logo

Expression of type ExprTuple

from the theory of proveit.numbers.number_sets.real_numbers

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, a, b, x
from proveit.logic import And, InSet
from proveit.numbers import IntervalOC, Less, LessEq, Real
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(InSet(x, IntervalOC(a, b)), And(InSet(x, Real), And(Less(a, x), LessEq(x, b)).with_total_ordering_style()))
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(x \in \left(a,b\right], \left(x \in \mathbb{R}\right) \land \left(a < x \leq b\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: 10
operands: 3
2Operationoperator: 12
operands: 4
3ExprTuple22, 5
4ExprTuple6, 7
5Operationoperator: 8
operands: 9
6Operationoperator: 10
operands: 11
7Operationoperator: 12
operands: 13
8Literal
9ExprTuple21, 23
10Literal
11ExprTuple22, 14
12Literal
13ExprTuple15, 16
14Literal
15Operationoperator: 17
operands: 18
16Operationoperator: 19
operands: 20
17Literal
18ExprTuple21, 22
19Literal
20ExprTuple22, 23
21Variable
22Variable
23Variable