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Common x_in_any_A of type Or

from the theory of proveit.logic.sets

In [1]:
import proveit
# Automation is not needed when only 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 the special expression
from proveit.logic.sets import x_in_any_A
In [2]:
# check that the built expression is the same as the stored expression
assert x_in_any_A == stored_expr
assert x_in_any_A._style_id == stored_expr._style_id
print("Passed sanity check: x_in_any_A matches stored_expr")
Passed sanity check: x_in_any_A matches stored_expr
In [3]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left(x \in A_{1}\right) \lor  \left(x \in A_{2}\right) \lor  \ldots \lor  \left(x \in A_{m}\right)
In [4]:
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.()()('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',)
In [5]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 1
operands: 2
1Literal
2ExprTuple3
3ExprRangelambda_map: 4
start_index: 5
end_index: 6
4Lambdaparameter: 14
body: 7
5Literal
6Variable
7Operationoperator: 8
operands: 9
8Literal
9ExprTuple10, 11
10Variable
11IndexedVarvariable: 12
index: 14
12Variable
13ExprTuple14
14Variable