logo

Expression of type ExprTuple

from the theory of proveit.logic.booleans

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, C, Conditional, ExprTuple
from proveit.logic import And, Boolean, Implies, InSet, Not
In [2]:
# build up the expression from sub-expressions
sub_expr1 = InSet(A, Boolean)
sub_expr2 = Implies(A, C)
sub_expr3 = Implies(Not(A), C)
expr = ExprTuple(Conditional(C, And(sub_expr1, And(sub_expr2, sub_expr3))), Conditional(C, And(sub_expr1, sub_expr2, sub_expr3)))
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(C \textrm{ if } A \in \mathbb{B} ,  \left(A \Rightarrow C\right) \land \left((\lnot A) \Rightarrow C\right), C \textrm{ if } A \in \mathbb{B} ,  A \Rightarrow C ,  (\lnot A) \Rightarrow C\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
1Conditionalvalue: 20
condition: 3
2Conditionalvalue: 20
condition: 4
3Operationoperator: 9
operands: 5
4Operationoperator: 9
operands: 6
5ExprTuple8, 7
6ExprTuple8, 13, 14
7Operationoperator: 9
operands: 10
8Operationoperator: 11
operands: 12
9Literal
10ExprTuple13, 14
11Literal
12ExprTuple23, 15
13Operationoperator: 17
operands: 16
14Operationoperator: 17
operands: 18
15Literal
16ExprTuple23, 20
17Literal
18ExprTuple19, 20
19Operationoperator: 21
operand: 23
20Variable
21Literal
22ExprTuple23
23Variable