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.multiplication.mult_real_closure_bin
2	instantiation	71, 25, 4	⊢
	: , : , :
3	modus ponens	5, 6	⊢
4	instantiation	71, 7, 8	⊢
	: , : , :
5	instantiation	9	⊢
	: , : , :
6	generalization	10	⊢
7	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
8	instantiation	11, 12, 13	⊢
	: , :
9	theorem		⊢
	proveit.numbers.summation.summation_real_closure
10	instantiation	14, 15, 16, 17	,  ⊢
	: , :
11	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
12	instantiation	71, 18, 57	⊢
	: , : , :
13	instantiation	71, 18, 33	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.division.div_real_closure
15	instantiation	71, 25, 19	⊢
	: , : , :
16	instantiation	20, 21, 73	,  ⊢
	: , :
17	instantiation	22, 23, 24	,  ⊢
	: , :
18	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
19	instantiation	71, 30, 60	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
21	instantiation	71, 25, 26	,  ⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
23	instantiation	71, 28, 27	,  ⊢
	: , : , :
24	instantiation	71, 28, 29	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
26	instantiation	71, 30, 34	,  ⊢
	: , : , :
27	instantiation	71, 32, 31	,  ⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
29	instantiation	71, 32, 33	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
31	instantiation	47, 34, 35	,  ⊢
	:
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
34	instantiation	71, 36, 43	,  ⊢
	: , : , :
35	instantiation	53, 37, 38	,  ⊢
	: , : , :
36	instantiation	58, 41, 42	⊢
	: , :
37	instantiation	39, 40	⊢
	:
38	instantiation	59, 41, 42, 43	,  ⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
40	instantiation	44, 45, 57	⊢
	: , :
41	instantiation	64, 48, 60	⊢
	: , :
42	instantiation	64, 65, 46	⊢
	: , :
43	assumption		⊢
44	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
45	instantiation	47, 48, 49	⊢
	:
46	instantiation	71, 50, 51	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
48	instantiation	71, 52, 62	⊢
	: , : , :
49	instantiation	53, 54, 55	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
51	instantiation	56, 57	⊢
	:
52	instantiation	58, 60, 61	⊢
	: , :
53	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
54	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
55	instantiation	59, 60, 61, 62	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.negation.int_neg_closure
57	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
58	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
59	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
60	instantiation	71, 72, 63	⊢
	: , : , :
61	instantiation	64, 65, 66	⊢
	: , :
62	assumption		⊢
63	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
64	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
65	instantiation	71, 67, 68	⊢
	: , : , :
66	instantiation	69, 70	⊢
	:
67	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
68	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
69	theorem		⊢
	proveit.numbers.negation.int_closure
70	instantiation	71, 72, 73	⊢
	: , : , :
71	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
72	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
73	theorem		⊢
	proveit.numbers.numerals.decimals.nat2