Expression of type ExprTuple

from the theory of proveit.numbers.negation

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, a, b
from proveit.logic import And, Equals, InSet
from proveit.numbers import Natural, Neg

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([a, b], Conditional(Equals(a, b), And(InSet(a, Natural), InSet(b, Natural), [Equals(Neg(a), Neg(b))]))))

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(a, b\right) \mapsto \left\{a = b \textrm{ if } a \in \mathbb{N} ,  b \in \mathbb{N} ,  \left(\left(-a\right) = \left(-b\right)\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: 5 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 16 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	23, 24
6	Literal
7	ExprTuple	8, 9, 10
8	Operation	operator: 12 operands: 11
9	Operation	operator: 12 operands: 13
10	ExprTuple	14
11	ExprTuple	23, 15
12	Literal
13	ExprTuple	24, 15
14	Operation	operator: 16 operands: 17
15	Literal
16	Literal
17	ExprTuple	18, 19
18	Operation	operator: 21 operand: 23
19	Operation	operator: 21 operand: 24
20	ExprTuple	23
21	Literal
22	ExprTuple	24
23	Variable
24	Variable