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Expression of type ExprTuple

from the theory of proveit.numbers.number_sets.rational_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, q
from proveit.logic import And, InSet
from proveit.numbers import Rational, greater_eq, zero
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Lambda(q, Conditional(q, And(InSet(q, Rational), greater_eq(q, zero)))))
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(q \mapsto \left\{q \textrm{ if } q \in \mathbb{Q} ,  q \geq 0\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: 15
body: 3
2ExprTuple15
3Conditionalvalue: 15
condition: 4
4Operationoperator: 5
operands: 6
5Literal
6ExprTuple7, 8
7Operationoperator: 9
operands: 10
8Operationoperator: 11
operands: 12
9Literal
10ExprTuple15, 13
11Literal
12ExprTuple14, 15
13Literal
14Literal
15Variable