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	31, 7, 4	⊢
	: , : , :
3	instantiation	5, 6	,  ⊢
	:
4	instantiation	31, 9, 17	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.negation.real_closure
6	instantiation	31, 7, 8	,  ⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
8	instantiation	31, 9, 10	,  ⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
10	instantiation	31, 11, 12	,  ⊢
	: , : , :
11	instantiation	20, 13, 14	⊢
	: , :
12	assumption		⊢
13	instantiation	24, 15, 21	⊢
	: , :
14	instantiation	29, 16	⊢
	:
15	instantiation	29, 25	⊢
	:
16	instantiation	24, 17, 21	⊢
	: , :
17	instantiation	31, 18, 19	⊢
	: , : , :
18	instantiation	20, 21, 22	⊢
	: , :
19	assumption		⊢
20	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
21	instantiation	31, 32, 23	⊢
	: , : , :
22	instantiation	24, 25, 26	⊢
	: , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
24	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
25	instantiation	31, 27, 28	⊢
	: , : , :
26	instantiation	29, 30	⊢
	:
27	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
28	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
29	theorem		⊢
	proveit.numbers.negation.int_closure
30	instantiation	31, 32, 33	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat2