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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 68, 5, 6, 11, 12, 41, 14, 13, 15	, , ,  ⊢
	: , : , : , : , : , : , :
3	instantiation	7, 65, 8, 9, 10, 11, 12, 41, 13, 14, 15, 16*	, , ,  ⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
6	instantiation	17	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.multiplication.association
8	instantiation	18	⊢
	: , :
9	instantiation	18	⊢
	: , :
10	instantiation	18	⊢
	: , :
11	instantiation	66, 51, 19	⊢
	: , : , :
12	instantiation	20, 21	⊢
	:
13	instantiation	22, 41, 43, 23	⊢
	: , :
14	instantiation	24, 25, 41	⊢
	: , :
15	instantiation	66, 51, 26	⊢
	: , : , :
16	instantiation	27, 41, 28, 29, 30*, 31*, 32*	⊢
	: , : , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
19	instantiation	66, 45, 33	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.exponentiation.sqrt_complex_closure
21	instantiation	66, 51, 34	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.division.div_complex_closure
23	instantiation	35, 61	⊢
	:
24	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
25	instantiation	66, 51, 36	⊢
	: , : , :
26	assumption		⊢
27	theorem		⊢
	proveit.numbers.division.prod_of_fracs
28	instantiation	66, 38, 37	⊢
	: , : , :
29	instantiation	66, 38, 39	⊢
	: , : , :
30	instantiation	40, 41	⊢
	:
31	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
32	instantiation	42, 43	⊢
	:
33	assumption		⊢
34	instantiation	66, 45, 44	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
36	instantiation	66, 45, 46	⊢
	: , : , :
37	instantiation	66, 48, 47	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
39	instantiation	66, 48, 49	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.division.frac_one_denom
41	instantiation	66, 51, 50	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
43	instantiation	66, 51, 52	⊢
	: , : , :
44	assumption		⊢
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
46	assumption		⊢
47	instantiation	66, 54, 53	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
49	instantiation	66, 54, 55	⊢
	: , : , :
50	instantiation	66, 57, 56	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
52	instantiation	66, 57, 58	⊢
	: , : , :
53	instantiation	66, 60, 59	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
55	instantiation	66, 60, 61	⊢
	: , : , :
56	instantiation	66, 63, 62	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
58	instantiation	66, 63, 64	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
60	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
61	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
62	instantiation	66, 67, 65	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
64	instantiation	66, 67, 68	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
66	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
67	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
68	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
*equality replacement requirements