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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 5, 6, 9, 7*	⊢
	: , : , :
3	instantiation	8, 9	⊢
	:
4	theorem		⊢
	proveit.numbers.division.frac_cancel_left
5	instantiation	80, 11, 10	⊢
	: , : , :
6	instantiation	80, 11, 12	⊢
	: , : , :
7	instantiation	13, 14	⊢
	:
8	theorem		⊢
	proveit.numbers.division.frac_one_denom
9	instantiation	80, 20, 15	⊢
	: , : , :
10	instantiation	80, 16, 17	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
12	instantiation	80, 18, 19	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
14	instantiation	80, 20, 39	⊢
	: , : , :
15	instantiation	21, 22, 53, 23	⊢
	: , :
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
17	instantiation	24, 25, 26	⊢
	: , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
19	instantiation	80, 57, 27	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	theorem		⊢
	proveit.numbers.modular.mod_abs_real_closure
22	instantiation	28, 29, 30	⊢
	: , :
23	instantiation	31, 36	⊢
	:
24	theorem		⊢
	proveit.numbers.exponentiation.exp_real_pos_closure
25	instantiation	80, 32, 33	⊢
	: , : , :
26	instantiation	34, 35, 79	⊢
	: , : , :
27	instantiation	80, 64, 36	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
29	instantiation	37, 38, 39, 40	⊢
	: , :
30	instantiation	41, 42	⊢
	:
31	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
33	instantiation	80, 43, 63	⊢
	: , : , :
34	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
35	instantiation	44, 45	⊢
	: , :
36	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
37	theorem		⊢
	proveit.numbers.division.div_real_closure
38	instantiation	80, 59, 46	⊢
	: , : , :
39	instantiation	80, 59, 47	⊢
	: , : , :
40	instantiation	48, 49, 50	⊢
	: , :
41	theorem		⊢
	proveit.numbers.negation.real_closure
42	instantiation	51, 52, 53, 54	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
44	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
46	instantiation	80, 65, 55	⊢
	: , : , :
47	instantiation	80, 65, 70	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
49	instantiation	80, 57, 56	⊢
	: , : , :
50	instantiation	80, 57, 58	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
53	instantiation	80, 59, 60	⊢
	: , : , :
54	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
55	instantiation	80, 61, 62	⊢
	: , : , :
56	instantiation	80, 64, 63	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
58	instantiation	80, 64, 79	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
60	instantiation	80, 65, 76	⊢
	: , : , :
61	instantiation	66, 67, 68	⊢
	: , :
62	assumption		⊢
63	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
64	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
65	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
66	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
67	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
68	instantiation	69, 70, 71	⊢
	: , :
69	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
70	instantiation	72, 73, 74	⊢
	: , :
71	instantiation	75, 76	⊢
	:
72	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
73	instantiation	80, 81, 77	⊢
	: , : , :
74	instantiation	80, 78, 79	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.negation.int_closure
76	instantiation	80, 81, 82	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
78	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
79	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
80	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
81	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
82	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements