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	modus ponens	1, 2	⊢
1	instantiation	3, 81	⊢
	: , : , : , : , : , : , :
2	generalization	4	⊢
3	theorem		⊢
	proveit.core_expr_types.lambda_maps.general_lambda_substitution
4	instantiation	5, 6	,  ⊢
	: , :
5	theorem		⊢
	proveit.logic.equality.equals_reversal
6	instantiation	7, 17, 8, 9, 10*	,  ⊢
	: , : , : , :
7	theorem		⊢
	proveit.numbers.division.prod_of_fracs
8	instantiation	102, 11, 12	⊢
	: , : , :
9	instantiation	13, 14, 15	,  ⊢
	: , :
10	instantiation	16, 17	⊢
	:
11	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
12	instantiation	102, 18, 19	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_nonzero_closure
14	instantiation	20, 21, 22	,  ⊢
	:
15	instantiation	102, 27, 23	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
17	instantiation	102, 27, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
19	instantiation	102, 25, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
21	instantiation	102, 27, 28	,  ⊢
	: , : , :
22	instantiation	29, 30	,  ⊢
	: , :
23	instantiation	102, 40, 31	⊢
	: , : , :
24	instantiation	102, 40, 32	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
26	instantiation	102, 33, 34	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
28	instantiation	35, 36, 37	,  ⊢
	: , :
29	theorem		⊢
	proveit.numbers.addition.subtraction.nonzero_difference_if_different
30	instantiation	38, 39	,  ⊢
	: , :
31	instantiation	102, 47, 101	⊢
	: , : , :
32	instantiation	102, 47, 91	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
34	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
35	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
36	instantiation	102, 40, 41	,  ⊢
	: , : , :
37	instantiation	42, 43	⊢
	:
38	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
39	instantiation	44, 45, 55, 46	,  ⊢
	: , :
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
41	instantiation	102, 47, 55	,  ⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.negation.real_closure
43	instantiation	48, 49, 50	⊢
	: , :
44	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_not_eq_nonzeroInt
45	instantiation	51, 52, 94, 53	⊢
	: , : , : , : , :
46	instantiation	54, 55, 56, 57	,  ⊢
	: , :
47	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
48	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
49	instantiation	58, 59, 60	⊢
	: , : , :
50	instantiation	61, 62	⊢
	:
51	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
52	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
53	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
54	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_int
55	instantiation	102, 63, 72	,  ⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
57	instantiation	64, 65, 66	,  ⊢
	: , : , :
58	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
59	instantiation	67, 68	⊢
	: , :
60	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
61	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
62	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
63	instantiation	89, 70, 71	⊢
	: , :
64	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
65	instantiation	69, 70, 71, 72	,  ⊢
	: , : , :
66	instantiation	73, 74	⊢
	:
67	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
68	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
69	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
70	instantiation	95, 75, 91	⊢
	: , :
71	instantiation	100, 76	⊢
	:
72	assumption		⊢
73	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
74	instantiation	77, 78	⊢
	:
75	instantiation	100, 96	⊢
	:
76	instantiation	95, 83, 91	⊢
	: , :
77	theorem		⊢
	proveit.numbers.negation.int_neg_closure
78	instantiation	79, 80, 81	⊢
	: , :
79	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
80	instantiation	82, 83, 84	⊢
	:
81	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
82	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
83	instantiation	102, 85, 93	⊢
	: , : , :
84	instantiation	86, 87, 88	⊢
	: , : , :
85	instantiation	89, 91, 92	⊢
	: , :
86	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
87	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
88	instantiation	90, 91, 92, 93	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
90	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
91	instantiation	102, 103, 94	⊢
	: , : , :
92	instantiation	95, 96, 97	⊢
	: , :
93	assumption		⊢
94	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
95	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
96	instantiation	102, 98, 99	⊢
	: , : , :
97	instantiation	100, 101	⊢
	:
98	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
99	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
100	theorem		⊢
	proveit.numbers.negation.int_closure
101	instantiation	102, 103, 104	⊢
	: , : , :
102	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
103	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
104	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements