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	, , ,  ⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	5, 6, 97, 7, 60, 11, 56, 16, 17	, , ,  ⊢
	: , : , : , : , : , : , :
3	instantiation	13, 44, 92, 8, 45, 9, 10, 60, 11, 56, 16, 17, 12*	, , ,  ⊢
	: , : , : , : , : , :
4	instantiation	13, 97, 92, 14, 15, 21, 56, 16, 17, 18*	, , ,  ⊢
	: , : , : , : , : , :
5	theorem		⊢
	proveit.numbers.addition.leftward_commutation
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
7	instantiation	19	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
9	instantiation	73	⊢
	: , :
10	instantiation	20	⊢
	: , : , : , :
11	instantiation	58, 21	⊢
	:
12	instantiation	53, 22, 23, 24*	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.addition.association
14	instantiation	73	⊢
	: , :
15	instantiation	73	⊢
	: , :
16	instantiation	95, 87, 25	⊢
	: , : , :
17	instantiation	28, 75, 26	⊢
	: , :
18	instantiation	41, 27, 68*	⊢
	: , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
21	instantiation	28, 59, 60	⊢
	: , :
22	instantiation	29, 30	⊢
	: , : , :
23	instantiation	41, 31	⊢
	: , :
24	instantiation	32, 94, 33, 89, 34*, 35*, 36*	⊢
	: , : , : , :
25	instantiation	95, 81, 37	⊢
	: , : , :
26	instantiation	95, 87, 38	⊢
	: , : , :
27	instantiation	43, 44, 92, 97, 45, 39, 85, 56, 40*	⊢
	: , : , : , : , : , :
28	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
29	axiom		⊢
	proveit.logic.equality.substitution
30	instantiation	41, 42	⊢
	: , :
31	instantiation	43, 44, 92, 97, 45, 46, 85, 47, 60, 48*	⊢
	: , : , : , : , : , :
32	theorem		⊢
	proveit.numbers.addition.rational_pair_addition
33	instantiation	49, 94	⊢
	:
34	instantiation	50, 85, 51	⊢
	:
35	instantiation	52, 85, 75, 71	⊢
	: , :
36	instantiation	53, 54, 55	⊢
	: , : , :
37	assumption		⊢
38	assumption		⊢
39	instantiation	73	⊢
	: , :
40	instantiation	74, 56	⊢
	:
41	theorem		⊢
	proveit.logic.equality.equals_reversal
42	instantiation	57, 59, 60	⊢
	: , :
43	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
44	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
45	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
46	instantiation	73	⊢
	: , :
47	instantiation	58, 59	⊢
	:
48	instantiation	74, 60	⊢
	:
49	theorem		⊢
	proveit.numbers.negation.int_closure
50	theorem		⊢
	proveit.numbers.division.frac_cancel_complete
51	instantiation	79, 61	⊢
	:
52	theorem		⊢
	proveit.numbers.division.neg_frac_neg_numerator
53	axiom		⊢
	proveit.logic.equality.equals_transitivity
54	instantiation	62, 92, 63, 64, 65, 66	⊢
	: , : , : , :
55	instantiation	67, 85, 75, 68	⊢
	: , : , :
56	instantiation	95, 87, 69	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.negation.neg_times_pos
58	theorem		⊢
	proveit.numbers.negation.complex_closure
59	instantiation	70, 85, 75, 71	⊢
	: , :
60	instantiation	95, 87, 72	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
62	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
63	instantiation	73	⊢
	: , :
64	instantiation	73	⊢
	: , :
65	instantiation	74, 75	⊢
	:
66	instantiation	76, 85, 77*	⊢
	: , :
67	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
68	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
69	instantiation	95, 81, 78	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.division.div_complex_closure
71	instantiation	79, 80	⊢
	:
72	instantiation	95, 81, 82	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
74	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
75	instantiation	95, 87, 83	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.negation.pos_times_neg
77	instantiation	84, 85	⊢
	:
78	assumption		⊢
79	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
80	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
81	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
82	assumption		⊢
83	instantiation	95, 90, 86	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
85	instantiation	95, 87, 88	⊢
	: , : , :
86	instantiation	95, 93, 89	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
88	instantiation	95, 90, 91	⊢
	: , : , :
89	instantiation	95, 96, 92	⊢
	: , : , :
90	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
91	instantiation	95, 93, 94	⊢
	: , : , :
92	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
93	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
94	instantiation	95, 96, 97	⊢
	: , : , :
95	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
96	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
97	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements