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Expression of type Conditional

from the theory of proveit.logic.sets.enumeration

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 Conditional, x
from proveit.logic import Equals, InSet, Or, Set
from proveit.numbers import one, three, two
In [2]:
# build up the expression from sub-expressions
expr = Conditional(Or(Equals(x, one), Equals(x, two), Equals(x, three)), InSet(x, Set(one, two, three)))
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(x = 1\right) \lor \left(x = 2\right) \lor \left(x = 3\right) \textrm{ if } x \in \left\{1, 2, 3\right\}\right..
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
condition_delimiter'comma' or 'and'commacomma('with_comma_delimiter', 'with_conjunction_delimiter')
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Conditionalvalue: 1
condition: 2
1Operationoperator: 3
operands: 4
2Operationoperator: 5
operands: 6
3Literal
4ExprTuple7, 8, 9
5Literal
6ExprTuple17, 10
7Operationoperator: 13
operands: 11
8Operationoperator: 13
operands: 12
9Operationoperator: 13
operands: 14
10Operationoperator: 15
operands: 16
11ExprTuple17, 18
12ExprTuple17, 19
13Literal
14ExprTuple17, 20
15Literal
16ExprTuple18, 19, 20
17Variable
18Literal
19Literal
20Literal