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	48, 12, 4	⊢
	: , : , :
3	instantiation	5, 6, 50	,  ⊢
	: , :
4	instantiation	48, 16, 7	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
6	instantiation	8, 9, 10	,  ⊢
	: , :
7	instantiation	48, 49, 11	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
9	instantiation	48, 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	48, 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	48, 21, 22	,  ⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
19	instantiation	23, 24, 25	⊢
	: , : , :
20	instantiation	26, 27	⊢
	:
21	instantiation	37, 28, 29	⊢
	: , :
22	assumption		⊢
23	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
24	instantiation	30, 31	⊢
	: , :
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	41, 32, 38	⊢
	: , :
29	instantiation	46, 33	⊢
	:
30	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
32	instantiation	46, 42	⊢
	:
33	instantiation	41, 34, 38	⊢
	: , :
34	instantiation	48, 35, 36	⊢
	: , : , :
35	instantiation	37, 38, 39	⊢
	: , :
36	assumption		⊢
37	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
38	instantiation	48, 49, 40	⊢
	: , : , :
39	instantiation	41, 42, 43	⊢
	: , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
41	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
42	instantiation	48, 44, 45	⊢
	: , : , :
43	instantiation	46, 47	⊢
	:
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
45	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
46	theorem		⊢
	proveit.numbers.negation.int_closure
47	instantiation	48, 49, 50	⊢
	: , : , :
48	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat2