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	⊢
	: , : , :
1	theorem		⊢
	proveit.logic.booleans.conjunction.redundant_conjunction_general
2	reference	71	⊢
3	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
4	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
5	instantiation	6, 7, 46, 60, 8, 9*, 10*	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
7	instantiation	83, 69, 11	⊢
	: , : , :
8	instantiation	12, 85	⊢
	:
9	instantiation	16, 13, 14, 15	⊢
	: , : , : , :
10	instantiation	16, 17, 18, 19	⊢
	: , : , : , :
11	instantiation	83, 75, 20	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
13	instantiation	41, 21, 22	⊢
	: , : , :
14	instantiation	23, 45, 53, 54, 24	⊢
	: , : , :
15	instantiation	63	⊢
	:
16	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
17	instantiation	41, 25, 26	⊢
	: , : , :
18	instantiation	63	⊢
	:
19	instantiation	27, 28	⊢
	: , :
20	instantiation	76, 77, 65	⊢
	: , :
21	instantiation	47, 72, 82, 48, 34, 50, 39, 51	⊢
	: , : , : , : , : , :
22	instantiation	41, 29, 30	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
24	instantiation	31, 32, 33	⊢
	: , : , :
25	instantiation	47, 72, 82, 48, 34, 50, 53, 51, 39	⊢
	: , : , : , : , : , :
26	instantiation	52, 53, 39, 55	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.equality.equals_reversal
28	instantiation	35, 39	⊢
	:
29	instantiation	36, 72, 48, 50, 39, 51	⊢
	: , : , : , : , : , : , :
30	instantiation	37, 48, 82, 72, 50, 38, 39, 51, 40*	⊢
	: , : , : , : , : , :
31	theorem		⊢
	proveit.logic.equality.sub_right_side_into
32	instantiation	41, 42, 43	⊢
	: , : , :
33	instantiation	44, 53, 45	⊢
	: , :
34	instantiation	58	⊢
	: , :
35	theorem		⊢
	proveit.numbers.addition.elim_zero_left
36	theorem		⊢
	proveit.numbers.addition.leftward_commutation
37	theorem		⊢
	proveit.numbers.addition.association
38	instantiation	58	⊢
	: , :
39	instantiation	83, 61, 46	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
41	axiom		⊢
	proveit.logic.equality.equals_transitivity
42	instantiation	47, 72, 82, 48, 49, 50, 53, 51, 54	⊢
	: , : , : , : , : , :
43	instantiation	52, 53, 54, 55	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.addition.commutation
45	instantiation	83, 61, 56	⊢
	: , : , :
46	instantiation	83, 69, 57	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.addition.disassociation
48	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
49	instantiation	58	⊢
	: , :
50	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
51	instantiation	83, 61, 59	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
53	instantiation	83, 61, 60	⊢
	: , : , :
54	instantiation	83, 61, 62	⊢
	: , : , :
55	instantiation	63	⊢
	:
56	instantiation	83, 69, 64	⊢
	: , : , :
57	instantiation	83, 75, 65	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
59	instantiation	83, 69, 66	⊢
	: , : , :
60	instantiation	67, 68, 85	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
62	instantiation	83, 69, 70	⊢
	: , : , :
63	axiom		⊢
	proveit.logic.equality.equals_reflexivity
64	instantiation	83, 75, 71	⊢
	: , : , :
65	instantiation	83, 81, 72	⊢
	: , : , :
66	instantiation	83, 75, 77	⊢
	: , : , :
67	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
68	instantiation	73, 74	⊢
	: , :
69	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
70	instantiation	83, 75, 78	⊢
	: , : , :
71	instantiation	76, 77, 78	⊢
	: , :
72	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
73	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
74	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
75	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
76	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
77	instantiation	79, 80	⊢
	:
78	instantiation	83, 81, 82	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.negation.int_closure
80	instantiation	83, 84, 85	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
82	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
83	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
84	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
85	assumption		⊢
*equality replacement requirements