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Expression of type ExprTuple

from the theory of proveit.logic.equality

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 Conditional, ExprTuple, Function, Lambda, alpha, beta, n, theta
from proveit.logic import InSet
from proveit.numbers import Natural
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple([alpha, beta], Lambda(n, Conditional(Function(theta, [n]), InSet(n, Natural))))
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(\alpha, \beta\right), n \mapsto \left\{\theta\left(n\right) \textrm{ if } n \in \mathbb{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
1ExprTuple3, 4
2Lambdaparameter: 12
body: 5
3Variable
4Variable
5Conditionalvalue: 6
condition: 7
6Operationoperator: 8
operand: 12
7Operationoperator: 10
operands: 11
8Variable
9ExprTuple12
10Literal
11ExprTuple12, 13
12Variable
13Literal