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