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