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	⊢
	: , : , :
1	reference	41	⊢
2	instantiation	41, 3	⊢
	: , : , :
3	instantiation	31, 4, 5	⊢
	: , : , :
4	instantiation	31, 6, 7	⊢
	: , : , :
5	instantiation	31, 8, 9	⊢
	: , : , :
6	instantiation	41, 10	⊢
	: , : , :
7	instantiation	41, 11	⊢
	: , : , :
8	instantiation	12, 37, 93, 81, 39, 13, 20, 50, 14	⊢
	: , : , : , : , : , :
9	instantiation	15, 20, 50, 16	⊢
	: , : , :
10	instantiation	24, 35, 62, 25, 17*	⊢
	: , :
11	instantiation	41, 18	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.addition.disassociation
13	instantiation	48	⊢
	: , :
14	instantiation	19, 20	⊢
	:
15	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
16	instantiation	21	⊢
	:
17	instantiation	31, 22, 23	⊢
	: , : , :
18	instantiation	24, 46, 62, 25, 26*	⊢
	: , :
19	theorem		⊢
	proveit.numbers.negation.complex_closure
20	instantiation	91, 70, 27	⊢
	: , : , :
21	axiom		⊢
	proveit.logic.equality.equals_reflexivity
22	instantiation	41, 42	⊢
	: , : , :
23	instantiation	31, 28, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.division.div_as_mult
25	instantiation	30, 90	⊢
	:
26	instantiation	31, 32, 33	⊢
	: , : , :
27	instantiation	91, 79, 34	⊢
	: , : , :
28	instantiation	43, 35, 50	⊢
	: , :
29	instantiation	36, 81, 93, 37, 38, 39, 50, 46, 47, 40*	⊢
	: , : , : , : , : , :
30	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
31	axiom		⊢
	proveit.logic.equality.equals_transitivity
32	instantiation	41, 42	⊢
	: , : , :
33	instantiation	43, 46, 50	⊢
	: , :
34	instantiation	91, 75, 44	⊢
	: , : , :
35	instantiation	45, 46, 47	⊢
	: , :
36	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
37	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
38	instantiation	48	⊢
	: , :
39	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
40	instantiation	49, 50	⊢
	:
41	axiom		⊢
	proveit.logic.equality.substitution
42	instantiation	51, 52, 88, 53*	⊢
	: , :
43	theorem		⊢
	proveit.numbers.multiplication.commutation
44	instantiation	54, 76, 55	⊢
	: , :
45	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
46	instantiation	91, 70, 56	⊢
	: , : , :
47	instantiation	91, 70, 57	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
49	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
50	instantiation	91, 70, 58	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
52	instantiation	91, 59, 60	⊢
	: , : , :
53	instantiation	61, 62	⊢
	:
54	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
55	instantiation	91, 89, 65	⊢
	: , : , :
56	instantiation	63, 64, 65	⊢
	: , : , :
57	instantiation	91, 79, 66	⊢
	: , : , :
58	instantiation	91, 79, 67	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
60	instantiation	91, 68, 69	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
62	instantiation	91, 70, 71	⊢
	: , : , :
63	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
64	instantiation	72, 73	⊢
	: , :
65	assumption		⊢
66	instantiation	91, 86, 74	⊢
	: , : , :
67	instantiation	91, 75, 76	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
69	instantiation	91, 77, 78	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
71	instantiation	91, 79, 80	⊢
	: , : , :
72	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
73	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
74	instantiation	91, 92, 81	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
76	instantiation	82, 83, 84	⊢
	: , :
77	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
78	instantiation	91, 85, 90	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
80	instantiation	91, 86, 87	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
82	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
83	instantiation	91, 89, 88	⊢
	: , : , :
84	instantiation	91, 89, 90	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
86	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
87	instantiation	91, 92, 93	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
89	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
90	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
91	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
92	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
93	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements