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, 12, 13	, , ,  ⊢
	: , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
2	reference	49	⊢
3	reference	61	⊢
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	14	⊢
	: , : , :
6	instantiation	15	⊢
	: , :
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	16, 17, 18, 19	⊢
	: , :
9	instantiation	24, 20, 21	⊢
	: , :
10	reference	25	⊢
11	instantiation	59, 40, 22	⊢
	: , : , :
12	instantiation	59, 40, 23	⊢
	: , : , :
13	instantiation	24, 25, 26	⊢
	: , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	theorem		⊢
	proveit.numbers.division.div_complex_closure
17	instantiation	59, 40, 27	⊢
	: , : , :
18	instantiation	59, 40, 28	⊢
	: , : , :
19	instantiation	53, 29	⊢
	:
20	instantiation	59, 40, 30	⊢
	: , : , :
21	instantiation	59, 40, 46	⊢
	: , : , :
22	instantiation	59, 38, 31	⊢
	: , : , :
23	assumption		⊢
24	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
25	instantiation	59, 40, 32	⊢
	: , : , :
26	instantiation	33, 34	⊢
	:
27	instantiation	59, 51, 35	⊢
	: , : , :
28	instantiation	59, 51, 36	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
30	instantiation	59, 38, 37	⊢
	: , : , :
31	assumption		⊢
32	instantiation	59, 38, 39	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.negation.complex_closure
34	instantiation	59, 40, 41	⊢
	: , : , :
35	instantiation	59, 56, 42	⊢
	: , : , :
36	instantiation	59, 56, 43	⊢
	: , : , :
37	assumption		⊢
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
39	assumption		⊢
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
41	instantiation	44, 45, 46, 47	⊢
	: , :
42	instantiation	59, 60, 48	⊢
	: , : , :
43	instantiation	59, 60, 49	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.division.div_real_closure
45	instantiation	59, 51, 50	⊢
	: , : , :
46	instantiation	59, 51, 52	⊢
	: , : , :
47	instantiation	53, 54	⊢
	:
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
50	instantiation	59, 56, 55	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
52	instantiation	59, 56, 57	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
54	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
55	instantiation	59, 60, 58	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
57	instantiation	59, 60, 61	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
59	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
60	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
61	theorem		⊢
	proveit.numbers.numerals.decimals.nat2