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	reference	51	⊢
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
3	instantiation	4, 5, 6	,  ⊢
	:
4	theorem		⊢
	proveit.numbers.exponentiation.sqrd_pos_closure
5	instantiation	51, 7, 8	,  ⊢
	: , : , :
6	instantiation	9, 13, 10, 11	,  ⊢
	: , :
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
8	instantiation	51, 12, 13	,  ⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_int
10	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
11	instantiation	14, 15, 16	,  ⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
13	instantiation	51, 17, 19	,  ⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
15	instantiation	18, 22, 23, 19	,  ⊢
	: , : , :
16	instantiation	20, 21	⊢
	:
17	instantiation	38, 22, 23	⊢
	: , :
18	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
19	assumption		⊢
20	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
21	instantiation	24, 25	⊢
	:
22	instantiation	44, 26, 40	⊢
	: , :
23	instantiation	49, 27	⊢
	:
24	theorem		⊢
	proveit.numbers.negation.int_neg_closure
25	instantiation	28, 29, 30	⊢
	: , :
26	instantiation	49, 45	⊢
	:
27	instantiation	44, 32, 40	⊢
	: , :
28	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
29	instantiation	31, 32, 33	⊢
	:
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
31	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
32	instantiation	51, 34, 42	⊢
	: , : , :
33	instantiation	35, 36, 37	⊢
	: , : , :
34	instantiation	38, 40, 41	⊢
	: , :
35	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
36	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
37	instantiation	39, 40, 41, 42	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
39	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
40	instantiation	51, 52, 43	⊢
	: , : , :
41	instantiation	44, 45, 46	⊢
	: , :
42	assumption		⊢
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
44	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
45	instantiation	51, 47, 48	⊢
	: , : , :
46	instantiation	49, 50	⊢
	:
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
48	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
49	theorem		⊢
	proveit.numbers.negation.int_closure
50	instantiation	51, 52, 53	⊢
	: , : , :
51	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
52	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
53	theorem		⊢
	proveit.numbers.numerals.decimals.nat2