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	10	⊢
2	instantiation	4, 5, 6, 7	⊢
	: , : , : , :
3	instantiation	10, 8, 9	⊢
	: , : , :
4	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
5	instantiation	10, 11, 12	⊢
	: , : , :
6	instantiation	16, 20, 70, 79, 22, 13, 14, 46, 28, 29, 48, 30, 31, 15*	⊢
	: , : , : , : , : , :
7	instantiation	16, 83, 70, 17, 18, 23, 29, 48, 30, 31, 19*	⊢
	: , : , : , : , : , :
8	instantiation	26, 20, 70, 83, 22, 21, 23, 24, 30, 31	⊢
	: , : , : , : , : , : , :
9	instantiation	26, 83, 70, 20, 21, 22, 30, 23, 24, 31	⊢
	: , : , : , : , : , : , :
10	axiom		⊢
	proveit.logic.equality.equals_transitivity
11	instantiation	26, 83, 80, 25, 46, 29, 28, 30, 48, 31	⊢
	: , : , : , : , : , : , :
12	instantiation	26, 80, 83, 27, 46, 28, 29, 30, 48, 31	⊢
	: , : , : , : , : , : , :
13	instantiation	37	⊢
	: , :
14	instantiation	32	⊢
	: , : , : , :
15	instantiation	34, 46, 35, 67, 33*	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.multiplication.association
17	instantiation	37	⊢
	: , :
18	instantiation	37	⊢
	: , :
19	instantiation	34, 48, 67, 35, 36*	⊢
	: , : , :
20	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
21	instantiation	37	⊢
	: , :
22	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
23	instantiation	41, 46, 38	⊢
	: , :
24	instantiation	41, 48, 39	⊢
	: , :
25	instantiation	40	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
27	instantiation	40	⊢
	: , : , :
28	instantiation	41, 46, 50	⊢
	: , :
29	instantiation	41, 48, 50	⊢
	: , :
30	instantiation	81, 59, 42	⊢
	: , : , :
31	instantiation	43, 51, 44, 45	⊢
	: , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
33	instantiation	47, 46	⊢
	:
34	theorem		⊢
	proveit.numbers.exponentiation.product_of_posnat_powers
35	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
36	instantiation	47, 48	⊢
	:
37	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
38	instantiation	49, 51, 50	⊢
	: , :
39	instantiation	49, 50, 51	⊢
	: , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
41	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
42	instantiation	81, 68, 52	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.division.div_complex_closure
44	instantiation	81, 59, 53	⊢
	: , : , :
45	instantiation	54, 55	⊢
	:
46	instantiation	81, 59, 56	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
48	instantiation	81, 59, 57	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
50	instantiation	81, 59, 58	⊢
	: , : , :
51	instantiation	81, 59, 60	⊢
	: , : , :
52	instantiation	81, 76, 61	⊢
	: , : , :
53	instantiation	81, 68, 62	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
55	theorem		⊢
	proveit.numbers.numerals.decimals.posnat5
56	instantiation	81, 68, 63	⊢
	: , : , :
57	instantiation	81, 68, 64	⊢
	: , : , :
58	instantiation	65, 66, 67	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
60	instantiation	81, 68, 69	⊢
	: , : , :
61	instantiation	81, 82, 70	⊢
	: , : , :
62	instantiation	81, 76, 71	⊢
	: , : , :
63	instantiation	81, 76, 72	⊢
	: , : , :
64	instantiation	81, 76, 73	⊢
	: , : , :
65	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
66	instantiation	74, 75	⊢
	: , :
67	assumption		⊢
68	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
69	instantiation	81, 76, 77	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
71	instantiation	81, 82, 78	⊢
	: , : , :
72	instantiation	81, 82, 79	⊢
	: , : , :
73	instantiation	81, 82, 80	⊢
	: , : , :
74	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
75	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
76	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
77	instantiation	81, 82, 83	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
79	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
80	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
81	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
82	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
83	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements