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	42, 3	⊢
	: , : , :
3	instantiation	42, 4	⊢
	: , : , :
4	instantiation	32, 5, 6	⊢
	: , : , :
5	instantiation	32, 7, 8	⊢
	: , : , :
6	instantiation	32, 9, 10	⊢
	: , : , :
7	instantiation	42, 11	⊢
	: , : , :
8	instantiation	42, 12	⊢
	: , : , :
9	instantiation	13, 38, 94, 82, 40, 14, 21, 51, 15	⊢
	: , : , : , : , : , :
10	instantiation	16, 21, 51, 17	⊢
	: , : , :
11	instantiation	25, 36, 63, 26, 18*	⊢
	: , :
12	instantiation	42, 19	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.addition.disassociation
14	instantiation	49	⊢
	: , :
15	instantiation	20, 21	⊢
	:
16	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
17	instantiation	22	⊢
	:
18	instantiation	32, 23, 24	⊢
	: , : , :
19	instantiation	25, 47, 63, 26, 27*	⊢
	: , :
20	theorem		⊢
	proveit.numbers.negation.complex_closure
21	instantiation	92, 71, 28	⊢
	: , : , :
22	axiom		⊢
	proveit.logic.equality.equals_reflexivity
23	instantiation	42, 43	⊢
	: , : , :
24	instantiation	32, 29, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.division.div_as_mult
26	instantiation	31, 91	⊢
	:
27	instantiation	32, 33, 34	⊢
	: , : , :
28	instantiation	92, 80, 35	⊢
	: , : , :
29	instantiation	44, 36, 51	⊢
	: , :
30	instantiation	37, 82, 94, 38, 39, 40, 51, 47, 48, 41*	⊢
	: , : , : , : , : , :
31	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
32	axiom		⊢
	proveit.logic.equality.equals_transitivity
33	instantiation	42, 43	⊢
	: , : , :
34	instantiation	44, 47, 51	⊢
	: , :
35	instantiation	92, 76, 45	⊢
	: , : , :
36	instantiation	46, 47, 48	⊢
	: , :
37	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
38	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
39	instantiation	49	⊢
	: , :
40	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
41	instantiation	50, 51	⊢
	:
42	axiom		⊢
	proveit.logic.equality.substitution
43	instantiation	52, 53, 89, 54*	⊢
	: , :
44	theorem		⊢
	proveit.numbers.multiplication.commutation
45	instantiation	55, 77, 56	⊢
	: , :
46	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
47	instantiation	92, 71, 57	⊢
	: , : , :
48	instantiation	92, 71, 58	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
50	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
51	instantiation	92, 71, 59	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
53	instantiation	92, 60, 61	⊢
	: , : , :
54	instantiation	62, 63	⊢
	:
55	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
56	instantiation	92, 90, 66	⊢
	: , : , :
57	instantiation	64, 65, 66	⊢
	: , : , :
58	instantiation	92, 80, 67	⊢
	: , : , :
59	instantiation	92, 80, 68	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
61	instantiation	92, 69, 70	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
63	instantiation	92, 71, 72	⊢
	: , : , :
64	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
65	instantiation	73, 74	⊢
	: , :
66	assumption		⊢
67	instantiation	92, 87, 75	⊢
	: , : , :
68	instantiation	92, 76, 77	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
70	instantiation	92, 78, 79	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
72	instantiation	92, 80, 81	⊢
	: , : , :
73	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
74	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
75	instantiation	92, 93, 82	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
77	instantiation	83, 84, 85	⊢
	: , :
78	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
79	instantiation	92, 86, 91	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
81	instantiation	92, 87, 88	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
83	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
84	instantiation	92, 90, 89	⊢
	: , : , :
85	instantiation	92, 90, 91	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
87	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
88	instantiation	92, 93, 94	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
90	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
91	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
92	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
93	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
94	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements