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Expression of type ProperSubset

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 e
from proveit.logic import ProperSubset
from proveit.numbers import Add, Integer, Interval, one, subtract
from proveit.physics.quantum.QPE import _two_pow__t_minus_one
In [2]:
# build up the expression from sub-expressions
expr = ProperSubset(Interval(Add(e, one), subtract(_two_pow__t_minus_one, one)), Integer)
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())
\{e + 1~\ldotp \ldotp~2^{t - 1} - 1\} \subset \mathbb{Z}
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: 5
operands: 6
4Literal
5Literal
6ExprTuple7, 8
7Operationoperator: 17
operands: 9
8Operationoperator: 17
operands: 10
9ExprTuple11, 23
10ExprTuple12, 20
11Variable
12Operationoperator: 13
operands: 14
13Literal
14ExprTuple15, 16
15Literal
16Operationoperator: 17
operands: 18
17Literal
18ExprTuple19, 20
19Literal
20Operationoperator: 21
operand: 23
21Literal
22ExprTuple23
23Literal