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	,  ⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_cc_lower_bound
2	instantiation	31, 6, 5	⊢
	: , : , :
3	instantiation	31, 6, 7	⊢
	: , : , :
4	assumption		⊢
5	instantiation	31, 9, 8	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
7	instantiation	31, 9, 10	⊢
	: , : , :
8	instantiation	24, 11, 12	⊢
	: , :
9	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
10	instantiation	24, 25, 12	⊢
	: , :
11	instantiation	24, 13, 21	⊢
	: , :
12	instantiation	31, 14, 15	⊢
	: , : , :
13	instantiation	31, 16, 17	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
15	instantiation	18, 19	⊢
	:
16	instantiation	20, 21, 22	⊢
	: , :
17	assumption		⊢
18	theorem		⊢
	proveit.numbers.negation.int_neg_closure
19	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
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