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	⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	5, 6, 7	⊢
	: , : , :
3	instantiation	13, 8, 62, 71, 9, 10, 11, 38, 21, 22, 43, 23, 24, 12*	⊢
	: , : , : , : , : , :
4	instantiation	13, 72, 62, 14, 15, 16, 22, 43, 23, 24, 17*	⊢
	: , : , : , : , : , :
5	axiom		⊢
	proveit.logic.equality.equals_transitivity
6	instantiation	19, 72, 75, 18, 38, 22, 21, 23, 43, 24	⊢
	: , : , : , : , : , : , :
7	instantiation	19, 75, 72, 20, 38, 21, 22, 23, 43, 24	⊢
	: , : , : , : , : , : , :
8	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
9	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
10	instantiation	27	⊢
	: , :
11	instantiation	25	⊢
	: , : , : , :
12	instantiation	29, 38, 30, 59, 26*	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.multiplication.association
14	instantiation	27	⊢
	: , :
15	instantiation	27	⊢
	: , :
16	instantiation	33, 38, 28	⊢
	: , :
17	instantiation	29, 43, 59, 30, 31*	⊢
	: , : , :
18	instantiation	32	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
20	instantiation	32	⊢
	: , : , :
21	instantiation	33, 38, 41	⊢
	: , :
22	instantiation	33, 43, 41	⊢
	: , :
23	instantiation	73, 51, 34	⊢
	: , : , :
24	instantiation	35, 40, 36, 37	⊢
	: , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
26	instantiation	42, 38	⊢
	:
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
28	instantiation	39, 40, 41	⊢
	: , :
29	theorem		⊢
	proveit.numbers.exponentiation.product_of_posnat_powers
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
31	instantiation	42, 43	⊢
	:
32	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
33	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
34	instantiation	73, 60, 44	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.division.div_complex_closure
36	instantiation	73, 51, 45	⊢
	: , : , :
37	instantiation	46, 47	⊢
	:
38	instantiation	73, 51, 48	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
40	instantiation	73, 51, 49	⊢
	: , : , :
41	instantiation	73, 51, 50	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
43	instantiation	73, 51, 52	⊢
	: , : , :
44	instantiation	73, 68, 53	⊢
	: , : , :
45	instantiation	73, 60, 54	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
47	theorem		⊢
	proveit.numbers.numerals.decimals.posnat5
48	instantiation	73, 60, 55	⊢
	: , : , :
49	instantiation	73, 60, 56	⊢
	: , : , :
50	instantiation	57, 58, 59	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
52	instantiation	73, 60, 61	⊢
	: , : , :
53	instantiation	73, 74, 62	⊢
	: , : , :
54	instantiation	73, 68, 63	⊢
	: , : , :
55	instantiation	73, 68, 64	⊢
	: , : , :
56	instantiation	73, 68, 65	⊢
	: , : , :
57	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
58	instantiation	66, 67	⊢
	: , :
59	assumption		⊢
60	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
61	instantiation	73, 68, 69	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
63	instantiation	73, 74, 70	⊢
	: , : , :
64	instantiation	73, 74, 71	⊢
	: , : , :
65	instantiation	73, 74, 72	⊢
	: , : , :
66	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
67	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
68	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
69	instantiation	73, 74, 75	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
71	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
72	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
73	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
74	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
75	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
*equality replacement requirements