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.sets.inclusion.unfold_subset_eq
2	instantiation	4, 5	⊢
	: , :
3	instantiation	6, 7	, ,  ⊢
	:
4	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
5	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
6	theorem		⊢
	proveit.numbers.negation.nat_pos_closure
7	instantiation	8, 9, 10	, ,  ⊢
	:
8	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_is_int_neg
9	instantiation	51, 24, 41	,  ⊢
	: , :
10	instantiation	11, 29, 12, 13, 14, 15*	, ,  ⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
12	instantiation	58, 35, 16	⊢
	: , : , :
13	instantiation	17, 29	⊢
	:
14	instantiation	18, 19, 20	,  ⊢
	: , : , :
15	instantiation	21, 22, 23	⊢
	: , :
16	instantiation	58, 40, 24	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.negation.real_closure
18	theorem		⊢
	proveit.logic.equality.sub_right_side_into
19	instantiation	25, 49	⊢
	: , :
20	instantiation	26, 44, 27*	,  ⊢
	:
21	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_reverse
22	instantiation	58, 28, 29	⊢
	: , : , :
23	instantiation	30	⊢
	:
24	instantiation	58, 31, 32	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.booleans.conjunction.right_from_and
26	theorem		⊢
	proveit.physics.quantum.QPE._modabs_in_full_domain_simp
27	instantiation	33, 34	⊢
	:
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
29	instantiation	58, 35, 36	⊢
	: , : , :
30	axiom		⊢
	proveit.logic.equality.equals_reflexivity
31	instantiation	46, 53, 37	⊢
	: , :
32	assumption		⊢
33	theorem		⊢
	proveit.numbers.absolute_value.abs_neg_elim
34	instantiation	38, 39	⊢
	: , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	58, 40, 41	⊢
	: , : , :
37	instantiation	51, 55, 42	⊢
	: , :
38	theorem		⊢
	proveit.numbers.ordering.relax_less
39	assumption		⊢
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
41	instantiation	58, 43, 44	⊢
	: , : , :
42	instantiation	54, 45	⊢
	:
43	instantiation	46, 47, 55	⊢
	: , :
44	instantiation	48, 49	⊢
	: , :
45	instantiation	58, 56, 50	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
47	instantiation	51, 52, 53	⊢
	: , :
48	theorem		⊢
	proveit.logic.booleans.conjunction.left_from_and
49	assumption		⊢
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
51	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
52	instantiation	54, 55	⊢
	:
53	instantiation	58, 56, 57	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.negation.int_closure
55	instantiation	58, 59, 60	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
57	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
58	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
59	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
60	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements