExprTuple(subtract(frac(Add(t, one), two), frac(t, two)), subtract(Add(sub_expr2, sub_expr1), 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(\frac{t + 1}{2} - \frac{t}{2}, \left(\left(\frac{1}{2} \cdot t\right) + \frac{1}{2}\right) - \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, 2
1Operationoperator: 17
operands: 3
2Operationoperator: 17
operands: 4
3ExprTuple5, 6
4ExprTuple7, 8
5Operationoperator: 24
operands: 9
6Operationoperator: 12
operand: 15
7Operationoperator: 17
operands: 11
8Operationoperator: 12
operand: 16
9ExprTuple14, 27
10ExprTuple15
11ExprTuple16, 22
12Literal
13ExprTuple16
14Operationoperator: 17
operands: 18
15Operationoperator: 24
operands: 19
16Operationoperator: 20
operands: 21
17Literal
18ExprTuple23, 26
19ExprTuple23, 27
20Literal
21ExprTuple22, 23
22Operationoperator: 24
operands: 25
23Variable
24Literal
25ExprTuple26, 27
26Literal
27Literal