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Expression of type ExprTuple

from the theory of proveit.logic.sets.inclusion

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, ExprTuple, Lambda, x
from proveit.logic import InSet, Set
from proveit.numbers import four, one, six, three
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Lambda(x, Conditional(InSet(x, Set(one, three, four, six)), InSet(x, Set(one, three, four)))))
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 \mapsto \left\{x \in \left\{1, 3, 4, 6\right\} \textrm{ if } x \in \left\{1, 3, 4\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
1Lambdaparameter: 10
body: 3
2ExprTuple10
3Conditionalvalue: 4
condition: 5
4Operationoperator: 7
operands: 6
5Operationoperator: 7
operands: 8
6ExprTuple10, 9
7Literal
8ExprTuple10, 11
9Operationoperator: 13
operands: 12
10Variable
11Operationoperator: 13
operands: 14
12ExprTuple16, 17, 18, 15
13Literal
14ExprTuple16, 17, 18
15Literal
16Literal
17Literal
18Literal