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	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.addition.weak_bound_via_right_term_bound
2	instantiation	17, 6, 7, 8	⊢
	: , :
3	instantiation	9, 12	⊢
	:
4	instantiation	9, 11	⊢
	:
5	instantiation	10, 11, 12, 13	⊢
	: , :
6	instantiation	51, 30, 14	⊢
	: , : , :
7	instantiation	51, 30, 15	⊢
	: , : , :
8	instantiation	26, 16	⊢
	:
9	theorem		⊢
	proveit.numbers.negation.real_closure
10	theorem		⊢
	proveit.numbers.negation.negated_weak_bound
11	instantiation	17, 21, 20, 18	⊢
	: , :
12	instantiation	17, 22, 20, 18	⊢
	: , :
13	instantiation	19, 20, 21, 22, 23, 24	⊢
	: , : , :
14	instantiation	51, 38, 46	⊢
	: , : , :
15	instantiation	51, 38, 25	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
17	theorem		⊢
	proveit.numbers.division.div_real_closure
18	instantiation	26, 34	⊢
	:
19	theorem		⊢
	proveit.numbers.division.weak_div_from_numer_bound__pos_denom
20	instantiation	27, 28, 34	⊢
	: , : , :
21	instantiation	51, 30, 29	⊢
	: , : , :
22	instantiation	51, 30, 31	⊢
	: , : , :
23	instantiation	32, 43, 48, 41	⊢
	: , : , :
24	instantiation	33, 34	⊢
	:
25	instantiation	51, 49, 35	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
27	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
28	instantiation	36, 37	⊢
	: , :
29	instantiation	51, 38, 43	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	51, 38, 39	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
33	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
34	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
36	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	51, 40, 41	⊢
	: , : , :
40	instantiation	42, 43, 48	⊢
	: , :
41	assumption		⊢
42	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
43	instantiation	44, 45, 46	⊢
	: , :
44	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
45	instantiation	47, 48	⊢
	:
46	instantiation	51, 49, 50	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.negation.int_closure
48	instantiation	51, 52, 53	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
51	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
52	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
53	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos