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, 4, 5, 6*	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
2	instantiation	57, 37, 7	⊢
	: , : , :
3	instantiation	57, 40, 8	⊢
	: , : , :
4	instantiation	57, 40, 9	⊢
	: , : , :
5	instantiation	10, 59	⊢
	:
6	instantiation	11, 12, 13	⊢
	: , : , :
7	instantiation	57, 40, 14	⊢
	: , : , :
8	instantiation	57, 47, 15	⊢
	: , : , :
9	instantiation	57, 45, 16	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
11	axiom		⊢
	proveit.logic.equality.equals_transitivity
12	instantiation	17, 28, 33, 52, 30, 29, 31, 32, 18	⊢
	: , : , : , : , : , :
13	instantiation	19, 33, 28, 29, 30, 31, 32, 26, 20*	⊢
	: , : , : , : , :
14	instantiation	57, 45, 21	⊢
	: , : , :
15	instantiation	22, 48, 23	⊢
	: , :
16	instantiation	24, 46	⊢
	:
17	theorem		⊢
	proveit.numbers.multiplication.disassociation
18	instantiation	25, 26	⊢
	:
19	theorem		⊢
	proveit.numbers.multiplication.mult_neg_any
20	instantiation	27, 33, 28, 29, 30, 31, 32	⊢
	: , : , : , :
21	instantiation	57, 51, 33	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
23	instantiation	57, 58, 44	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.negation.int_closure
25	theorem		⊢
	proveit.numbers.negation.complex_closure
26	instantiation	57, 37, 34	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
28	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
29	instantiation	35	⊢
	: , :
30	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
31	instantiation	57, 37, 36	⊢
	: , : , :
32	instantiation	57, 37, 38	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
34	instantiation	57, 40, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
36	instantiation	57, 40, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
38	instantiation	42, 43, 44	⊢
	: , : , :
39	instantiation	57, 45, 46	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
41	instantiation	57, 47, 48	⊢
	: , : , :
42	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
43	instantiation	49, 50	⊢
	: , :
44	assumption		⊢
45	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
46	instantiation	57, 51, 52	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
48	instantiation	53, 54, 55	⊢
	: , :
49	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
51	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
52	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
53	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
54	instantiation	57, 58, 56	⊢
	: , : , :
55	instantiation	57, 58, 59	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
57	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
58	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
59	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
*equality replacement requirements