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	⊢
	: , : , :
1	theorem		⊢
	proveit.logic.equality.sub_right_side_into
2	instantiation	4, 5	⊢
	: , : , :
3	instantiation	6, 7, 8	⊢
	: , : , :
4	theorem		⊢
	proveit.core_expr_types.tuples.range_len
5	instantiation	9, 28, 10, 27, 11, 69	⊢
	: , :
6	axiom		⊢
	proveit.logic.equality.equals_transitivity
7	instantiation	12, 13	⊢
	: , : , :
8	instantiation	14, 15, 16, 17	⊢
	: , : , : , :
9	theorem		⊢
	proveit.numbers.addition.add_nat_closure
10	instantiation	39	⊢
	: , : , :
11	instantiation	18, 19	⊢
	:
12	axiom		⊢
	proveit.logic.equality.substitution
13	instantiation	20, 49, 48, 21*	⊢
	: , :
14	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
15	instantiation	22, 69, 23, 24, 25, 51, 31, 48	⊢
	: , : , : , : , : , :
16	instantiation	26, 27, 28, 29, 30, 51, 31, 48	⊢
	: , : , : , :
17	instantiation	32, 48, 51, 33	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.negation.nat_closure
19	instantiation	34, 35, 36	⊢
	:
20	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
21	instantiation	37, 51	⊢
	:
22	theorem		⊢
	proveit.numbers.addition.disassociation
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
24	instantiation	38	⊢
	: , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
26	theorem		⊢
	proveit.numbers.addition.elim_zero_any
27	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
29	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
30	instantiation	39	⊢
	: , : , :
31	instantiation	40, 48	⊢
	:
32	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
33	instantiation	57	⊢
	:
34	theorem		⊢
	proveit.numbers.number_sets.integers.nonpos_int_is_int_nonpos
35	instantiation	41, 65, 63	⊢
	: , :
36	instantiation	42, 54, 53, 56, 43, 44*, 45*	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.negation.double_negation
38	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
39	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
40	theorem		⊢
	proveit.numbers.negation.complex_closure
41	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
42	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
43	instantiation	46, 74	⊢
	:
44	instantiation	47, 48, 49	⊢
	: , :
45	instantiation	50, 51, 52	⊢
	: , :
46	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
47	theorem		⊢
	proveit.numbers.addition.commutation
48	instantiation	72, 55, 53	⊢
	: , : , :
49	instantiation	72, 55, 54	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
51	instantiation	72, 55, 56	⊢
	: , : , :
52	instantiation	57	⊢
	:
53	instantiation	72, 59, 58	⊢
	: , : , :
54	instantiation	72, 59, 60	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
56	instantiation	61, 62, 74	⊢
	: , : , :
57	axiom		⊢
	proveit.logic.equality.equals_reflexivity
58	instantiation	72, 64, 63	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
60	instantiation	72, 64, 65	⊢
	: , : , :
61	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
62	instantiation	66, 67	⊢
	: , :
63	instantiation	72, 68, 69	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
65	instantiation	70, 71	⊢
	:
66	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
67	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
68	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
69	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
70	theorem		⊢
	proveit.numbers.negation.int_closure
71	instantiation	72, 73, 74	⊢
	: , : , :
72	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
73	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
74	assumption		⊢
*equality replacement requirements