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, 8, 9, 10, 11*	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.association
2	reference	56	⊢
3	reference	45	⊢
4	instantiation	12	⊢
	: , :
5	instantiation	12	⊢
	: , :
6	instantiation	15, 13, 14	⊢
	: , :
7	instantiation	15, 32, 26	⊢
	: , :
8	reference	32	⊢
9	instantiation	57, 38, 16	⊢
	: , : , :
10	instantiation	17, 25, 18, 19	⊢
	: , :
11	instantiation	20, 32, 44, 21, 22*	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13	instantiation	57, 38, 23	⊢
	: , : , :
14	instantiation	24, 25, 26	⊢
	: , :
15	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
16	instantiation	57, 47, 27	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.division.div_complex_closure
18	instantiation	57, 38, 28	⊢
	: , : , :
19	instantiation	29, 30	⊢
	:
20	theorem		⊢
	proveit.numbers.exponentiation.product_of_posnat_powers
21	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
22	instantiation	31, 32	⊢
	:
23	instantiation	57, 47, 33	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
25	instantiation	57, 38, 34	⊢
	: , : , :
26	instantiation	57, 38, 35	⊢
	: , : , :
27	instantiation	57, 54, 36	⊢
	: , : , :
28	instantiation	57, 47, 37	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat5
31	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
32	instantiation	57, 38, 39	⊢
	: , : , :
33	instantiation	57, 54, 40	⊢
	: , : , :
34	instantiation	57, 47, 41	⊢
	: , : , :
35	instantiation	42, 43, 44	⊢
	: , : , :
36	instantiation	57, 58, 45	⊢
	: , : , :
37	instantiation	57, 54, 46	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
39	instantiation	57, 47, 48	⊢
	: , : , :
40	instantiation	57, 58, 49	⊢
	: , : , :
41	instantiation	57, 54, 50	⊢
	: , : , :
42	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
43	instantiation	51, 52	⊢
	: , :
44	assumption		⊢
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
46	instantiation	57, 58, 53	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
48	instantiation	57, 54, 55	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
50	instantiation	57, 58, 56	⊢
	: , : , :
51	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
53	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
54	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
55	instantiation	57, 58, 59	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
57	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
58	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
59	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
*equality replacement requirements