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.core_expr_types.tuples.partition_back
2	instantiation	5, 6, 7	⊢
	:
3	instantiation	31, 8, 42, 9	⊢
	: , : , :
4	instantiation	55, 42, 56, 10	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
6	instantiation	79, 68, 11	⊢
	: , :
7	instantiation	12, 13	⊢
	: , :
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
9	instantiation	14, 42	⊢
	:
10	instantiation	66	⊢
	:
11	instantiation	82, 74	⊢
	:
12	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
13	instantiation	15, 16, 49, 63, 17, 18*, 19*	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.addition.elim_zero_left
15	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
16	instantiation	86, 72, 20	⊢
	: , : , :
17	instantiation	21, 88	⊢
	:
18	instantiation	22, 23, 24, 25	⊢
	: , : , : , :
19	instantiation	44, 26, 27	⊢
	: , : , :
20	instantiation	86, 78, 28	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
22	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
23	instantiation	44, 29, 30	⊢
	: , : , :
24	instantiation	31, 48, 56, 57, 32	⊢
	: , : , :
25	instantiation	66	⊢
	:
26	instantiation	50, 75, 85, 51, 33, 53, 56, 54, 42	⊢
	: , : , : , : , : , :
27	instantiation	55, 56, 42, 58	⊢
	: , : , :
28	instantiation	79, 80, 68	⊢
	: , :
29	instantiation	50, 75, 85, 51, 33, 53, 42, 54	⊢
	: , : , : , : , : , :
30	instantiation	44, 34, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
32	instantiation	36, 37, 38	⊢
	: , : , :
33	instantiation	61	⊢
	: , :
34	instantiation	39, 75, 51, 53, 42, 54	⊢
	: , : , : , : , : , : , :
35	instantiation	40, 51, 85, 75, 53, 41, 42, 54, 43*	⊢
	: , : , : , : , : , :
36	theorem		⊢
	proveit.logic.equality.sub_right_side_into
37	instantiation	44, 45, 46	⊢
	: , : , :
38	instantiation	47, 56, 48	⊢
	: , :
39	theorem		⊢
	proveit.numbers.addition.leftward_commutation
40	theorem		⊢
	proveit.numbers.addition.association
41	instantiation	61	⊢
	: , :
42	instantiation	86, 64, 49	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
44	axiom		⊢
	proveit.logic.equality.equals_transitivity
45	instantiation	50, 75, 85, 51, 52, 53, 56, 54, 57	⊢
	: , : , : , : , : , :
46	instantiation	55, 56, 57, 58	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.addition.commutation
48	instantiation	86, 64, 59	⊢
	: , : , :
49	instantiation	86, 72, 60	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.addition.disassociation
51	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
52	instantiation	61	⊢
	: , :
53	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
54	instantiation	86, 64, 62	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
56	instantiation	86, 64, 63	⊢
	: , : , :
57	instantiation	86, 64, 65	⊢
	: , : , :
58	instantiation	66	⊢
	:
59	instantiation	86, 72, 67	⊢
	: , : , :
60	instantiation	86, 78, 68	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
62	instantiation	86, 72, 69	⊢
	: , : , :
63	instantiation	70, 71, 88	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
65	instantiation	86, 72, 73	⊢
	: , : , :
66	axiom		⊢
	proveit.logic.equality.equals_reflexivity
67	instantiation	86, 78, 74	⊢
	: , : , :
68	instantiation	86, 84, 75	⊢
	: , : , :
69	instantiation	86, 78, 80	⊢
	: , : , :
70	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
71	instantiation	76, 77	⊢
	: , :
72	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
73	instantiation	86, 78, 81	⊢
	: , : , :
74	instantiation	79, 80, 81	⊢
	: , :
75	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
76	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
77	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
78	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
79	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
80	instantiation	82, 83	⊢
	:
81	instantiation	86, 84, 85	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.negation.int_closure
83	instantiation	86, 87, 88	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
85	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
86	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
87	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
88	assumption		⊢
*equality replacement requirements