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*	,  ⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.exponentiation.posnat_power_of_product
2	instantiation	38, 7, 6	⊢
	: , : , :
3	instantiation	38, 7, 8	⊢
	: , : , :
4	reference	40	⊢
5	instantiation	9, 27, 10*	⊢
	:
6	instantiation	38, 11, 12	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
8	instantiation	13, 14, 15	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.exponentiation.square_abs_rational_simp
10	instantiation	16, 40, 17	⊢
	: , :
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
12	instantiation	38, 18, 19	⊢
	: , : , :
13	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
14	instantiation	20, 21	⊢
	: , :
15	assumption		⊢
16	theorem		⊢
	proveit.numbers.exponentiation.nth_power_of_nth_root
17	instantiation	22, 23	⊢
	:
18	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
19	instantiation	24, 25	⊢
	:
20	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
22	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
24	theorem		⊢
	proveit.numbers.absolute_value.abs_rational_nonzero_closure
25	instantiation	26, 27, 28	⊢
	:
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_rational_is_rational_nonzero
27	assumption		⊢
28	instantiation	29, 33, 30	⊢
	: , :
29	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
30	instantiation	31, 32, 33	⊢
	: , :
31	theorem		⊢
	proveit.numbers.division.div_rational_nonzero_closure
32	instantiation	38, 35, 34	⊢
	: , : , :
33	instantiation	38, 35, 36	⊢
	: , : , :
34	instantiation	38, 39, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
36	instantiation	38, 39, 40	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
38	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
40	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
*equality replacement requirements