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, 6, 7, 8, 9*	,  ⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_product
4	instantiation	57, 37, 10	⊢
	: , : , :
5	assumption		⊢
6	instantiation	11, 12	⊢
	:
7	instantiation	13, 14	⊢
	:
8	assumption		⊢
9	instantiation	15, 16, 17, 18, 19*, 20*	⊢
	: , : , :
10	instantiation	57, 47, 21	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.negation.real_closure
12	instantiation	57, 47, 22	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_if_in_rational_nonzero
14	instantiation	57, 23, 31	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.exponentiation.neg_power_of_quotient
16	instantiation	57, 25, 24	⊢
	: , : , :
17	instantiation	57, 25, 26	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
19	instantiation	28, 27	⊢
	:
20	instantiation	28, 29	⊢
	:
21	instantiation	57, 30, 31	⊢
	: , : , :
22	instantiation	57, 54, 32	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational_nonzero
24	instantiation	57, 34, 33	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
26	instantiation	57, 34, 35	⊢
	: , : , :
27	instantiation	57, 37, 36	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
29	instantiation	57, 37, 38	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
31	instantiation	39, 40, 41	⊢
	: , :
32	instantiation	57, 58, 42	⊢
	: , : , :
33	instantiation	57, 44, 43	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
35	instantiation	57, 44, 45	⊢
	: , : , :
36	instantiation	57, 47, 46	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
38	instantiation	57, 47, 48	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
40	instantiation	57, 49, 50	⊢
	: , : , :
41	instantiation	57, 49, 52	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
43	instantiation	57, 51, 50	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
45	instantiation	57, 51, 52	⊢
	: , : , :
46	instantiation	57, 54, 53	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
48	instantiation	57, 54, 55	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
50	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
51	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
52	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
53	instantiation	57, 58, 56	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
55	instantiation	57, 58, 59	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
57	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
58	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
59	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements