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