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