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Expression of type Conditional

from the theory of proveit.logic.booleans.disjunction

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 A, B, Conditional
from proveit.logic import And, Boolean, InSet, Not, Or
In [2]:
# build up the expression from sub-expressions
expr = Conditional(B, And(InSet(A, Boolean), InSet(B, Boolean), Or(A, B), Not(A)))
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\{B \textrm{ if } A \in \mathbb{B} ,  B \in \mathbb{B} ,  A \lor B ,  \lnot A\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: 16
condition: 1
1Operationoperator: 2
operands: 3
2Literal
3ExprTuple4, 5, 6, 7
4Operationoperator: 9
operands: 8
5Operationoperator: 9
operands: 10
6Operationoperator: 11
operands: 12
7Operationoperator: 13
operand: 17
8ExprTuple17, 15
9Literal
10ExprTuple16, 15
11Literal
12ExprTuple17, 16
13Literal
14ExprTuple17
15Literal
16Variable
17Variable