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