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_left_side_into
2	instantiation	4, 93, 46, 48, 5, 6*	⊢
	: , : , : , : , : , :
3	instantiation	29, 7	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.multiplication.strong_bound_via_factor_bound
5	instantiation	8, 58, 67, 9, 10, 11*, 12*	⊢
	: , : , :
6	instantiation	13, 93, 14, 15	⊢
	: , : , : , :
7	instantiation	24, 16, 17	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
9	instantiation	91, 77, 18	⊢
	: , : , :
10	instantiation	19, 67, 59, 63, 20, 21	⊢
	: , : , :
11	instantiation	22, 50, 56, 23	⊢
	: , : , :
12	instantiation	24, 25, 26	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
14	instantiation	91, 82, 27	⊢
	: , : , :
15	instantiation	91, 82, 28	⊢
	: , : , :
16	instantiation	29, 30	⊢
	: , : , :
17	instantiation	31, 72	⊢
	:
18	instantiation	91, 84, 32	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.ordering.less_eq_add_right_strong
20	instantiation	33, 67, 63, 34, 35, 36, 37*	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
22	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
23	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
24	axiom		⊢
	proveit.logic.equality.equals_transitivity
25	instantiation	38, 39, 90, 93, 40, 41, 44, 50, 42	⊢
	: , : , : , : , : , :
26	instantiation	43, 50, 44, 45	⊢
	: , : , :
27	instantiation	91, 47, 46	⊢
	: , : , :
28	instantiation	91, 47, 48	⊢
	: , : , :
29	axiom		⊢
	proveit.logic.equality.substitution
30	instantiation	49, 50, 72, 51*	⊢
	: , :
31	theorem		⊢
	proveit.numbers.absolute_value.abs_even
32	instantiation	91, 92, 52	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.exponentiation.exp_monotonicity_large_base_less_eq
34	instantiation	69, 70, 54	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
36	instantiation	53, 54	⊢
	:
37	instantiation	55, 56	⊢
	:
38	theorem		⊢
	proveit.numbers.addition.disassociation
39	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
40	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
41	instantiation	57	⊢
	: , :
42	instantiation	91, 82, 58	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
44	instantiation	91, 82, 59	⊢
	: , : , :
45	instantiation	60	⊢
	:
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
48	instantiation	61, 62	⊢
	:
49	theorem		⊢
	proveit.numbers.multiplication.mult_neg_left
50	instantiation	91, 82, 63	⊢
	: , : , :
51	instantiation	64, 72	⊢
	:
52	instantiation	65, 66, 93	⊢
	: , :
53	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
54	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
55	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
56	instantiation	91, 82, 67	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
58	instantiation	91, 77, 68	⊢
	: , : , :
59	instantiation	69, 70, 76	⊢
	: , : , :
60	axiom		⊢
	proveit.logic.equality.equals_reflexivity
61	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
62	instantiation	71, 72, 73	⊢
	:
63	instantiation	91, 77, 74	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
65	theorem		⊢
	proveit.numbers.addition.add_nat_closure_bin
66	instantiation	91, 75, 76	⊢
	: , : , :
67	instantiation	91, 77, 78	⊢
	: , : , :
68	instantiation	91, 84, 79	⊢
	: , : , :
69	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
70	instantiation	80, 81	⊢
	: , :
71	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
72	instantiation	91, 82, 83	⊢
	: , : , :
73	assumption		⊢
74	instantiation	91, 84, 87	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
76	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
77	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
78	instantiation	91, 84, 85	⊢
	: , : , :
79	instantiation	86, 87	⊢
	:
80	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
81	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
82	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
83	instantiation	88, 89	⊢
	:
84	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
85	instantiation	91, 92, 90	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.negation.int_closure
87	instantiation	91, 92, 93	⊢
	: , : , :
88	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
89	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
90	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
91	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
92	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
93	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements