Show the Proof

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

	step type	requirements	statement
0	instantiation	1, 2, 3, 4, 5, 6, 7, 8, 9	,  ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.disassociation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	39	⊢
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	10	⊢
	: , :
7	instantiation	40, 12, 11	,  ⊢
	: , : , :
8	instantiation	40, 12, 22	⊢
	: , : , :
9	instantiation	40, 12, 13	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	40, 27, 14	,  ⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
13	instantiation	15, 16, 17	⊢
	: , :
14	instantiation	40, 32, 18	,  ⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
16	instantiation	19, 20, 42	⊢
	: , : , :
17	instantiation	21, 22	⊢
	:
18	instantiation	40, 23, 24	,  ⊢
	: , : , :
19	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
20	instantiation	25, 26	⊢
	: , :
21	theorem		⊢
	proveit.numbers.negation.real_closure
22	instantiation	40, 27, 28	⊢
	: , : , :
23	instantiation	29, 30, 31	⊢
	: , :
24	assumption		⊢
25	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	40, 32, 35	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
30	instantiation	33, 34, 35	⊢
	: , :
31	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
34	instantiation	36, 37	⊢
	:
35	instantiation	40, 38, 39	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.negation.int_closure
37	instantiation	40, 41, 42	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
40	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
42	assumption		⊢