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	, , ,  ⊢
	: , : , :
1	reference	59	⊢
2	instantiation	4, 76, 93, 5, 6, 11, 7, 12, 13, 44, 15, 16, 14	, , ,  ⊢
	: , : , : , : , : , : , :
3	instantiation	8, 93, 9, 10, 11, 12, 13, 44, 14, 15, 16, 17*	, , ,  ⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	instantiation	18	⊢
	: , : , :
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	theorem		⊢
	proveit.numbers.multiplication.association
9	instantiation	79	⊢
	: , :
10	instantiation	79	⊢
	: , :
11	instantiation	79	⊢
	: , :
12	instantiation	19, 20, 21, 22	⊢
	: , :
13	instantiation	24, 23, 81	⊢
	: , :
14	instantiation	24, 44, 25	⊢
	: , :
15	instantiation	96, 88, 26	⊢
	: , : , :
16	instantiation	96, 88, 27	⊢
	: , : , :
17	instantiation	28, 44, 89, 29, 30, 31*, 32*	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
19	theorem		⊢
	proveit.numbers.division.div_complex_closure
20	instantiation	96, 88, 33	⊢
	: , : , :
21	instantiation	96, 88, 34	⊢
	: , : , :
22	instantiation	77, 35	⊢
	:
23	instantiation	96, 88, 36	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
25	instantiation	37, 38	⊢
	:
26	instantiation	96, 66, 39	⊢
	: , : , :
27	assumption		⊢
28	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
29	instantiation	40, 53	⊢
	:
30	instantiation	41, 42	⊢
	:
31	instantiation	43, 44	⊢
	:
32	instantiation	45, 95, 46, 90, 47*, 48*, 49*	⊢
	: , : , : , :
33	instantiation	96, 91, 50	⊢
	: , : , :
34	instantiation	96, 91, 51	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
36	instantiation	96, 66, 52	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.negation.complex_closure
38	instantiation	96, 88, 53	⊢
	: , : , :
39	assumption		⊢
40	theorem		⊢
	proveit.numbers.negation.real_closure
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
42	instantiation	96, 54, 67	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
44	instantiation	96, 88, 55	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.addition.rational_pair_addition
46	instantiation	56, 95	⊢
	:
47	instantiation	57, 86	⊢
	:
48	instantiation	58, 86, 81, 65	⊢
	: , :
49	instantiation	59, 60, 61	⊢
	: , : , :
50	instantiation	96, 94, 62	⊢
	: , : , :
51	instantiation	96, 94, 63	⊢
	: , : , :
52	assumption		⊢
53	instantiation	64, 89, 84, 65	⊢
	: , :
54	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real_nonzero
55	instantiation	96, 66, 67	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.negation.int_closure
57	theorem		⊢
	proveit.numbers.division.frac_one_denom
58	theorem		⊢
	proveit.numbers.division.neg_frac_neg_numerator
59	axiom		⊢
	proveit.logic.equality.equals_transitivity
60	instantiation	68, 93, 69, 70, 71, 72	⊢
	: , : , : , :
61	instantiation	73, 86, 81, 74	⊢
	: , : , :
62	instantiation	96, 97, 75	⊢
	: , : , :
63	instantiation	96, 97, 76	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.division.div_real_closure
65	instantiation	77, 78	⊢
	:
66	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
67	assumption		⊢
68	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
69	instantiation	79	⊢
	: , :
70	instantiation	79	⊢
	: , :
71	instantiation	80, 81	⊢
	:
72	instantiation	82, 86, 83*	⊢
	: , :
73	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
74	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
75	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
76	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
77	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
78	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
79	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
80	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
81	instantiation	96, 88, 84	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
83	instantiation	85, 86	⊢
	:
84	instantiation	96, 91, 87	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
86	instantiation	96, 88, 89	⊢
	: , : , :
87	instantiation	96, 94, 90	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
89	instantiation	96, 91, 92	⊢
	: , : , :
90	instantiation	96, 97, 93	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
92	instantiation	96, 94, 95	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
94	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
95	instantiation	96, 97, 98	⊢
	: , : , :
96	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
97	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
98	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements