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	,  ⊢
	:
1	theorem		⊢
	proveit.numbers.negation.real_closure
2	instantiation	27, 3, 4	,  ⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
4	instantiation	27, 5, 6	,  ⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
6	instantiation	27, 7, 8	,  ⊢
	: , : , :
7	instantiation	16, 9, 10	⊢
	: , :
8	assumption		⊢
9	instantiation	20, 11, 17	⊢
	: , :
10	instantiation	25, 12	⊢
	:
11	instantiation	25, 21	⊢
	:
12	instantiation	20, 13, 17	⊢
	: , :
13	instantiation	27, 14, 15	⊢
	: , : , :
14	instantiation	16, 17, 18	⊢
	: , :
15	assumption		⊢
16	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
17	instantiation	27, 28, 19	⊢
	: , : , :
18	instantiation	20, 21, 22	⊢
	: , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
20	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
21	instantiation	27, 23, 24	⊢
	: , : , :
22	instantiation	25, 26	⊢
	:
23	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
24	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
25	theorem		⊢
	proveit.numbers.negation.int_closure
26	instantiation	27, 28, 29	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat2