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Expression of type ExprTuple

from the theory of proveit.logic.sets.disjointness

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
from proveit.core_expr_types import x_1_to_n
from proveit.logic import Disjoint, Distinct
from proveit.logic.sets import x_singletons_range
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Distinct(x_1_to_n), Disjoint(x_singletons_range))
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(\textrm{distinct}\left(x_{1}, x_{2}, \ldots, x_{n}\right), \textrm{disjoint}\left(\left\{x_{1}\right\}, \left\{x_{2}\right\}, \ldots, \left\{x_{n}\right\}\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: 3
operands: 4
2Operationoperator: 5
operands: 6
3Literal
4ExprTuple7
5Literal
6ExprTuple8
7ExprRangelambda_map: 9
start_index: 11
end_index: 12
8ExprRangelambda_map: 10
start_index: 11
end_index: 12
9Lambdaparameter: 19
body: 16
10Lambdaparameter: 19
body: 13
11Literal
12Variable
13Operationoperator: 14
operand: 16
14Literal
15ExprTuple16
16IndexedVarvariable: 17
index: 19
17Variable
18ExprTuple19
19Variable