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	51	⊢
2	instantiation	4, 5	⊢
	:
3	instantiation	27, 6, 7, 8	⊢
	: , : , : , :
4	theorem		⊢
	proveit.numbers.negation.nat_closure
5	instantiation	9, 10, 11	⊢
	:
6	instantiation	32, 33, 59, 34*	⊢
	: , :
7	instantiation	31	⊢
	:
8	instantiation	12, 13	⊢
	: , :
9	theorem		⊢
	proveit.numbers.number_sets.integers.nonpos_int_is_int_nonpos
10	instantiation	14, 61, 76	⊢
	: , :
11	instantiation	15, 46, 64, 55, 16, 17*, 18*	⊢
	: , : , :
12	theorem		⊢
	proveit.logic.equality.equals_reversal
13	instantiation	19, 20, 21	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
15	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
16	instantiation	22, 75	⊢
	:
17	instantiation	58, 59, 33	⊢
	: , :
18	instantiation	23, 48, 24	⊢
	: , :
19	axiom		⊢
	proveit.logic.equality.equals_transitivity
20	instantiation	25, 26	⊢
	: , : , :
21	instantiation	27, 28, 29, 30	⊢
	: , : , : , :
22	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
23	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
24	instantiation	31	⊢
	:
25	axiom		⊢
	proveit.logic.equality.substitution
26	instantiation	32, 33, 66, 34*	⊢
	: , :
27	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
28	instantiation	35, 79, 84, 36, 37, 48, 60, 59	⊢
	: , : , : , : , : , :
29	instantiation	38, 42, 39, 44, 40, 48, 60, 59	⊢
	: , : , : , :
30	instantiation	41, 79, 84, 42, 43, 44, 48, 60, 59, 45*	⊢
	: , : , : , : , : , :
31	axiom		⊢
	proveit.logic.equality.equals_reflexivity
32	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
33	instantiation	82, 72, 46	⊢
	: , : , :
34	instantiation	47, 48	⊢
	:
35	theorem		⊢
	proveit.numbers.addition.disassociation
36	instantiation	50	⊢
	: , :
37	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
38	theorem		⊢
	proveit.numbers.addition.elim_zero_any
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
40	instantiation	49	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.addition.association
42	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
43	instantiation	50	⊢
	: , :
44	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
45	instantiation	51, 52, 53	⊢
	: , : , :
46	instantiation	82, 77, 54	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.negation.double_negation
48	instantiation	82, 72, 55	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
50	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
51	theorem		⊢
	proveit.logic.equality.sub_right_side_into
52	instantiation	56, 59, 66, 57	⊢
	: , : , :
53	instantiation	58, 59, 60	⊢
	: , :
54	instantiation	82, 80, 61	⊢
	: , : , :
55	instantiation	62, 63, 75	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
57	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
58	theorem		⊢
	proveit.numbers.addition.commutation
59	instantiation	82, 72, 64	⊢
	: , : , :
60	instantiation	65, 66	⊢
	:
61	instantiation	67, 68	⊢
	:
62	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
63	instantiation	69, 70	⊢
	: , :
64	instantiation	82, 77, 71	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.negation.complex_closure
66	instantiation	82, 72, 73	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.negation.int_closure
68	instantiation	82, 74, 75	⊢
	: , : , :
69	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
70	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
71	instantiation	82, 80, 76	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
73	instantiation	82, 77, 78	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
75	assumption		⊢
76	instantiation	82, 83, 79	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
78	instantiation	82, 80, 81	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
80	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
81	instantiation	82, 83, 84	⊢
	: , : , :
82	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
83	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
84	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements