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, 5, 6*, 7*	,  ⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
2	reference	44	⊢
3	reference	10	⊢
4	instantiation	79, 64, 8	,  ⊢
	: , : , :
5	instantiation	9, 10, 48, 60, 11, 12	,  ⊢
	: , : , :
6	instantiation	16, 13, 14, 15	⊢
	: , : , : , :
7	instantiation	16, 17, 18, 19	,  ⊢
	: , : , : , :
8	instantiation	79, 68, 20	,  ⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.ordering.less_eq_add_right_strong
10	instantiation	79, 64, 21	⊢
	: , : , :
11	instantiation	22, 70, 71, 67	,  ⊢
	: , : , :
12	instantiation	23, 24	⊢
	:
13	instantiation	30, 37, 78, 36, 38, 25, 39, 47, 29	⊢
	: , : , : , : , : , :
14	instantiation	30, 78, 37, 25, 32, 38, 39, 47, 42, 33	⊢
	: , : , : , : , : , :
15	instantiation	26, 27, 28	⊢
	: , : , :
16	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
17	instantiation	30, 37, 78, 36, 38, 31, 34, 47, 29	,  ⊢
	: , : , : , : , : , :
18	instantiation	30, 78, 37, 31, 32, 38, 34, 47, 42, 33	,  ⊢
	: , : , : , : , : , :
19	instantiation	35, 36, 37, 38, 34, 47, 42, 40	,  ⊢
	: , : , : , : , : , : , : , :
20	instantiation	72, 61, 74	,  ⊢
	: , :
21	instantiation	79, 68, 70	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
23	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
24	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
25	instantiation	45	⊢
	: , :
26	axiom		⊢
	proveit.logic.equality.equals_transitivity
27	instantiation	35, 36, 37, 38, 39, 47, 42, 40	⊢
	: , : , : , : , : , : , : , :
28	instantiation	41, 42, 43	⊢
	: , :
29	instantiation	79, 54, 44	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.addition.disassociation
31	instantiation	45	⊢
	: , :
32	instantiation	45	⊢
	: , :
33	instantiation	46, 47	⊢
	:
34	instantiation	79, 54, 48	,  ⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
37	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
38	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
39	instantiation	79, 54, 49	⊢
	: , : , :
40	instantiation	50	⊢
	:
41	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_reverse
42	instantiation	79, 54, 52	⊢
	: , : , :
43	instantiation	50	⊢
	:
44	instantiation	51, 52, 53	⊢
	: , :
45	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
46	theorem		⊢
	proveit.numbers.negation.complex_closure
47	instantiation	79, 54, 60	⊢
	: , : , :
48	instantiation	79, 64, 55	,  ⊢
	: , : , :
49	instantiation	79, 64, 56	⊢
	: , : , :
50	axiom		⊢
	proveit.logic.equality.equals_reflexivity
51	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
52	instantiation	57, 58, 81	⊢
	: , : , :
53	instantiation	59, 60	⊢
	:
54	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
55	instantiation	79, 68, 61	,  ⊢
	: , : , :
56	instantiation	79, 68, 73	⊢
	: , : , :
57	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
58	instantiation	62, 63	⊢
	: , :
59	theorem		⊢
	proveit.numbers.negation.real_closure
60	instantiation	79, 64, 65	⊢
	: , : , :
61	instantiation	79, 66, 67	,  ⊢
	: , : , :
62	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
63	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
64	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
65	instantiation	79, 68, 74	⊢
	: , : , :
66	instantiation	69, 70, 71	⊢
	: , :
67	assumption		⊢
68	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
69	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
70	instantiation	72, 73, 74	⊢
	: , :
71	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
72	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
73	instantiation	75, 76	⊢
	:
74	instantiation	79, 77, 78	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.negation.int_closure
76	instantiation	79, 80, 81	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
78	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
79	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
80	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
81	assumption		⊢
*equality replacement requirements