Expression of type ExprTuple

from the theory of proveit.numbers.number_sets.natural_numbers

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, m, n
from proveit.logic import And, Equals, InSet
from proveit.numbers import Add, Natural, one

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([m, n], Conditional(Equals(n, m), And(InSet(m, Natural), InSet(n, Natural), Equals(Add(m, one), Add(n, one))))))

expr:

# 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

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\left(\left(m, n\right) \mapsto \left\{n = m \textrm{ if } m \in \mathbb{N} ,  n \in \mathbb{N} ,  \left(m + 1\right) = \left(n + 1\right)\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameters: 2 body: 3
2	ExprTuple	23, 24
3	Conditional	value: 4 condition: 5
4	Operation	operator: 15 operands: 6
5	Operation	operator: 7 operands: 8
6	ExprTuple	24, 23
7	Literal
8	ExprTuple	9, 10, 11
9	Operation	operator: 13 operands: 12
10	Operation	operator: 13 operands: 14
11	Operation	operator: 15 operands: 16
12	ExprTuple	23, 17
13	Literal
14	ExprTuple	24, 17
15	Literal
16	ExprTuple	18, 19
17	Literal
18	Operation	operator: 21 operands: 20
19	Operation	operator: 21 operands: 22
20	ExprTuple	23, 25
21	Literal
22	ExprTuple	24, 25
23	Variable
24	Variable
25	Literal