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	39	⊢
2	instantiation	4, 5	⊢
	: , : , :
3	instantiation	39, 6, 7	⊢
	: , : , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	8, 9, 10, 24, 11, 12, 13*, 14*	⊢
	: , : , :
6	instantiation	50, 91, 74, 62, 15, 64, 60, 16, 17	⊢
	: , : , : , : , : , :
7	instantiation	61, 62, 74, 64, 15, 16, 17	⊢
	: , : , : , :
8	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_product
9	instantiation	18, 29	⊢
	:
10	instantiation	28, 29, 44	⊢
	: , :
11	instantiation	20, 33, 19	⊢
	: , :
12	instantiation	20, 33, 21	⊢
	: , :
13	instantiation	23, 29, 71, 24, 25, 22*	⊢
	: , : , :
14	instantiation	23, 29, 56, 24, 25, 26*	⊢
	: , : , :
15	instantiation	70	⊢
	: , :
16	instantiation	28, 29, 27	⊢
	: , :
17	instantiation	28, 29, 30	⊢
	: , :
18	theorem		⊢
	proveit.numbers.exponentiation.sqrt_complex_closure
19	instantiation	31, 32, 33	⊢
	: , :
20	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
21	instantiation	96, 34, 75	⊢
	: , : , :
22	instantiation	35, 65, 60, 36*	⊢
	: , :
23	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
24	instantiation	96, 77, 37	⊢
	: , : , :
25	instantiation	38, 98	⊢
	:
26	instantiation	39, 40, 41	⊢
	: , : , :
27	instantiation	96, 72, 42	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
29	instantiation	96, 72, 43	⊢
	: , : , :
30	instantiation	59, 44	⊢
	:
31	theorem		⊢
	proveit.numbers.division.div_rational_nonzero_closure
32	instantiation	96, 46, 45	⊢
	: , : , :
33	instantiation	96, 46, 47	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational_nonzero
35	theorem		⊢
	proveit.numbers.negation.pos_times_neg
36	instantiation	48, 65	⊢
	:
37	instantiation	96, 83, 49	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
39	axiom		⊢
	proveit.logic.equality.equals_transitivity
40	instantiation	50, 62, 74, 91, 64, 63, 65, 66, 51	⊢
	: , : , : , : , : , :
41	instantiation	52, 74, 62, 63, 64, 65, 66, 60, 53*	⊢
	: , : , : , : , :
42	instantiation	54, 71	⊢
	:
43	instantiation	96, 77, 55	⊢
	: , : , :
44	instantiation	96, 72, 56	⊢
	: , : , :
45	instantiation	96, 57, 95	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
47	instantiation	96, 57, 98	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
49	instantiation	58, 84	⊢
	:
50	theorem		⊢
	proveit.numbers.multiplication.disassociation
51	instantiation	59, 60	⊢
	:
52	theorem		⊢
	proveit.numbers.multiplication.mult_neg_any
53	instantiation	61, 74, 62, 63, 64, 65, 66	⊢
	: , : , : , :
54	theorem		⊢
	proveit.numbers.negation.real_closure
55	instantiation	96, 83, 67	⊢
	: , : , :
56	instantiation	96, 77, 68	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
58	theorem		⊢
	proveit.numbers.negation.int_closure
59	theorem		⊢
	proveit.numbers.negation.complex_closure
60	instantiation	96, 72, 69	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
62	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
63	instantiation	70	⊢
	: , :
64	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
65	instantiation	96, 72, 71	⊢
	: , : , :
66	instantiation	96, 72, 73	⊢
	: , : , :
67	instantiation	96, 90, 74	⊢
	: , : , :
68	instantiation	96, 85, 75	⊢
	: , : , :
69	instantiation	96, 77, 76	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
71	instantiation	96, 77, 78	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
73	instantiation	79, 80, 89	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
75	instantiation	81, 86, 82	⊢
	: , :
76	instantiation	96, 83, 84	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
78	instantiation	96, 85, 86	⊢
	: , : , :
79	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
80	instantiation	87, 88	⊢
	: , :
81	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
82	instantiation	96, 97, 89	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
84	instantiation	96, 90, 91	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
86	instantiation	92, 93, 94	⊢
	: , :
87	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
88	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
89	assumption		⊢
90	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
91	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
92	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
93	instantiation	96, 97, 95	⊢
	: , : , :
94	instantiation	96, 97, 98	⊢
	: , : , :
95	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
96	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
97	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
98	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
*equality replacement requirements