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	reference	18	⊢
2	instantiation	45, 12, 4	⊢
	: , : , :
3	instantiation	5, 6, 47	,  ⊢
	: , :
4	instantiation	45, 16, 7	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
6	instantiation	8, 9, 10	,  ⊢
	: , :
7	instantiation	45, 46, 11	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
9	instantiation	45, 12, 13	,  ⊢
	: , : , :
10	instantiation	14, 15	⊢
	:
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
13	instantiation	45, 16, 17	,  ⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.negation.real_closure
15	instantiation	18, 19, 20	⊢
	: , :
16	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
17	instantiation	45, 21, 22	,  ⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
19	instantiation	23, 24, 25	⊢
	: , : , :
20	instantiation	26, 27	⊢
	:
21	instantiation	34, 28, 39	⊢
	: , :
22	assumption		⊢
23	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
24	instantiation	29, 30	⊢
	: , :
25	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
26	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
27	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
28	instantiation	38, 31, 35	⊢
	: , :
29	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
31	instantiation	45, 32, 33	⊢
	: , : , :
32	instantiation	34, 35, 36	⊢
	: , :
33	assumption		⊢
34	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
35	instantiation	45, 46, 37	⊢
	: , : , :
36	instantiation	38, 39, 40	⊢
	: , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
38	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
39	instantiation	45, 41, 42	⊢
	: , : , :
40	instantiation	43, 44	⊢
	:
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
42	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
43	theorem		⊢
	proveit.numbers.negation.int_closure
44	instantiation	45, 46, 47	⊢
	: , : , :
45	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat2