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