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	generalization	1	⊢
1	instantiation	2, 3, 4	,  ⊢
	:
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
3	instantiation	5, 11, 12, 13	,  ⊢
	: , : , :
4	instantiation	22, 6, 7	,  ⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_cc__is__real
6	instantiation	8, 9	⊢
	: , :
7	instantiation	10, 11, 12, 13	,  ⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.addition.subtraction.pos_difference
9	instantiation	14, 38, 15, 16, 17, 18*	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_cc_lower_bound
11	instantiation	60, 42, 19	⊢
	: , : , :
12	instantiation	60, 42, 20	⊢
	: , : , :
13	assumption		⊢
14	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
16	instantiation	60, 42, 21	⊢
	: , : , :
17	instantiation	22, 23, 24	⊢
	: , : , :
18	instantiation	25, 26, 27	⊢
	: , : , :
19	instantiation	60, 48, 28	⊢
	: , : , :
20	instantiation	60, 48, 29	⊢
	: , : , :
21	instantiation	60, 48, 39	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
23	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
24	instantiation	30, 50, 51, 45	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.equality.sub_right_side_into
26	instantiation	31, 33	⊢
	:
27	instantiation	32, 33, 34	⊢
	: , :
28	instantiation	53, 35, 36	⊢
	: , :
29	instantiation	53, 54, 36	⊢
	: , :
30	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
31	theorem		⊢
	proveit.numbers.addition.elim_zero_right
32	theorem		⊢
	proveit.numbers.addition.commutation
33	instantiation	60, 37, 38	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
35	instantiation	53, 39, 50	⊢
	: , :
36	instantiation	60, 40, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
38	instantiation	60, 42, 43	⊢
	: , : , :
39	instantiation	60, 44, 45	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
41	instantiation	46, 47	⊢
	:
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
43	instantiation	60, 48, 50	⊢
	: , : , :
44	instantiation	49, 50, 51	⊢
	: , :
45	assumption		⊢
46	theorem		⊢
	proveit.numbers.negation.int_neg_closure
47	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
48	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
49	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
50	instantiation	60, 61, 52	⊢
	: , : , :
51	instantiation	53, 54, 55	⊢
	: , :
52	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
53	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
54	instantiation	60, 56, 57	⊢
	: , : , :
55	instantiation	58, 59	⊢
	:
56	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
57	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
58	theorem		⊢
	proveit.numbers.negation.int_closure
59	instantiation	60, 61, 62	⊢
	: , : , :
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