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	⊢
	: , :
1	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	3, 4, 5	⊢
	: , : , :
3	theorem		⊢
	proveit.core_expr_types.tuples.partition_back
4	instantiation	6, 7, 8	⊢
	:
5	instantiation	9, 10, 11	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
7	instantiation	12, 13, 14	⊢
	: , :
8	instantiation	15, 16	⊢
	: , :
9	axiom		⊢
	proveit.logic.equality.equals_transitivity
10	instantiation	17, 18, 19, 56, 20, 21, 24, 33, 22	⊢
	: , : , : , : , : , :
11	instantiation	23, 33, 24, 25	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
13	instantiation	54, 26, 40	⊢
	: , : , :
14	instantiation	43, 27, 28	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
16	instantiation	29, 30	⊢
	: , :
17	theorem		⊢
	proveit.numbers.addition.disassociation
18	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
20	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
21	instantiation	31	⊢
	: , :
22	instantiation	32, 33	⊢
	:
23	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
24	instantiation	54, 41, 34	⊢
	: , : , :
25	instantiation	35	⊢
	:
26	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
27	instantiation	50, 36	⊢
	: , :
28	instantiation	37, 38	⊢
	: , :
29	theorem		⊢
	proveit.numbers.ordering.relax_less
30	instantiation	39, 40	⊢
	:
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
32	theorem		⊢
	proveit.numbers.negation.complex_closure
33	instantiation	54, 41, 42	⊢
	: , : , :
34	instantiation	43, 44, 46	⊢
	: , : , :
35	axiom		⊢
	proveit.logic.equality.equals_reflexivity
36	theorem		⊢
	proveit.numbers.number_sets.integers.zero_set_within_int
37	theorem		⊢
	proveit.logic.sets.enumeration.fold_singleton
38	theorem		⊢
	proveit.numbers.negation.negated_zero
39	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
40	instantiation	45, 46, 47	⊢
	: , :
41	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
42	instantiation	54, 48, 49	⊢
	: , : , :
43	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
44	instantiation	50, 51	⊢
	: , :
45	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
46	assumption		⊢
47	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
49	instantiation	54, 52, 53	⊢
	: , : , :
50	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
52	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
53	instantiation	54, 55, 56	⊢
	: , : , :
54	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
55	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat1