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	modus ponens	1, 2	⊢
1	instantiation	3, 68, 69, 4	⊢
	: , : , : , :
2	generalization	5	⊢
3	theorem		⊢
	proveit.logic.booleans.conjunction.conjunction_from_quantification
4	instantiation	6, 7, 27, 55, 8, 9*, 10*	⊢
	: , : , :
5	instantiation	11, 12, 13, 14	,  ⊢
	: , : , : , :
6	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
7	instantiation	80, 65, 15	⊢
	: , : , :
8	instantiation	16, 17	⊢
	: , :
9	instantiation	32, 18, 19	⊢
	: , : , :
10	instantiation	20, 21, 22, 23	⊢
	: , : , : , :
11	theorem		⊢
	proveit.linear_algebra.matrices.exponentiation.unital2pi_eigen_exp_application
12	instantiation	24, 40, 25	,  ⊢
	: , :
13	instantiation	26, 27, 58, 28	⊢
	: , : , :
14	axiom		⊢
	proveit.physics.quantum.QPE._eigen_uu
15	instantiation	80, 72, 68	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.ordering.relax_less
17	instantiation	29, 82	⊢
	:
18	instantiation	39, 79, 40, 41, 42, 43, 30, 44, 49	⊢
	: , : , : , : , : , :
19	instantiation	31, 41, 40, 43, 42, 44, 49	⊢
	: , : , : , :
20	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
21	instantiation	32, 33, 34	⊢
	: , : , :
22	instantiation	56	⊢
	:
23	instantiation	35, 36	⊢
	: , :
24	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
25	instantiation	37, 38	,  ⊢
	:
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
28	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
29	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
31	theorem		⊢
	proveit.numbers.addition.elim_zero_any
32	axiom		⊢
	proveit.logic.equality.equals_transitivity
33	instantiation	39, 79, 40, 41, 42, 43, 46, 44, 49	⊢
	: , : , : , : , : , :
34	instantiation	45, 46, 49, 47	⊢
	: , : , :
35	theorem		⊢
	proveit.logic.equality.equals_reversal
36	instantiation	48, 49	⊢
	:
37	theorem		⊢
	proveit.numbers.negation.nat_closure
38	instantiation	50, 51, 52	,  ⊢
	:
39	theorem		⊢
	proveit.numbers.addition.disassociation
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
41	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
42	instantiation	53	⊢
	: , :
43	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
44	instantiation	80, 57, 54	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
46	instantiation	80, 57, 55	⊢
	: , : , :
47	instantiation	56	⊢
	:
48	theorem		⊢
	proveit.numbers.addition.elim_zero_left
49	instantiation	80, 57, 58	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.integers.nonpos_int_is_int_nonpos
51	instantiation	80, 59, 61	,  ⊢
	: , : , :
52	instantiation	60, 68, 69, 61	,  ⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
54	instantiation	80, 65, 62	⊢
	: , : , :
55	instantiation	63, 64, 82	⊢
	: , : , :
56	axiom		⊢
	proveit.logic.equality.equals_reflexivity
57	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
58	instantiation	80, 65, 66	⊢
	: , : , :
59	instantiation	67, 68, 69	⊢
	: , :
60	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
61	assumption		⊢
62	instantiation	80, 72, 74	⊢
	: , : , :
63	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
64	instantiation	70, 71	⊢
	: , :
65	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
66	instantiation	80, 72, 75	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
68	instantiation	73, 74, 75	⊢
	: , :
69	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
70	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
71	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
72	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
73	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
74	instantiation	76, 77	⊢
	:
75	instantiation	80, 78, 79	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.negation.int_closure
77	instantiation	80, 81, 82	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
79	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
80	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
81	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
82	assumption		⊢
*equality replacement requirements