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Expression of type InSet

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.logic import InSet
from proveit.numbers import Exp, one, subtract, two
from proveit.physics.quantum.QPE import _e_domain, _n, _t
In [2]:
# build up the expression from sub-expressions
expr = InSet(subtract(Exp(two, subtract(_t, _n)), one), _e_domain)
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(2^{t - n} - 1\right) \in \{1~\ldotp \ldotp~2^{t - 1} - 2\}
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
operation'infix' or 'function' style formattinginfixinfix
wrap_positionsposition(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.()()('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'centercenter('with_justification',)
directionDirection of the relation (normal or reversed)normalnormal('with_direction_reversed', 'is_reversed')
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 1
operands: 2
1Literal
2ExprTuple3, 4
3Operationoperator: 23
operands: 5
4Operationoperator: 6
operands: 7
5ExprTuple8, 27
6Literal
7ExprTuple30, 9
8Operationoperator: 16
operands: 10
9Operationoperator: 23
operands: 11
10ExprTuple21, 12
11ExprTuple13, 14
12Operationoperator: 23
operands: 15
13Operationoperator: 16
operands: 17
14Operationoperator: 28
operand: 21
15ExprTuple26, 19
16Literal
17ExprTuple21, 20
18ExprTuple21
19Operationoperator: 28
operand: 25
20Operationoperator: 23
operands: 24
21Literal
22ExprTuple25
23Literal
24ExprTuple26, 27
25Literal
26Literal
27Operationoperator: 28
operand: 30
28Literal
29ExprTuple30
30Literal