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, 25, 4, 5, 6, 7, 8*	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_product
4	instantiation	41, 30, 9	⊢
	: , : , :
5	instantiation	41, 35, 10	⊢
	: , : , :
6	instantiation	11, 38	⊢
	:
7	instantiation	12, 13	⊢
	:
8	instantiation	14, 15, 16, 17*	⊢
	: , :
9	instantiation	41, 18, 21	⊢
	: , : , :
10	instantiation	41, 39, 19	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
13	instantiation	41, 20, 21	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
15	instantiation	41, 22, 23	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
17	instantiation	24, 25	⊢
	:
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
19	instantiation	26, 27	⊢
	:
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
23	instantiation	41, 28, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
25	instantiation	41, 30, 31	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.negation.int_closure
27	instantiation	41, 42, 32	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
29	instantiation	41, 33, 34	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	instantiation	41, 35, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
34	instantiation	41, 37, 38	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	41, 39, 40	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
39	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
40	instantiation	41, 42, 43	⊢
	: , : , :
41	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements