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