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	73	⊢
2	instantiation	4, 5	⊢
	: , : , :
3	instantiation	73, 6, 7	, , ,  ⊢
	: , : , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	8, 58, 67, 9, 44, 10*	⊢
	: , : , :
6	instantiation	11, 19, 12, 112, 21, 13, 26, 27, 58, 29, 30, 28	, , ,  ⊢
	: , : , : , : , : , :
7	instantiation	73, 14, 15	, , ,  ⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
9	instantiation	54, 103	⊢
	:
10	instantiation	96, 52, 100, 16*	⊢
	: , :
11	theorem		⊢
	proveit.numbers.multiplication.disassociation
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
13	instantiation	17	⊢
	: , : , : , : , :
14	instantiation	18, 90, 107, 19, 20, 25, 21, 26, 27, 58, 29, 30, 28	, , ,  ⊢
	: , : , : , : , : , : , :
15	instantiation	22, 107, 23, 24, 25, 26, 27, 58, 28, 29, 30, 31*	, , ,  ⊢
	: , : , : , : , : , :
16	instantiation	99, 52	⊢
	:
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
18	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
19	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
20	instantiation	32	⊢
	: , : , :
21	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
22	theorem		⊢
	proveit.numbers.multiplication.association
23	instantiation	93	⊢
	: , :
24	instantiation	93	⊢
	: , :
25	instantiation	93	⊢
	: , :
26	instantiation	33, 34, 35, 36	⊢
	: , :
27	instantiation	38, 37, 95	⊢
	: , :
28	instantiation	38, 58, 39	⊢
	: , :
29	instantiation	110, 102, 40	⊢
	: , : , :
30	instantiation	110, 102, 41	⊢
	: , : , :
31	instantiation	42, 58, 103, 43, 44, 45*, 46*	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
33	theorem		⊢
	proveit.numbers.division.div_complex_closure
34	instantiation	110, 102, 47	⊢
	: , : , :
35	instantiation	110, 102, 48	⊢
	: , : , :
36	instantiation	91, 49	⊢
	:
37	instantiation	110, 102, 50	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
39	instantiation	51, 52	⊢
	:
40	instantiation	110, 80, 53	⊢
	: , : , :
41	assumption		⊢
42	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
43	instantiation	54, 67	⊢
	:
44	instantiation	55, 56	⊢
	:
45	instantiation	57, 58	⊢
	:
46	instantiation	59, 109, 60, 104, 61*, 62*, 63*	⊢
	: , : , : , :
47	instantiation	110, 105, 64	⊢
	: , : , :
48	instantiation	110, 105, 65	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
50	instantiation	110, 80, 66	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.negation.complex_closure
52	instantiation	110, 102, 67	⊢
	: , : , :
53	assumption		⊢
54	theorem		⊢
	proveit.numbers.negation.real_closure
55	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
56	instantiation	110, 68, 81	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
58	instantiation	110, 102, 69	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.addition.rational_pair_addition
60	instantiation	70, 109	⊢
	:
61	instantiation	71, 100	⊢
	:
62	instantiation	72, 100, 95, 79	⊢
	: , :
63	instantiation	73, 74, 75	⊢
	: , : , :
64	instantiation	110, 108, 76	⊢
	: , : , :
65	instantiation	110, 108, 77	⊢
	: , : , :
66	assumption		⊢
67	instantiation	78, 103, 98, 79	⊢
	: , :
68	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real_nonzero
69	instantiation	110, 80, 81	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.negation.int_closure
71	theorem		⊢
	proveit.numbers.division.frac_one_denom
72	theorem		⊢
	proveit.numbers.division.neg_frac_neg_numerator
73	axiom		⊢
	proveit.logic.equality.equals_transitivity
74	instantiation	82, 107, 83, 84, 85, 86	⊢
	: , : , : , :
75	instantiation	87, 100, 95, 88	⊢
	: , : , :
76	instantiation	110, 111, 89	⊢
	: , : , :
77	instantiation	110, 111, 90	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.division.div_real_closure
79	instantiation	91, 92	⊢
	:
80	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
81	assumption		⊢
82	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
83	instantiation	93	⊢
	: , :
84	instantiation	93	⊢
	: , :
85	instantiation	94, 95	⊢
	:
86	instantiation	96, 100, 97*	⊢
	: , :
87	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
88	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
89	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
90	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
91	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
92	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
93	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
94	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
95	instantiation	110, 102, 98	⊢
	: , : , :
96	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
97	instantiation	99, 100	⊢
	:
98	instantiation	110, 105, 101	⊢
	: , : , :
99	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
100	instantiation	110, 102, 103	⊢
	: , : , :
101	instantiation	110, 108, 104	⊢
	: , : , :
102	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
103	instantiation	110, 105, 106	⊢
	: , : , :
104	instantiation	110, 111, 107	⊢
	: , : , :
105	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
106	instantiation	110, 108, 109	⊢
	: , : , :
107	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
108	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
109	instantiation	110, 111, 112	⊢
	: , : , :
110	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
111	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
112	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements