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.multiplication.elim_one_left
2	instantiation	65, 3, 4	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
4	modus ponens	5, 6	⊢
5	instantiation	7	⊢
	: , : , :
6	generalization	8	⊢
7	theorem		⊢
	proveit.numbers.summation.summation_real_closure
8	instantiation	9, 10, 11, 12	,  ⊢
	: , :
9	theorem		⊢
	proveit.numbers.division.div_real_closure
10	instantiation	65, 19, 13	⊢
	: , : , :
11	instantiation	14, 15, 67	,  ⊢
	: , :
12	instantiation	16, 17, 18	,  ⊢
	: , :
13	instantiation	65, 24, 54	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
15	instantiation	65, 19, 20	,  ⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
17	instantiation	65, 22, 21	,  ⊢
	: , : , :
18	instantiation	65, 22, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
20	instantiation	65, 24, 28	,  ⊢
	: , : , :
21	instantiation	65, 26, 25	,  ⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
23	instantiation	65, 26, 27	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	instantiation	41, 28, 29	,  ⊢
	:
26	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
28	instantiation	65, 30, 37	,  ⊢
	: , : , :
29	instantiation	47, 31, 32	,  ⊢
	: , : , :
30	instantiation	52, 35, 36	⊢
	: , :
31	instantiation	33, 34	⊢
	:
32	instantiation	53, 35, 36, 37	,  ⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
34	instantiation	38, 39, 51	⊢
	: , :
35	instantiation	58, 42, 54	⊢
	: , :
36	instantiation	58, 59, 40	⊢
	: , :
37	assumption		⊢
38	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
39	instantiation	41, 42, 43	⊢
	:
40	instantiation	65, 44, 45	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
42	instantiation	65, 46, 56	⊢
	: , : , :
43	instantiation	47, 48, 49	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
45	instantiation	50, 51	⊢
	:
46	instantiation	52, 54, 55	⊢
	: , :
47	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
48	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
49	instantiation	53, 54, 55, 56	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.negation.int_neg_closure
51	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
52	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
53	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
54	instantiation	65, 66, 57	⊢
	: , : , :
55	instantiation	58, 59, 60	⊢
	: , :
56	assumption		⊢
57	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
58	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
59	instantiation	65, 61, 62	⊢
	: , : , :
60	instantiation	63, 64	⊢
	:
61	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
62	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
63	theorem		⊢
	proveit.numbers.negation.int_closure
64	instantiation	65, 66, 67	⊢
	: , : , :
65	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
66	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
67	theorem		⊢
	proveit.numbers.numerals.decimals.nat2