logo

Expression of type ExprTuple

from the theory of proveit.logic.sets.subtraction

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, ExprTuple, Lambda, x
from proveit.logic import Difference, InSet, NotInSet, Or
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Lambda([x, A, B], Conditional(Or(NotInSet(x, A), InSet(x, B)), NotInSet(x, Difference(A, B)))))
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, A, B\right) \mapsto \left\{\left(x \notin A\right) \lor \left(x \in B\right) \textrm{ if } x \notin \left(A - B\right)\right..\right)
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1
1Lambdaparameters: 2
body: 3
2ExprTuple18, 19, 20
3Conditionalvalue: 4
condition: 5
4Operationoperator: 6
operands: 7
5Operationoperator: 12
operands: 8
6Literal
7ExprTuple9, 10
8ExprTuple18, 11
9Operationoperator: 12
operands: 13
10Operationoperator: 14
operands: 15
11Operationoperator: 16
operands: 17
12Literal
13ExprTuple18, 19
14Literal
15ExprTuple18, 20
16Literal
17ExprTuple19, 20
18Variable
19Variable
20Variable