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Expression of type ExprTuple

from the theory of proveit.numbers.number_sets.natural_numbers

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, Lambda, S, x
from proveit.logic import InSet
from proveit.numbers import Add, one
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Lambda(x, Conditional(InSet(Add(x, one), S), InSet(x, S))))
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 \mapsto \left\{\left(x + 1\right) \in S \textrm{ if } x \in S\right..\right)
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1
1Lambdaparameter: 13
body: 3
2ExprTuple13
3Conditionalvalue: 4
condition: 5
4Operationoperator: 7
operands: 6
5Operationoperator: 7
operands: 8
6ExprTuple9, 10
7Literal
8ExprTuple13, 10
9Operationoperator: 11
operands: 12
10Variable
11Literal
12ExprTuple13, 14
13Variable
14Literal