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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, a, b, c
from proveit.logic import Not, Set, SetEquiv, SetNotEquiv
from proveit.numbers import one, three, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Set(one, two, three)
sub_expr2 = Set(a, b, c)
expr = ExprTuple(SetNotEquiv(sub_expr1, sub_expr2), Not(SetEquiv(sub_expr1, sub_expr2)))
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\{1, 2, 3\right\} \ncong \left\{a, b, c\right\}, \lnot \left(\left\{1, 2, 3\right\} \cong \left\{a, b, c\right\}\right)\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
1Operationoperator: 3
operands: 8
2Operationoperator: 4
operand: 6
3Literal
4Literal
5ExprTuple6
6Operationoperator: 7
operands: 8
7Literal
8ExprTuple9, 10
9Operationoperator: 12
operands: 11
10Operationoperator: 12
operands: 13
11ExprTuple14, 15, 16
12Literal
13ExprTuple17, 18, 19
14Literal
15Literal
16Literal
17Variable
18Variable
19Variable