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	, , ,  ⊢
	: , : , :
1	reference	16	⊢
2	instantiation	32, 4	,  ⊢
	: , : , :
3	instantiation	8, 5, 6	, , ,  ⊢
	: , : , :
4	instantiation	7, 40, 38	,  ⊢
	: , :
5	instantiation	8, 9, 10	, , ,  ⊢
	: , : , :
6	instantiation	16, 11, 12	,  ⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.multiplication.commutation
8	theorem		⊢
	proveit.logic.equality.sub_right_side_into
9	instantiation	13, 38, 27, 14, 15	, , ,  ⊢
	: , : , : , : , :
10	instantiation	16, 17, 18	,  ⊢
	: , : , :
11	instantiation	32, 19	⊢
	: , : , :
12	instantiation	32, 20	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_numer_left
14	instantiation	21, 40, 22	,  ⊢
	:
15	instantiation	44, 23, 24	⊢
	: , : , :
16	axiom		⊢
	proveit.logic.equality.equals_transitivity
17	instantiation	32, 25	,  ⊢
	: , : , :
18	instantiation	32, 26	⊢
	: , : , :
19	instantiation	30, 38	⊢
	:
20	instantiation	30, 27	⊢
	:
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
22	assumption		⊢
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
24	instantiation	44, 28, 29	⊢
	: , : , :
25	instantiation	30, 31	,  ⊢
	:
26	instantiation	32, 33	⊢
	: , : , :
27	instantiation	44, 45, 34	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
29	instantiation	44, 35, 36	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.division.frac_one_denom
31	instantiation	37, 38, 40	,  ⊢
	: , :
32	axiom		⊢
	proveit.logic.equality.substitution
33	instantiation	39, 40	⊢
	:
34	assumption		⊢
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
36	instantiation	44, 41, 42	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
38	instantiation	44, 45, 43	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
40	instantiation	44, 45, 46	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
43	assumption		⊢
44	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
46	assumption		⊢