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.number_sets.real_numbers.nonzero_if_in_real_nonzero
2	instantiation	52, 3, 4	,  ⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
4	instantiation	5, 6, 7	,  ⊢
	:
5	theorem		⊢
	proveit.numbers.exponentiation.sqrd_pos_closure
6	instantiation	52, 8, 9	,  ⊢
	: , : , :
7	instantiation	10, 14, 11, 12	,  ⊢
	: , :
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
9	instantiation	52, 13, 14	,  ⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_int
11	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
12	instantiation	15, 16, 17	,  ⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
14	instantiation	52, 18, 20	,  ⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
16	instantiation	19, 23, 24, 20	,  ⊢
	: , : , :
17	instantiation	21, 22	⊢
	:
18	instantiation	39, 23, 24	⊢
	: , :
19	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
20	assumption		⊢
21	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
22	instantiation	25, 26	⊢
	:
23	instantiation	45, 27, 41	⊢
	: , :
24	instantiation	50, 28	⊢
	:
25	theorem		⊢
	proveit.numbers.negation.int_neg_closure
26	instantiation	29, 30, 31	⊢
	: , :
27	instantiation	50, 46	⊢
	:
28	instantiation	45, 33, 41	⊢
	: , :
29	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
30	instantiation	32, 33, 34	⊢
	:
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
32	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
33	instantiation	52, 35, 43	⊢
	: , : , :
34	instantiation	36, 37, 38	⊢
	: , : , :
35	instantiation	39, 41, 42	⊢
	: , :
36	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
37	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
38	instantiation	40, 41, 42, 43	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
40	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
41	instantiation	52, 53, 44	⊢
	: , : , :
42	instantiation	45, 46, 47	⊢
	: , :
43	assumption		⊢
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
45	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
46	instantiation	52, 48, 49	⊢
	: , : , :
47	instantiation	50, 51	⊢
	:
48	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
49	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
50	theorem		⊢
	proveit.numbers.negation.int_closure
51	instantiation	52, 53, 54	⊢
	: , : , :
52	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat2