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