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	4	⊢
2	instantiation	4, 5, 6	⊢
	: , : , :
3	instantiation	7, 8, 9, 10	⊢
	: , : , : , :
4	theorem		⊢
	proveit.logic.equality.sub_right_side_into
5	instantiation	11, 22, 12, 13	⊢
	: , : , : , : , :
6	instantiation	27, 14, 15	⊢
	: , : , :
7	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
8	instantiation	35, 16	⊢
	: , : , :
9	instantiation	35, 16	⊢
	: , : , :
10	instantiation	38, 22	⊢
	:
11	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_numer_left
12	instantiation	54, 18, 17	⊢
	: , : , :
13	instantiation	54, 18, 19	⊢
	: , : , :
14	instantiation	35, 20	⊢
	: , : , :
15	instantiation	35, 21	⊢
	: , : , :
16	instantiation	37, 22	⊢
	:
17	instantiation	54, 23, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
19	instantiation	54, 25, 26	⊢
	: , : , :
20	instantiation	27, 28, 29	⊢
	: , : , :
21	instantiation	35, 30	⊢
	: , : , :
22	instantiation	54, 44, 48	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
24	instantiation	31, 45, 32	⊢
	:
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
26	instantiation	54, 33, 34	⊢
	: , : , :
27	axiom		⊢
	proveit.logic.equality.equals_transitivity
28	instantiation	35, 36	⊢
	: , : , :
29	instantiation	37, 43	⊢
	:
30	instantiation	38, 43	⊢
	:
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
32	instantiation	39, 47, 48, 49	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
34	instantiation	54, 40, 41	⊢
	: , : , :
35	axiom		⊢
	proveit.logic.equality.substitution
36	instantiation	42, 43	⊢
	:
37	theorem		⊢
	proveit.numbers.division.frac_one_denom
38	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
41	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
42	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
43	instantiation	54, 44, 45	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
45	instantiation	46, 47, 48, 49	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
48	instantiation	54, 50, 51	⊢
	: , : , :
49	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
51	instantiation	54, 52, 53	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
53	instantiation	54, 55, 56	⊢
	: , : , :
54	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
55	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat1