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.division.div_as_mult
2	reference	12	⊢
3	reference	25	⊢
4	reference	21	⊢
5	instantiation	6, 7, 8	⊢
	: , : , :
6	axiom		⊢
	proveit.logic.equality.equals_transitivity
7	instantiation	9, 10	⊢
	: , : , :
8	instantiation	11, 12, 13	⊢
	: , :
9	axiom		⊢
	proveit.logic.equality.substitution
10	instantiation	14, 15, 16, 17*	⊢
	: , :
11	theorem		⊢
	proveit.numbers.multiplication.commutation
12	instantiation	45, 32, 18	⊢
	: , : , :
13	instantiation	19, 20, 25, 21	⊢
	: , :
14	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
15	instantiation	45, 22, 23	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
17	instantiation	24, 25	⊢
	:
18	instantiation	45, 26, 27	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.division.div_complex_closure
20	instantiation	45, 32, 28	⊢
	: , : , :
21	instantiation	29, 41	⊢
	:
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
23	instantiation	45, 30, 31	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
25	instantiation	45, 32, 33	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
27	assumption		⊢
28	instantiation	45, 37, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
31	instantiation	45, 35, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
33	instantiation	45, 37, 38	⊢
	: , : , :
34	instantiation	45, 42, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
36	instantiation	45, 40, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
38	instantiation	45, 42, 43	⊢
	: , : , :
39	instantiation	45, 46, 44	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
41	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
42	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
43	instantiation	45, 46, 47	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
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