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	axiom		⊢
	proveit.logic.equality.substitution
2	modus ponens	3, 4	⊢
3	instantiation	5, 83	⊢
	: , : , : , : , : , : , :
4	generalization	6	⊢
5	theorem		⊢
	proveit.core_expr_types.lambda_maps.general_lambda_substitution
6	instantiation	7, 8	,  ⊢
	: , :
7	theorem		⊢
	proveit.logic.equality.equals_reversal
8	instantiation	9, 19, 10, 11, 12*	,  ⊢
	: , : , : , :
9	theorem		⊢
	proveit.numbers.division.prod_of_fracs
10	instantiation	104, 13, 14	⊢
	: , : , :
11	instantiation	15, 16, 17	,  ⊢
	: , :
12	instantiation	18, 19	⊢
	:
13	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
14	instantiation	104, 20, 21	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_nonzero_closure
16	instantiation	22, 23, 24	,  ⊢
	:
17	instantiation	104, 29, 25	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
19	instantiation	104, 29, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
21	instantiation	104, 27, 28	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
23	instantiation	104, 29, 30	,  ⊢
	: , : , :
24	instantiation	31, 32	,  ⊢
	: , :
25	instantiation	104, 42, 33	⊢
	: , : , :
26	instantiation	104, 42, 34	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
28	instantiation	104, 35, 36	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	37, 38, 39	,  ⊢
	: , :
31	theorem		⊢
	proveit.numbers.addition.subtraction.nonzero_difference_if_different
32	instantiation	40, 41	,  ⊢
	: , :
33	instantiation	104, 49, 103	⊢
	: , : , :
34	instantiation	104, 49, 93	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
37	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
38	instantiation	104, 42, 43	,  ⊢
	: , : , :
39	instantiation	44, 45	⊢
	:
40	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
41	instantiation	46, 47, 57, 48	,  ⊢
	: , :
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
43	instantiation	104, 49, 57	,  ⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.negation.real_closure
45	instantiation	50, 51, 52	⊢
	: , :
46	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_not_eq_nonzeroInt
47	instantiation	53, 54, 96, 55	⊢
	: , : , : , : , :
48	instantiation	56, 57, 58, 59	,  ⊢
	: , :
49	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
50	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
51	instantiation	60, 61, 62	⊢
	: , : , :
52	instantiation	63, 64	⊢
	:
53	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
54	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
55	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
56	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_int
57	instantiation	104, 65, 74	,  ⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
59	instantiation	66, 67, 68	,  ⊢
	: , : , :
60	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
61	instantiation	69, 70	⊢
	: , :
62	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
63	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
64	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
65	instantiation	91, 72, 73	⊢
	: , :
66	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
67	instantiation	71, 72, 73, 74	,  ⊢
	: , : , :
68	instantiation	75, 76	⊢
	:
69	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
70	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
71	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
72	instantiation	97, 77, 93	⊢
	: , :
73	instantiation	102, 78	⊢
	:
74	assumption		⊢
75	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
76	instantiation	79, 80	⊢
	:
77	instantiation	102, 98	⊢
	:
78	instantiation	97, 85, 93	⊢
	: , :
79	theorem		⊢
	proveit.numbers.negation.int_neg_closure
80	instantiation	81, 82, 83	⊢
	: , :
81	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
82	instantiation	84, 85, 86	⊢
	:
83	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
84	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
85	instantiation	104, 87, 95	⊢
	: , : , :
86	instantiation	88, 89, 90	⊢
	: , : , :
87	instantiation	91, 93, 94	⊢
	: , :
88	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
89	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
90	instantiation	92, 93, 94, 95	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
92	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
93	instantiation	104, 105, 96	⊢
	: , : , :
94	instantiation	97, 98, 99	⊢
	: , :
95	assumption		⊢
96	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
97	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
98	instantiation	104, 100, 101	⊢
	: , : , :
99	instantiation	102, 103	⊢
	:
100	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
101	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
102	theorem		⊢
	proveit.numbers.negation.int_closure
103	instantiation	104, 105, 106	⊢
	: , : , :
104	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
105	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
106	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements