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