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.division.weak_div_from_numer_bound__pos_denom
2	instantiation	7, 8, 14	⊢
	: , : , :
3	instantiation	30, 10, 9	⊢
	: , : , :
4	instantiation	30, 10, 11	⊢
	: , : , :
5	instantiation	12, 22, 27, 20	⊢
	: , : , :
6	instantiation	13, 14	⊢
	:
7	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
8	instantiation	15, 16	⊢
	: , :
9	instantiation	30, 17, 22	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
11	instantiation	30, 17, 18	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
13	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
14	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
15	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
17	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
18	instantiation	30, 19, 20	⊢
	: , : , :
19	instantiation	21, 22, 27	⊢
	: , :
20	assumption		⊢
21	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
22	instantiation	23, 24, 25	⊢
	: , :
23	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
24	instantiation	26, 27	⊢
	:
25	instantiation	30, 28, 29	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.negation.int_closure
27	instantiation	30, 31, 32	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
30	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
32	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos