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