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