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.association
2	reference	87	⊢
3	instantiation	73	⊢
	: , :
4	instantiation	73	⊢
	: , :
5	instantiation	73	⊢
	: , :
6	instantiation	13, 14, 15, 16	⊢
	: , :
7	instantiation	18, 17, 75	⊢
	: , :
8	reference	38	⊢
9	instantiation	18, 38, 19	⊢
	: , :
10	instantiation	90, 82, 20	⊢
	: , : , :
11	instantiation	90, 82, 21	⊢
	: , : , :
12	instantiation	22, 38, 83, 23, 24, 25*, 26*	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.division.div_complex_closure
14	instantiation	90, 82, 27	⊢
	: , : , :
15	instantiation	90, 82, 28	⊢
	: , : , :
16	instantiation	71, 29	⊢
	:
17	instantiation	90, 82, 30	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
19	instantiation	31, 32	⊢
	:
20	instantiation	90, 60, 33	⊢
	: , : , :
21	assumption		⊢
22	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
23	instantiation	34, 47	⊢
	:
24	instantiation	35, 36	⊢
	:
25	instantiation	37, 38	⊢
	:
26	instantiation	39, 89, 40, 84, 41*, 42*, 43*	⊢
	: , : , : , :
27	instantiation	90, 85, 44	⊢
	: , : , :
28	instantiation	90, 85, 45	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
30	instantiation	90, 60, 46	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.negation.complex_closure
32	instantiation	90, 82, 47	⊢
	: , : , :
33	assumption		⊢
34	theorem		⊢
	proveit.numbers.negation.real_closure
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
36	instantiation	90, 48, 61	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
38	instantiation	90, 82, 49	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.addition.rational_pair_addition
40	instantiation	50, 89	⊢
	:
41	instantiation	51, 80	⊢
	:
42	instantiation	52, 80, 75, 59	⊢
	: , :
43	instantiation	53, 54, 55	⊢
	: , : , :
44	instantiation	90, 88, 56	⊢
	: , : , :
45	instantiation	90, 88, 57	⊢
	: , : , :
46	assumption		⊢
47	instantiation	58, 83, 78, 59	⊢
	: , :
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real_nonzero
49	instantiation	90, 60, 61	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.negation.int_closure
51	theorem		⊢
	proveit.numbers.division.frac_one_denom
52	theorem		⊢
	proveit.numbers.division.neg_frac_neg_numerator
53	axiom		⊢
	proveit.logic.equality.equals_transitivity
54	instantiation	62, 87, 63, 64, 65, 66	⊢
	: , : , : , :
55	instantiation	67, 80, 75, 68	⊢
	: , : , :
56	instantiation	90, 91, 69	⊢
	: , : , :
57	instantiation	90, 91, 70	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.division.div_real_closure
59	instantiation	71, 72	⊢
	:
60	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
61	assumption		⊢
62	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
63	instantiation	73	⊢
	: , :
64	instantiation	73	⊢
	: , :
65	instantiation	74, 75	⊢
	:
66	instantiation	76, 80, 77*	⊢
	: , :
67	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
68	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
69	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
70	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
71	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
72	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
73	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
74	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
75	instantiation	90, 82, 78	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
77	instantiation	79, 80	⊢
	:
78	instantiation	90, 85, 81	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
80	instantiation	90, 82, 83	⊢
	: , : , :
81	instantiation	90, 88, 84	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
83	instantiation	90, 85, 86	⊢
	: , : , :
84	instantiation	90, 91, 87	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
86	instantiation	90, 88, 89	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
88	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
89	instantiation	90, 91, 92	⊢
	: , : , :
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.nat1
*equality replacement requirements