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, 10, 11, 12	, , ,  ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.disassociation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
4	reference	56	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	13	⊢
	: , : , : , : , :
7	instantiation	14, 15, 16, 17	⊢
	: , :
8	instantiation	22, 18, 19	⊢
	: , :
9	reference	23	⊢
10	instantiation	57, 38, 20	⊢
	: , : , :
11	instantiation	57, 38, 21	⊢
	: , : , :
12	instantiation	22, 23, 24	⊢
	: , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
14	theorem		⊢
	proveit.numbers.division.div_complex_closure
15	instantiation	57, 38, 25	⊢
	: , : , :
16	instantiation	57, 38, 26	⊢
	: , : , :
17	instantiation	51, 27	⊢
	:
18	instantiation	57, 38, 28	⊢
	: , : , :
19	instantiation	57, 38, 44	⊢
	: , : , :
20	instantiation	57, 36, 29	⊢
	: , : , :
21	assumption		⊢
22	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
23	instantiation	57, 38, 30	⊢
	: , : , :
24	instantiation	31, 32	⊢
	:
25	instantiation	57, 49, 33	⊢
	: , : , :
26	instantiation	57, 49, 34	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
28	instantiation	57, 36, 35	⊢
	: , : , :
29	assumption		⊢
30	instantiation	57, 36, 37	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.negation.complex_closure
32	instantiation	57, 38, 39	⊢
	: , : , :
33	instantiation	57, 54, 40	⊢
	: , : , :
34	instantiation	57, 54, 41	⊢
	: , : , :
35	assumption		⊢
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
37	assumption		⊢
38	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
39	instantiation	42, 43, 44, 45	⊢
	: , :
40	instantiation	57, 58, 46	⊢
	: , : , :
41	instantiation	57, 58, 47	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.division.div_real_closure
43	instantiation	57, 49, 48	⊢
	: , : , :
44	instantiation	57, 49, 50	⊢
	: , : , :
45	instantiation	51, 52	⊢
	:
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
48	instantiation	57, 54, 53	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
50	instantiation	57, 54, 55	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
52	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
53	instantiation	57, 58, 56	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
55	instantiation	57, 58, 59	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
57	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
58	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
59	theorem		⊢
	proveit.numbers.numerals.decimals.nat2