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