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	⊢
	: , : , :
1	reference	35	⊢
2	instantiation	3, 76, 4, 5, 6, 7*	⊢
	: , : , : , : , : , :
3	theorem		⊢
	proveit.core_expr_types.tuples.shift_equivalence
4	instantiation	8, 9, 10	⊢
	: , :
5	instantiation	12, 11	⊢
	: , :
6	instantiation	12, 13	⊢
	: , :
7	instantiation	32, 14, 15	,  ⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.addition.add_nat_closure_bin
9	instantiation	83, 16, 17	⊢
	: , : , :
10	instantiation	18, 19	⊢
	:
11	instantiation	32, 20, 21	⊢
	: , : , :
12	theorem		⊢
	proveit.logic.equality.equals_reversal
13	instantiation	32, 22, 23	⊢
	: , : , :
14	instantiation	44, 45, 46, 80, 47, 24, 26, 55, 57	,  ⊢
	: , : , : , : , : , :
15	instantiation	25, 57, 26, 58	,  ⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
17	instantiation	27, 80, 45, 47, 28	⊢
	: , : , : , : , :
18	theorem		⊢
	proveit.numbers.negation.nat_closure
19	instantiation	29, 30, 31	⊢
	:
20	instantiation	35, 36	⊢
	: , : , :
21	instantiation	32, 33, 34	⊢
	: , : , :
22	instantiation	35, 36	⊢
	: , : , :
23	instantiation	37, 57	⊢
	:
24	instantiation	59	⊢
	: , :
25	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
26	instantiation	83, 63, 38	,  ⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.addition.add_nat_pos_from_nonneg
28	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
29	theorem		⊢
	proveit.numbers.number_sets.integers.nonpos_int_is_int_nonpos
30	instantiation	39, 76, 74	⊢
	: , :
31	instantiation	40, 62, 61, 64, 41, 42*, 43*	⊢
	: , : , :
32	axiom		⊢
	proveit.logic.equality.equals_transitivity
33	instantiation	44, 45, 46, 80, 47, 48, 55, 54, 57	⊢
	: , : , : , : , : , :
34	instantiation	49, 57, 54, 58	⊢
	: , : , :
35	axiom		⊢
	proveit.logic.equality.substitution
36	instantiation	50, 57	⊢
	:
37	theorem		⊢
	proveit.numbers.addition.elim_zero_left
38	instantiation	83, 69, 51	,  ⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
40	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
41	instantiation	52, 85	⊢
	:
42	instantiation	53, 54, 55	⊢
	: , :
43	instantiation	56, 57, 58	⊢
	: , :
44	theorem		⊢
	proveit.numbers.addition.disassociation
45	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
47	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
48	instantiation	59	⊢
	: , :
49	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_31
50	theorem		⊢
	proveit.numbers.negation.double_negation
51	instantiation	83, 75, 60	,  ⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
53	theorem		⊢
	proveit.numbers.addition.commutation
54	instantiation	83, 63, 61	⊢
	: , : , :
55	instantiation	83, 63, 62	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
57	instantiation	83, 63, 64	⊢
	: , : , :
58	instantiation	65	⊢
	:
59	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
60	instantiation	83, 66, 67	,  ⊢
	: , : , :
61	instantiation	83, 69, 68	⊢
	: , : , :
62	instantiation	83, 69, 70	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
64	instantiation	71, 72, 85	⊢
	: , : , :
65	axiom		⊢
	proveit.logic.equality.equals_reflexivity
66	instantiation	73, 74, 82	⊢
	: , :
67	assumption		⊢
68	instantiation	83, 75, 74	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
70	instantiation	83, 75, 76	⊢
	: , : , :
71	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
72	instantiation	77, 78	⊢
	: , :
73	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
74	instantiation	83, 79, 80	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
76	instantiation	81, 82	⊢
	:
77	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
78	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
79	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
80	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
81	theorem		⊢
	proveit.numbers.negation.int_closure
82	instantiation	83, 84, 85	⊢
	: , : , :
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