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.booleans.conjunction.and_if_both
2	instantiation	18, 75, 28, 19, 4, 22, 5*, 23*	,  ⊢
	: , : , :
3	instantiation	6, 7, 8	,  ⊢
	: , : , :
4	instantiation	9, 69, 70, 58	,  ⊢
	: , : , :
5	instantiation	10, 63, 42	⊢
	:
6	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
7	instantiation	11, 12, 13	,  ⊢
	: , : , :
8	instantiation	14, 45, 15, 28, 16, 17*	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
10	theorem		⊢
	proveit.numbers.division.frac_zero_numer
11	theorem		⊢
	proveit.logic.equality.sub_right_side_into
12	instantiation	18, 75, 19, 20, 21, 22, 23*	,  ⊢
	: , : , :
13	instantiation	24, 63, 33, 42, 25*	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.addition.strong_bound_via_right_term_bound
15	instantiation	26, 29	⊢
	:
16	instantiation	27, 28, 29, 30, 31*	⊢
	: , :
17	instantiation	32, 33	⊢
	:
18	theorem		⊢
	proveit.numbers.division.weak_div_from_numer_bound__pos_denom
19	instantiation	104, 87, 34	,  ⊢
	: , : , :
20	instantiation	104, 87, 35	⊢
	: , : , :
21	instantiation	36, 69, 70, 58	,  ⊢
	: , : , :
22	instantiation	37, 92	⊢
	:
23	instantiation	38, 39, 40	,  ⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.division.distribute_frac_through_subtract
25	instantiation	41, 63, 42	⊢
	:
26	theorem		⊢
	proveit.numbers.negation.real_closure
27	theorem		⊢
	proveit.numbers.negation.negated_strong_bound
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
29	instantiation	104, 87, 43	⊢
	: , : , :
30	instantiation	44, 55	⊢
	:
31	theorem		⊢
	proveit.numbers.negation.negated_zero
32	theorem		⊢
	proveit.numbers.addition.elim_zero_right
33	instantiation	104, 74, 45	⊢
	: , : , :
34	instantiation	104, 95, 46	,  ⊢
	: , : , :
35	instantiation	104, 95, 70	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
37	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
38	axiom		⊢
	proveit.logic.equality.equals_transitivity
39	instantiation	47, 48, 49, 52, 50*	,  ⊢
	: , : , :
40	instantiation	51, 52	⊢
	:
41	theorem		⊢
	proveit.numbers.division.frac_cancel_complete
42	instantiation	53, 92	⊢
	:
43	instantiation	104, 54, 55	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.positive_if_in_rational_pos
45	instantiation	104, 87, 56	⊢
	: , : , :
46	instantiation	104, 57, 58	,  ⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.division.frac_cancel_left
48	instantiation	104, 60, 59	⊢
	: , : , :
49	instantiation	104, 60, 61	⊢
	: , : , :
50	instantiation	62, 63	⊢
	:
51	theorem		⊢
	proveit.numbers.division.frac_one_denom
52	instantiation	104, 74, 64	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
54	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
55	instantiation	65, 66, 67	⊢
	: , :
56	instantiation	104, 95, 91	⊢
	: , : , :
57	instantiation	68, 69, 70	⊢
	: , :
58	instantiation	76, 97, 80	⊢
	: , : , : , : , :
59	instantiation	104, 72, 71	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
61	instantiation	104, 72, 73	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
63	instantiation	104, 74, 75	⊢
	: , : , :
64	instantiation	76, 77, 103, 78, 79, 80	⊢
	: , : , : , : , :
65	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
66	instantiation	104, 81, 94	⊢
	: , : , :
67	instantiation	104, 81, 92	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
69	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
70	instantiation	82, 96, 83	⊢
	: , :
71	instantiation	104, 85, 84	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
73	instantiation	104, 85, 86	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
75	instantiation	104, 87, 88	⊢
	: , : , :
76	theorem		⊢
	proveit.logic.booleans.conjunction.any_from_and
77	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
78	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
79	instantiation	89	⊢
	: , :
80	assumption		⊢
81	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
82	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
83	instantiation	90, 91	⊢
	:
84	instantiation	104, 93, 92	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
86	instantiation	104, 93, 94	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
88	instantiation	104, 95, 96	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
90	theorem		⊢
	proveit.numbers.negation.int_closure
91	instantiation	104, 102, 97	⊢
	: , : , :
92	instantiation	98, 103, 101	⊢
	: , :
93	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
94	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
95	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
96	instantiation	99, 100, 101	⊢
	: , :
97	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
98	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
99	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
100	instantiation	104, 102, 103	⊢
	: , : , :
101	instantiation	104, 105, 106	⊢
	: , : , :
102	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
103	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
104	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
105	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
106	assumption		⊢
*equality replacement requirements