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	41	⊢
2	instantiation	65, 5, 27	⊢
	: , : , :
3	reference	19	⊢
4	instantiation	26, 6	⊢
	: , :
5	instantiation	7, 8	⊢
	: , : , :
6	instantiation	9, 10	⊢
	: , :
7	theorem		⊢
	proveit.core_expr_types.tuples.range_len
8	instantiation	65, 11, 12	⊢
	: , : , :
9	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len
10	instantiation	13, 14, 15	⊢
	:
11	instantiation	16, 17	⊢
	:
12	instantiation	41, 18, 19, 20	⊢
	: , : , : , :
13	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
14	instantiation	28, 82, 21	⊢
	: , :
15	instantiation	22, 30	⊢
	: , :
16	theorem		⊢
	proveit.numbers.negation.nat_closure
17	instantiation	23, 24, 25	⊢
	:
18	instantiation	46, 47, 73, 48*	⊢
	: , :
19	instantiation	45	⊢
	:
20	instantiation	26, 27	⊢
	: , :
21	instantiation	81, 90	⊢
	:
22	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
23	theorem		⊢
	proveit.numbers.number_sets.integers.nonpos_int_is_int_nonpos
24	instantiation	28, 75, 90	⊢
	: , :
25	instantiation	29, 60, 78, 69, 30, 31*, 32*	⊢
	: , : , :
26	theorem		⊢
	proveit.logic.equality.equals_reversal
27	instantiation	33, 34, 35	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
29	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
30	instantiation	36, 89	⊢
	:
31	instantiation	72, 73, 47	⊢
	: , :
32	instantiation	37, 62, 38	⊢
	: , :
33	axiom		⊢
	proveit.logic.equality.equals_transitivity
34	instantiation	39, 40	⊢
	: , : , :
35	instantiation	41, 42, 43, 44	⊢
	: , : , : , :
36	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
37	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
38	instantiation	45	⊢
	:
39	axiom		⊢
	proveit.logic.equality.substitution
40	instantiation	46, 47, 80, 48*	⊢
	: , :
41	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
42	instantiation	49, 93, 98, 50, 51, 62, 74, 73	⊢
	: , : , : , : , : , :
43	instantiation	52, 56, 53, 58, 54, 62, 74, 73	⊢
	: , : , : , :
44	instantiation	55, 93, 98, 56, 57, 58, 62, 74, 73, 59*	⊢
	: , : , : , : , : , :
45	axiom		⊢
	proveit.logic.equality.equals_reflexivity
46	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
47	instantiation	96, 86, 60	⊢
	: , : , :
48	instantiation	61, 62	⊢
	:
49	theorem		⊢
	proveit.numbers.addition.disassociation
50	instantiation	64	⊢
	: , :
51	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
52	theorem		⊢
	proveit.numbers.addition.elim_zero_any
53	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
54	instantiation	63	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.addition.association
56	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
57	instantiation	64	⊢
	: , :
58	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
59	instantiation	65, 66, 67	⊢
	: , : , :
60	instantiation	96, 91, 68	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.negation.double_negation
62	instantiation	96, 86, 69	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
64	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
65	theorem		⊢
	proveit.logic.equality.sub_right_side_into
66	instantiation	70, 73, 80, 71	⊢
	: , : , :
67	instantiation	72, 73, 74	⊢
	: , :
68	instantiation	96, 94, 75	⊢
	: , : , :
69	instantiation	76, 77, 89	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
71	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
72	theorem		⊢
	proveit.numbers.addition.commutation
73	instantiation	96, 86, 78	⊢
	: , : , :
74	instantiation	79, 80	⊢
	:
75	instantiation	81, 82	⊢
	:
76	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
77	instantiation	83, 84	⊢
	: , :
78	instantiation	96, 91, 85	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.negation.complex_closure
80	instantiation	96, 86, 87	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.negation.int_closure
82	instantiation	96, 88, 89	⊢
	: , : , :
83	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
84	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
85	instantiation	96, 94, 90	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
87	instantiation	96, 91, 92	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
89	assumption		⊢
90	instantiation	96, 97, 93	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
92	instantiation	96, 94, 95	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
94	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
95	instantiation	96, 97, 98	⊢
	: , : , :
96	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
97	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
98	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements