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	⊢
	: , :
1	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	3, 4, 5	⊢
	: , :
3	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
4	instantiation	56, 16, 6	⊢
	: , : , :
5	instantiation	56, 16, 7	⊢
	: , : , :
6	instantiation	25, 15, 8, 9	⊢
	: , :
7	instantiation	25, 50, 8, 9	⊢
	: , :
8	instantiation	10, 15, 35	⊢
	: , :
9	instantiation	11, 12, 13, 14	⊢
	: , :
10	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
11	theorem		⊢
	proveit.numbers.exponentiation.exp_not_eq_zero
12	instantiation	56, 16, 15	⊢
	: , : , :
13	instantiation	56, 16, 20	⊢
	: , : , :
14	instantiation	17, 18	⊢
	:
15	instantiation	19, 20, 21	⊢
	: , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
18	instantiation	56, 22, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
20	instantiation	56, 52, 24	⊢
	: , : , :
21	instantiation	25, 50, 45, 34	⊢
	: , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
23	instantiation	26, 27, 28	⊢
	: , :
24	instantiation	56, 54, 29	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.division.div_real_closure
26	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
27	instantiation	56, 37, 30	⊢
	: , : , :
28	instantiation	31, 32, 33, 34	⊢
	: , :
29	instantiation	56, 57, 35	⊢
	: , : , :
30	instantiation	56, 42, 36	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
32	instantiation	56, 37, 38	⊢
	: , : , :
33	instantiation	39, 45, 46	⊢
	:
34	instantiation	40, 41	⊢
	: , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
36	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
38	instantiation	56, 42, 43	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
40	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
41	instantiation	44, 49, 45, 46	⊢
	: , :
42	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
43	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
44	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
45	instantiation	47, 49, 50, 51	⊢
	: , : , :
46	instantiation	48, 49, 50, 51	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
49	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
50	instantiation	56, 52, 53	⊢
	: , : , :
51	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
53	instantiation	56, 54, 55	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
55	instantiation	56, 57, 58	⊢
	: , : , :
56	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
57	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
58	theorem		⊢
	proveit.numbers.numerals.decimals.nat1