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	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	10, 3, 4	, , ,  ⊢
	: , : , :
3	instantiation	5, 6, 7, 8	, , ,  ⊢
	: , : , : , :
4	instantiation	26, 13, 86, 15, 20, 22, 23, 28, 9, 29, 31	, , ,  ⊢
	: , : , : , : , : , : , :
5	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
6	instantiation	10, 11, 12	, , ,  ⊢
	: , : , :
7	instantiation	19, 13, 86, 14, 15, 16, 17, 53, 28, 60, 30, 29, 31, 18*	, , ,  ⊢
	: , : , : , : , : , :
8	instantiation	19, 86, 20, 21, 22, 23, 28, 60, 30, 29, 31, 24*	, , ,  ⊢
	: , : , : , : , : , :
9	instantiation	48, 60, 62, 50	⊢
	: , :
10	axiom		⊢
	proveit.logic.equality.equals_transitivity
11	instantiation	26, 93, 94, 25, 53, 28, 60, 29, 30, 31	, , ,  ⊢
	: , : , : , : , : , : , :
12	instantiation	26, 94, 93, 27, 53, 28, 60, 29, 30, 31	, , ,  ⊢
	: , : , : , : , : , : , :
13	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
15	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
16	instantiation	36	⊢
	: , :
17	instantiation	32	⊢
	: , : , : , : , :
18	instantiation	33, 53, 87, 34*, 35*	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.multiplication.association
20	instantiation	36	⊢
	: , :
21	instantiation	36	⊢
	: , :
22	instantiation	36	⊢
	: , :
23	instantiation	37, 53, 38	⊢
	: , :
24	instantiation	39, 60, 49, 40, 41, 42*, 43*, 44*	⊢
	: , : , : , :
25	instantiation	45	⊢
	: , : , : , :
26	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
27	instantiation	45	⊢
	: , : , : , :
28	instantiation	95, 73, 46	⊢
	: , : , :
29	instantiation	95, 73, 47	⊢
	: , : , :
30	instantiation	48, 49, 62, 50	⊢
	: , :
31	instantiation	95, 73, 51	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
33	theorem		⊢
	proveit.numbers.exponentiation.product_of_posnat_powers
34	instantiation	52, 53	⊢
	:
35	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
36	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
37	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
38	instantiation	95, 73, 54	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.division.prod_of_fracs
40	instantiation	95, 56, 55	⊢
	: , : , :
41	instantiation	95, 56, 57	⊢
	: , : , :
42	instantiation	58, 60	⊢
	:
43	instantiation	59, 60	⊢
	:
44	instantiation	61, 62	⊢
	:
45	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
46	instantiation	95, 76, 63	⊢
	: , : , :
47	instantiation	95, 76, 64	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.division.div_complex_closure
49	instantiation	95, 73, 65	⊢
	: , : , :
50	instantiation	66, 89	⊢
	:
51	assumption		⊢
52	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
53	instantiation	95, 73, 67	⊢
	: , : , :
54	instantiation	95, 83, 68	⊢
	: , : , :
55	instantiation	95, 70, 69	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
57	instantiation	95, 70, 71	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.division.frac_one_denom
59	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
60	instantiation	95, 73, 72	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
62	instantiation	95, 73, 74	⊢
	: , : , :
63	assumption		⊢
64	assumption		⊢
65	instantiation	95, 83, 75	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
67	instantiation	95, 76, 77	⊢
	: , : , :
68	instantiation	95, 91, 78	⊢
	: , : , :
69	instantiation	95, 80, 79	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
71	instantiation	95, 80, 81	⊢
	: , : , :
72	instantiation	95, 83, 82	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
74	instantiation	95, 83, 84	⊢
	: , : , :
75	instantiation	95, 91, 85	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
77	assumption		⊢
78	instantiation	95, 96, 86	⊢
	: , : , :
79	instantiation	95, 88, 87	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
81	instantiation	95, 88, 89	⊢
	: , : , :
82	instantiation	95, 91, 90	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
84	instantiation	95, 91, 92	⊢
	: , : , :
85	instantiation	95, 96, 93	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
87	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
88	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
89	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
90	instantiation	95, 96, 94	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
92	instantiation	95, 96, 97	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
94	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
95	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
96	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
97	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
*equality replacement requirements