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	13, 5	⊢
	: , : , :
3	instantiation	13, 4	⊢
	: , : , :
4	instantiation	13, 5	⊢
	: , : , :
5	instantiation	6, 7, 8, 9	⊢
	: , : , : , :
6	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
7	instantiation	13, 10	⊢
	: , : , :
8	instantiation	11, 12	⊢
	: , :
9	instantiation	13, 14	⊢
	: , : , :
10	instantiation	15, 16, 17	⊢
	: , :
11	theorem		⊢
	proveit.logic.equality.equals_reversal
12	instantiation	18, 19, 24, 23, 20	⊢
	: , : , :
13	axiom		⊢
	proveit.logic.equality.substitution
14	instantiation	21, 22, 55	⊢
	: , :
15	theorem		⊢
	proveit.numbers.addition.commutation
16	instantiation	51, 25, 23	⊢
	: , : , :
17	instantiation	51, 25, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
19	instantiation	51, 25, 26	⊢
	: , : , :
20	instantiation	27, 53	⊢
	:
21	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
22	instantiation	51, 28, 29	⊢
	: , : , :
23	instantiation	30, 31, 32	⊢
	: , : , :
24	instantiation	51, 33, 34	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	51, 35, 36	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
29	instantiation	51, 37, 38	⊢
	: , : , :
30	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
31	instantiation	39, 40	⊢
	: , :
32	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
34	instantiation	51, 41, 42	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	51, 43, 44	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
38	instantiation	51, 45, 46	⊢
	: , : , :
39	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
42	instantiation	51, 47, 48	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
44	instantiation	51, 49, 50	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
46	instantiation	51, 52, 53	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
48	instantiation	54, 55	⊢
	:
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
51	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
52	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
53	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
54	theorem		⊢
	proveit.numbers.negation.int_neg_closure
55	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1