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	reference	31	⊢
2	instantiation	5, 6, 7, 8, 9, 10, 11, 17*, 12*	⊢
	: , : , : , :
3	instantiation	14, 13	⊢
	: , :
4	instantiation	14, 15	⊢
	: , :
5	theorem		⊢
	proveit.core_expr_types.tuples.general_len
6	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
7	instantiation	62	⊢
	: , :
8	instantiation	62	⊢
	: , :
9	instantiation	62	⊢
	: , :
10	instantiation	16, 88, 17	⊢
	: , : , :
11	instantiation	18, 48, 19, 47, 20, 88	⊢
	: , :
12	instantiation	21, 22, 23	⊢
	: , : , :
13	instantiation	66, 70, 67	⊢
	: , :
14	theorem		⊢
	proveit.logic.equality.equals_reversal
15	instantiation	24, 25	⊢
	: , :
16	theorem		⊢
	proveit.logic.equality.sub_left_side_into
17	instantiation	26, 67, 53	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.addition.add_nat_closure
19	instantiation	63	⊢
	: , : , :
20	instantiation	27, 28	⊢
	:
21	axiom		⊢
	proveit.logic.equality.equals_transitivity
22	instantiation	29, 30	⊢
	: , : , :
23	instantiation	31, 32, 33, 34	⊢
	: , : , : , :
24	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len
25	instantiation	91, 35, 36	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
27	theorem		⊢
	proveit.numbers.negation.nat_closure
28	instantiation	37, 38, 39	⊢
	:
29	axiom		⊢
	proveit.logic.equality.substitution
30	instantiation	40, 68, 67, 41*	⊢
	: , :
31	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
32	instantiation	42, 88, 43, 44, 45, 70, 51, 67	⊢
	: , : , : , : , : , :
33	instantiation	46, 47, 48, 49, 50, 70, 51, 67	⊢
	: , : , : , :
34	instantiation	52, 67, 70, 53	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
36	instantiation	54, 93, 55	⊢
	: , :
37	theorem		⊢
	proveit.numbers.number_sets.integers.nonpos_int_is_int_nonpos
38	instantiation	56, 84, 82	⊢
	: , :
39	instantiation	57, 73, 72, 75, 58, 59*, 60*	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
41	instantiation	61, 70	⊢
	:
42	theorem		⊢
	proveit.numbers.addition.disassociation
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
44	instantiation	62	⊢
	: , :
45	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
46	theorem		⊢
	proveit.numbers.addition.elim_zero_any
47	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
49	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
50	instantiation	63	⊢
	: , : , :
51	instantiation	64, 67	⊢
	:
52	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
53	instantiation	76	⊢
	:
54	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
55	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
56	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
57	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
58	instantiation	65, 93	⊢
	:
59	instantiation	66, 67, 68	⊢
	: , :
60	instantiation	69, 70, 71	⊢
	: , :
61	theorem		⊢
	proveit.numbers.negation.double_negation
62	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
63	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
64	theorem		⊢
	proveit.numbers.negation.complex_closure
65	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
66	theorem		⊢
	proveit.numbers.addition.commutation
67	instantiation	91, 74, 72	⊢
	: , : , :
68	instantiation	91, 74, 73	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
70	instantiation	91, 74, 75	⊢
	: , : , :
71	instantiation	76	⊢
	:
72	instantiation	91, 78, 77	⊢
	: , : , :
73	instantiation	91, 78, 79	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
75	instantiation	80, 81, 93	⊢
	: , : , :
76	axiom		⊢
	proveit.logic.equality.equals_reflexivity
77	instantiation	91, 83, 82	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
79	instantiation	91, 83, 84	⊢
	: , : , :
80	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
81	instantiation	85, 86	⊢
	: , :
82	instantiation	91, 87, 88	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
84	instantiation	89, 90	⊢
	:
85	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
86	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
87	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
88	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
89	theorem		⊢
	proveit.numbers.negation.int_closure
90	instantiation	91, 92, 93	⊢
	: , : , :
91	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
92	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
93	assumption		⊢
*equality replacement requirements