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