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Expression of type Equals

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 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 = Equals(Or(sub_expr1, sub_expr2, sub_expr3, sub_expr4, sub_expr5), Or(sub_expr1, sub_expr2, sub_expr3, sub_expr5, sub_expr4)).with_wrapping_at(2)
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())
\begin{array}{c} \begin{array}{l} \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)\right) =  \\ \left(\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) \end{array} \end{array}
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
operation'infix' or 'function' style formattinginfixinfix
wrap_positionsposition(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.()(2)('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'centercenter('with_justification',)
directionDirection of the relation (normal or reversed)normalnormal('with_direction_reversed', 'is_reversed')
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 16
operands: 1
1ExprTuple2, 3
2Operationoperator: 5
operands: 4
3Operationoperator: 5
operands: 6
4ExprTuple7, 8, 9, 11, 10
5Literal
6ExprTuple7, 8, 9, 10, 11
7Operationoperator: 16
operands: 12
8Operationoperator: 16
operands: 13
9Operationoperator: 16
operands: 14
10Operationoperator: 16
operands: 15
11Operationoperator: 16
operands: 17
12ExprTuple22, 18
13ExprTuple22, 19
14ExprTuple22, 20
15ExprTuple22, 21
16Literal
17ExprTuple22, 23
18Literal
19Literal
20Literal
21Literal
22Variable
23Literal