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	65	⊢
2	instantiation	4, 11, 5, 104, 13, 6, 18, 19, 50, 21, 22, 20	, , ,  ⊢
	: , : , : , : , : , :
3	instantiation	65, 7, 8	, , ,  ⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.multiplication.disassociation
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
6	instantiation	9	⊢
	: , : , : , : , :
7	instantiation	10, 82, 99, 11, 12, 17, 13, 18, 19, 50, 21, 22, 20	, , ,  ⊢
	: , : , : , : , : , : , :
8	instantiation	14, 99, 15, 16, 17, 18, 19, 50, 20, 21, 22, 23*	, , ,  ⊢
	: , : , : , : , : , :
9	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
10	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
11	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
12	instantiation	24	⊢
	: , : , :
13	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
14	theorem		⊢
	proveit.numbers.multiplication.association
15	instantiation	85	⊢
	: , :
16	instantiation	85	⊢
	: , :
17	instantiation	85	⊢
	: , :
18	instantiation	25, 26, 27, 28	⊢
	: , :
19	instantiation	30, 29, 87	⊢
	: , :
20	instantiation	30, 50, 31	⊢
	: , :
21	instantiation	102, 94, 32	⊢
	: , : , :
22	instantiation	102, 94, 33	⊢
	: , : , :
23	instantiation	34, 50, 95, 35, 36, 37*, 38*	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
25	theorem		⊢
	proveit.numbers.division.div_complex_closure
26	instantiation	102, 94, 39	⊢
	: , : , :
27	instantiation	102, 94, 40	⊢
	: , : , :
28	instantiation	83, 41	⊢
	:
29	instantiation	102, 94, 42	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
31	instantiation	43, 44	⊢
	:
32	instantiation	102, 72, 45	⊢
	: , : , :
33	assumption		⊢
34	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
35	instantiation	46, 59	⊢
	:
36	instantiation	47, 48	⊢
	:
37	instantiation	49, 50	⊢
	:
38	instantiation	51, 101, 52, 96, 53*, 54*, 55*	⊢
	: , : , : , :
39	instantiation	102, 97, 56	⊢
	: , : , :
40	instantiation	102, 97, 57	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
42	instantiation	102, 72, 58	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.negation.complex_closure
44	instantiation	102, 94, 59	⊢
	: , : , :
45	assumption		⊢
46	theorem		⊢
	proveit.numbers.negation.real_closure
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
48	instantiation	102, 60, 73	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
50	instantiation	102, 94, 61	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.addition.rational_pair_addition
52	instantiation	62, 101	⊢
	:
53	instantiation	63, 92	⊢
	:
54	instantiation	64, 92, 87, 71	⊢
	: , :
55	instantiation	65, 66, 67	⊢
	: , : , :
56	instantiation	102, 100, 68	⊢
	: , : , :
57	instantiation	102, 100, 69	⊢
	: , : , :
58	assumption		⊢
59	instantiation	70, 95, 90, 71	⊢
	: , :
60	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real_nonzero
61	instantiation	102, 72, 73	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.negation.int_closure
63	theorem		⊢
	proveit.numbers.division.frac_one_denom
64	theorem		⊢
	proveit.numbers.division.neg_frac_neg_numerator
65	axiom		⊢
	proveit.logic.equality.equals_transitivity
66	instantiation	74, 99, 75, 76, 77, 78	⊢
	: , : , : , :
67	instantiation	79, 92, 87, 80	⊢
	: , : , :
68	instantiation	102, 103, 81	⊢
	: , : , :
69	instantiation	102, 103, 82	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.division.div_real_closure
71	instantiation	83, 84	⊢
	:
72	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
73	assumption		⊢
74	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
75	instantiation	85	⊢
	: , :
76	instantiation	85	⊢
	: , :
77	instantiation	86, 87	⊢
	:
78	instantiation	88, 92, 89*	⊢
	: , :
79	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
80	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
81	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
82	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
83	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
84	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
85	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
86	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
87	instantiation	102, 94, 90	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
89	instantiation	91, 92	⊢
	:
90	instantiation	102, 97, 93	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
92	instantiation	102, 94, 95	⊢
	: , : , :
93	instantiation	102, 100, 96	⊢
	: , : , :
94	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
95	instantiation	102, 97, 98	⊢
	: , : , :
96	instantiation	102, 103, 99	⊢
	: , : , :
97	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
98	instantiation	102, 100, 101	⊢
	: , : , :
99	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
100	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
101	instantiation	102, 103, 104	⊢
	: , : , :
102	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
103	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
104	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements