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	⊢
	: , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
2	reference	48	⊢
3	reference	49	⊢
4	instantiation	11	⊢
	: , : , :
5	reference	12	⊢
6	instantiation	13, 12, 15	⊢
	: , :
7	instantiation	13, 14, 15	⊢
	: , :
8	instantiation	50, 26, 16	⊢
	: , : , :
9	reference	14	⊢
10	instantiation	17, 18, 19, 20	⊢
	: , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
12	instantiation	50, 26, 21	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
14	instantiation	50, 26, 22	⊢
	: , : , :
15	instantiation	50, 26, 23	⊢
	: , : , :
16	instantiation	50, 37, 24	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.division.div_complex_closure
18	instantiation	50, 26, 25	⊢
	: , : , :
19	instantiation	50, 26, 27	⊢
	: , : , :
20	instantiation	28, 29	⊢
	:
21	instantiation	50, 37, 30	⊢
	: , : , :
22	instantiation	50, 37, 31	⊢
	: , : , :
23	instantiation	32, 33, 34	⊢
	: , : , :
24	instantiation	50, 45, 35	⊢
	: , : , :
25	instantiation	50, 37, 36	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
27	instantiation	50, 37, 38	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat5
30	instantiation	50, 45, 39	⊢
	: , : , :
31	instantiation	50, 45, 40	⊢
	: , : , :
32	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
33	instantiation	41, 42	⊢
	: , :
34	assumption		⊢
35	instantiation	50, 51, 43	⊢
	: , : , :
36	instantiation	50, 45, 44	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
38	instantiation	50, 45, 46	⊢
	: , : , :
39	instantiation	50, 51, 47	⊢
	: , : , :
40	instantiation	50, 51, 48	⊢
	: , : , :
41	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
44	instantiation	50, 51, 49	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
46	instantiation	50, 51, 52	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
50	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
51	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
52	theorem		⊢
	proveit.numbers.numerals.decimals.nat5