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