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Expression of type ExprTuple

from the theory of proveit.logic.sets.equivalence

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 ExprTuple, Lambda, a, b, c, x
from proveit.logic import Equals, InSet, Set
from proveit.numbers import one, three, two
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Lambda(x, Equals(InSet(x, Set(one, two, three)), InSet(x, Set(a, b, c)))))
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(\left(x \in \left\{1, 2, 3\right\}\right) = \left(x \in \left\{a, b, c\right\}\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: 12
body: 3
2ExprTuple12
3Operationoperator: 4
operands: 5
4Literal
5ExprTuple6, 7
6Operationoperator: 9
operands: 8
7Operationoperator: 9
operands: 10
8ExprTuple12, 11
9Literal
10ExprTuple12, 13
11Operationoperator: 15
operands: 14
12Variable
13Operationoperator: 15
operands: 16
14ExprTuple17, 18, 19
15Literal
16ExprTuple20, 21, 22
17Literal
18Literal
19Literal
20Variable
21Variable
22Variable