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	theorem		⊢
	proveit.core_expr_types.tuples.extended_range_len
2	instantiation	4, 5	⊢
	: , : , :
3	instantiation	31, 6, 7	⊢
	: , : , :
4	theorem		⊢
	proveit.core_expr_types.tuples.range_len_is_nat
5	instantiation	63, 8, 9	⊢
	: , : , :
6	instantiation	37, 38	⊢
	: , : , :
7	instantiation	39, 10, 11, 12	⊢
	: , : , : , :
8	instantiation	13, 14	⊢
	:
9	instantiation	39, 15, 16, 17	⊢
	: , : , : , :
10	instantiation	47, 91, 96, 48, 49, 60, 72, 78	⊢
	: , : , : , : , : , :
11	instantiation	50, 54, 51, 56, 18, 60, 72, 78	⊢
	: , : , : , :
12	instantiation	19, 78, 60, 20	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.negation.nat_closure
14	instantiation	21, 22, 23	⊢
	:
15	instantiation	44, 45, 71, 46*	⊢
	: , :
16	instantiation	43	⊢
	:
17	instantiation	24, 25	⊢
	: , :
18	instantiation	61	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
20	instantiation	43	⊢
	:
21	theorem		⊢
	proveit.numbers.number_sets.integers.nonpos_int_is_int_nonpos
22	instantiation	26, 73, 88	⊢
	: , :
23	instantiation	27, 58, 76, 67, 28, 29*, 30*	⊢
	: , : , :
24	theorem		⊢
	proveit.logic.equality.equals_reversal
25	instantiation	31, 32, 33	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
27	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
28	instantiation	34, 87	⊢
	:
29	instantiation	70, 71, 45	⊢
	: , :
30	instantiation	35, 60, 36	⊢
	: , :
31	axiom		⊢
	proveit.logic.equality.equals_transitivity
32	instantiation	37, 38	⊢
	: , : , :
33	instantiation	39, 40, 41, 42	⊢
	: , : , : , :
34	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
35	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
36	instantiation	43	⊢
	:
37	axiom		⊢
	proveit.logic.equality.substitution
38	instantiation	44, 45, 78, 46*	⊢
	: , :
39	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
40	instantiation	47, 91, 96, 48, 49, 60, 72, 71	⊢
	: , : , : , : , : , :
41	instantiation	50, 54, 51, 56, 52, 60, 72, 71	⊢
	: , : , : , :
42	instantiation	53, 91, 96, 54, 55, 56, 60, 72, 71, 57*	⊢
	: , : , : , : , : , :
43	axiom		⊢
	proveit.logic.equality.equals_reflexivity
44	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
45	instantiation	94, 84, 58	⊢
	: , : , :
46	instantiation	59, 60	⊢
	:
47	theorem		⊢
	proveit.numbers.addition.disassociation
48	instantiation	62	⊢
	: , :
49	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
50	theorem		⊢
	proveit.numbers.addition.elim_zero_any
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
52	instantiation	61	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.addition.association
54	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
55	instantiation	62	⊢
	: , :
56	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
57	instantiation	63, 64, 65	⊢
	: , : , :
58	instantiation	94, 89, 66	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.negation.double_negation
60	instantiation	94, 84, 67	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
62	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
63	theorem		⊢
	proveit.logic.equality.sub_right_side_into
64	instantiation	68, 71, 78, 69	⊢
	: , : , :
65	instantiation	70, 71, 72	⊢
	: , :
66	instantiation	94, 92, 73	⊢
	: , : , :
67	instantiation	74, 75, 87	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
69	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
70	theorem		⊢
	proveit.numbers.addition.commutation
71	instantiation	94, 84, 76	⊢
	: , : , :
72	instantiation	77, 78	⊢
	:
73	instantiation	79, 80	⊢
	:
74	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
75	instantiation	81, 82	⊢
	: , :
76	instantiation	94, 89, 83	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.negation.complex_closure
78	instantiation	94, 84, 85	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.negation.int_closure
80	instantiation	94, 86, 87	⊢
	: , : , :
81	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
82	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
83	instantiation	94, 92, 88	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
85	instantiation	94, 89, 90	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
87	assumption		⊢
88	instantiation	94, 95, 91	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
90	instantiation	94, 92, 93	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
92	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
93	instantiation	94, 95, 96	⊢
	: , : , :
94	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
95	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
96	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements