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*	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
4	instantiation	59, 39, 9	⊢
	: , : , :
5	instantiation	59, 42, 10	⊢
	: , : , :
6	instantiation	59, 42, 11	⊢
	: , : , :
7	instantiation	12, 61	⊢
	:
8	instantiation	13, 14, 15	⊢
	: , : , :
9	instantiation	59, 42, 16	⊢
	: , : , :
10	instantiation	59, 49, 17	⊢
	: , : , :
11	instantiation	59, 47, 18	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
13	axiom		⊢
	proveit.logic.equality.equals_transitivity
14	instantiation	19, 30, 35, 54, 32, 31, 33, 34, 20	⊢
	: , : , : , : , : , :
15	instantiation	21, 35, 30, 31, 32, 33, 34, 28, 22*	⊢
	: , : , : , : , :
16	instantiation	59, 47, 23	⊢
	: , : , :
17	instantiation	24, 50, 25	⊢
	: , :
18	instantiation	26, 48	⊢
	:
19	theorem		⊢
	proveit.numbers.multiplication.disassociation
20	instantiation	27, 28	⊢
	:
21	theorem		⊢
	proveit.numbers.multiplication.mult_neg_any
22	instantiation	29, 35, 30, 31, 32, 33, 34	⊢
	: , : , : , :
23	instantiation	59, 53, 35	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
25	instantiation	59, 60, 46	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.negation.int_closure
27	theorem		⊢
	proveit.numbers.negation.complex_closure
28	instantiation	59, 39, 36	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
30	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
31	instantiation	37	⊢
	: , :
32	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
33	instantiation	59, 39, 38	⊢
	: , : , :
34	instantiation	59, 39, 40	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
36	instantiation	59, 42, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
38	instantiation	59, 42, 43	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
40	instantiation	44, 45, 46	⊢
	: , : , :
41	instantiation	59, 47, 48	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
43	instantiation	59, 49, 50	⊢
	: , : , :
44	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
45	instantiation	51, 52	⊢
	: , :
46	assumption		⊢
47	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
48	instantiation	59, 53, 54	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
50	instantiation	55, 56, 57	⊢
	: , :
51	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
53	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
55	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
56	instantiation	59, 60, 58	⊢
	: , : , :
57	instantiation	59, 60, 61	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
59	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
60	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
61	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
*equality replacement requirements