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Expression of type ExprTuple

from the theory of proveit.logic.sets.comprehension

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 ExprRange, ExprTuple, IndexedVar, S, Variable, n, x
from proveit.core_expr_types import R__x_1_to_n
from proveit.logic import InSet
from proveit.numbers import one
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(ExprRange(sub_expr1, InSet(IndexedVar(x, sub_expr1), IndexedVar(S, sub_expr1)), one, n), R__x_1_to_n)
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} \in S_{1}\right), \left(x_{2} \in S_{2}\right), \ldots, \left(x_{n} \in S_{n}\right), R\left(x_{1}, x_{2}, \ldots, x_{n}\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
1ExprRangelambda_map: 3
start_index: 11
end_index: 12
2Operationoperator: 4
operands: 5
3Lambdaparameter: 18
body: 6
4Variable
5ExprTuple7
6Operationoperator: 8
operands: 9
7ExprRangelambda_map: 10
start_index: 11
end_index: 12
8Literal
9ExprTuple14, 13
10Lambdaparameter: 18
body: 14
11Literal
12Variable
13IndexedVarvariable: 15
index: 18
14IndexedVarvariable: 16
index: 18
15Variable
16Variable
17ExprTuple18
18Variable