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