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Expression of type ExprTuple

from the theory of proveit.logic.sets.unification

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.core_expr_types import A_1_to_m
from proveit.logic import InSet, Union
from proveit.logic.sets import x_in_any_A
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(InSet(x, Union(A_1_to_m)), x_in_any_A)
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 \in \left(A_{1} \cup  A_{2} \cup  \ldots \cup  A_{m}\right), \left(x \in A_{1}\right) \lor  \left(x \in A_{2}\right) \lor  \ldots \lor  \left(x \in A_{m}\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: 16
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple18, 6
4Literal
5ExprTuple7
6Operationoperator: 8
operands: 9
7ExprRangelambda_map: 10
start_index: 14
end_index: 15
8Literal
9ExprTuple11
10Lambdaparameter: 22
body: 12
11ExprRangelambda_map: 13
start_index: 14
end_index: 15
12Operationoperator: 16
operands: 17
13Lambdaparameter: 22
body: 19
14Literal
15Variable
16Literal
17ExprTuple18, 19
18Variable
19IndexedVarvariable: 20
index: 22
20Variable
21ExprTuple22
22Variable