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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 ExprTuple, x
from proveit.logic import Equals, Or
from proveit.numbers import five, four, one, three, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Equals(x, one)
sub_expr2 = Equals(x, two)
sub_expr3 = Equals(x, three)
sub_expr4 = Equals(x, five)
sub_expr5 = Equals(x, four)
expr = ExprTuple(Or(sub_expr1, sub_expr2, sub_expr3, sub_expr4, sub_expr5), Or(sub_expr1, sub_expr2, sub_expr3, sub_expr5, sub_expr4))
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 = 1\right) \lor \left(x = 2\right) \lor \left(x = 3\right) \lor \left(x = 5\right) \lor \left(x = 4\right), \left(x = 1\right) \lor \left(x = 2\right) \lor \left(x = 3\right) \lor \left(x = 4\right) \lor \left(x = 5\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: 4
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple6, 7, 8, 10, 9
4Literal
5ExprTuple6, 7, 8, 9, 10
6Operationoperator: 15
operands: 11
7Operationoperator: 15
operands: 12
8Operationoperator: 15
operands: 13
9Operationoperator: 15
operands: 14
10Operationoperator: 15
operands: 16
11ExprTuple21, 17
12ExprTuple21, 18
13ExprTuple21, 19
14ExprTuple21, 20
15Literal
16ExprTuple21, 22
17Literal
18Literal
19Literal
20Literal
21Variable
22Literal