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	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	11, 3	⊢
	: , : , :
3	instantiation	4, 14, 24, 5, 6*	⊢
	: , :
4	theorem		⊢
	proveit.numbers.division.div_as_mult
5	instantiation	7, 44	⊢
	:
6	instantiation	8, 9, 10	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
8	axiom		⊢
	proveit.logic.equality.equals_transitivity
9	instantiation	11, 12	⊢
	: , : , :
10	instantiation	13, 14, 15	⊢
	: , :
11	axiom		⊢
	proveit.logic.equality.substitution
12	instantiation	16, 17, 42, 18*	⊢
	: , :
13	theorem		⊢
	proveit.numbers.multiplication.commutation
14	instantiation	45, 28, 19	⊢
	: , : , :
15	instantiation	45, 28, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
17	instantiation	45, 21, 22	⊢
	: , : , :
18	instantiation	23, 24	⊢
	:
19	assumption		⊢
20	instantiation	45, 34, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
22	instantiation	45, 26, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
24	instantiation	45, 28, 29	⊢
	: , : , :
25	instantiation	45, 30, 31	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
27	instantiation	45, 32, 33	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
29	instantiation	45, 34, 35	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
31	instantiation	36, 37, 38	⊢
	: , :
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
33	instantiation	45, 39, 44	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
35	instantiation	45, 40, 41	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
37	instantiation	45, 43, 42	⊢
	: , : , :
38	instantiation	45, 43, 44	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
41	instantiation	45, 46, 47	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
44	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
45	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements