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	modus ponens	1, 2	⊢
1	instantiation	3	⊢
	: , : , :
2	generalization	4	⊢
3	theorem		⊢
	proveit.numbers.summation.summation_real_closure
4	instantiation	5, 6, 7, 8	,  ⊢
	: , :
5	theorem		⊢
	proveit.numbers.division.div_real_closure
6	instantiation	62, 18, 9	⊢
	: , : , :
7	instantiation	10, 16, 64	,  ⊢
	: , :
8	instantiation	11, 12	,  ⊢
	:
9	instantiation	62, 23, 51	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
12	instantiation	62, 13, 14	,  ⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
14	instantiation	15, 16, 17	,  ⊢
	:
15	theorem		⊢
	proveit.numbers.exponentiation.sqrd_pos_closure
16	instantiation	62, 18, 19	,  ⊢
	: , : , :
17	instantiation	20, 24, 21, 22	,  ⊢
	: , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
19	instantiation	62, 23, 24	,  ⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_int
21	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
22	instantiation	25, 26, 27	,  ⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	62, 28, 30	,  ⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
26	instantiation	29, 33, 34, 30	,  ⊢
	: , : , :
27	instantiation	31, 32	⊢
	:
28	instantiation	49, 33, 34	⊢
	: , :
29	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
32	instantiation	35, 36	⊢
	:
33	instantiation	55, 37, 51	⊢
	: , :
34	instantiation	60, 38	⊢
	:
35	theorem		⊢
	proveit.numbers.negation.int_neg_closure
36	instantiation	39, 40, 41	⊢
	: , :
37	instantiation	60, 56	⊢
	:
38	instantiation	55, 43, 51	⊢
	: , :
39	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
40	instantiation	42, 43, 44	⊢
	:
41	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
42	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
43	instantiation	62, 45, 53	⊢
	: , : , :
44	instantiation	46, 47, 48	⊢
	: , : , :
45	instantiation	49, 51, 52	⊢
	: , :
46	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
47	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
48	instantiation	50, 51, 52, 53	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
50	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
51	instantiation	62, 63, 54	⊢
	: , : , :
52	instantiation	55, 56, 57	⊢
	: , :
53	assumption		⊢
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
55	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
56	instantiation	62, 58, 59	⊢
	: , : , :
57	instantiation	60, 61	⊢
	:
58	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
59	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
60	theorem		⊢
	proveit.numbers.negation.int_closure
61	instantiation	62, 63, 64	⊢
	: , : , :
62	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
63	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
64	theorem		⊢
	proveit.numbers.numerals.decimals.nat2