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.exponentiation.sqrd_pos_closure
2	instantiation	48, 4, 5	,  ⊢
	: , : , :
3	instantiation	6, 10, 7, 8	,  ⊢
	: , :
4	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
5	instantiation	48, 9, 10	,  ⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_int
7	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
8	instantiation	11, 12, 13	,  ⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
10	instantiation	48, 14, 16	,  ⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
12	instantiation	15, 19, 20, 16	,  ⊢
	: , : , :
13	instantiation	17, 18	⊢
	:
14	instantiation	35, 19, 20	⊢
	: , :
15	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
16	assumption		⊢
17	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
18	instantiation	21, 22	⊢
	:
19	instantiation	41, 23, 37	⊢
	: , :
20	instantiation	46, 24	⊢
	:
21	theorem		⊢
	proveit.numbers.negation.int_neg_closure
22	instantiation	25, 26, 27	⊢
	: , :
23	instantiation	46, 42	⊢
	:
24	instantiation	41, 29, 37	⊢
	: , :
25	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
26	instantiation	28, 29, 30	⊢
	:
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
28	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
29	instantiation	48, 31, 39	⊢
	: , : , :
30	instantiation	32, 33, 34	⊢
	: , : , :
31	instantiation	35, 37, 38	⊢
	: , :
32	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
33	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
34	instantiation	36, 37, 38, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
36	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
37	instantiation	48, 49, 40	⊢
	: , : , :
38	instantiation	41, 42, 43	⊢
	: , :
39	assumption		⊢
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
41	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
42	instantiation	48, 44, 45	⊢
	: , : , :
43	instantiation	46, 47	⊢
	:
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
45	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
46	theorem		⊢
	proveit.numbers.negation.int_closure
47	instantiation	48, 49, 50	⊢
	: , : , :
48	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat2