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	60	⊢
2	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
3	instantiation	4, 5, 62	,  ⊢
	: , :
4	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
5	instantiation	6, 7, 8	,  ⊢
	:
6	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
7	instantiation	50, 9, 10	,  ⊢
	: , :
8	instantiation	11, 12	,  ⊢
	: , :
9	instantiation	60, 13, 28	,  ⊢
	: , : , :
10	instantiation	60, 14, 15	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.ordering.relax_less
12	instantiation	16, 17	,  ⊢
	: , :
13	instantiation	46, 27, 51	⊢
	: , :
14	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
15	instantiation	18, 19	⊢
	:
16	theorem		⊢
	proveit.numbers.addition.subtraction.pos_difference
17	instantiation	30, 20, 21	,  ⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.negation.int_neg_closure
19	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
20	instantiation	22, 45, 23, 24, 25, 26*	⊢
	: , : , :
21	instantiation	37, 27, 51, 28	,  ⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
24	instantiation	60, 48, 29	⊢
	: , : , :
25	instantiation	30, 31, 32	⊢
	: , : , :
26	instantiation	33, 34, 35	⊢
	: , : , :
27	instantiation	50, 36, 54	⊢
	: , :
28	assumption		⊢
29	instantiation	60, 53, 36	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
31	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
32	instantiation	37, 54, 47, 43	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.equality.sub_right_side_into
34	instantiation	38, 40	⊢
	:
35	instantiation	39, 40, 41	⊢
	: , :
36	instantiation	60, 42, 43	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
38	theorem		⊢
	proveit.numbers.addition.elim_zero_right
39	theorem		⊢
	proveit.numbers.addition.commutation
40	instantiation	60, 44, 45	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
42	instantiation	46, 54, 47	⊢
	: , :
43	assumption		⊢
44	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
45	instantiation	60, 48, 49	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
47	instantiation	50, 51, 52	⊢
	: , :
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
49	instantiation	60, 53, 54	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
51	instantiation	60, 55, 56	⊢
	: , : , :
52	instantiation	57, 58	⊢
	:
53	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
54	instantiation	60, 61, 59	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
56	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
57	theorem		⊢
	proveit.numbers.negation.int_closure
58	instantiation	60, 61, 62	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
60	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
61	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
62	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements