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	reference	10	⊢
2	instantiation	12, 3	⊢
	: , : , :
3	instantiation	12, 4	⊢
	: , : , :
4	instantiation	5, 6, 7, 8	⊢
	: , : , : , :
5	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
6	instantiation	12, 9	⊢
	: , : , :
7	instantiation	10, 11	⊢
	: , :
8	instantiation	12, 13	⊢
	: , : , :
9	instantiation	14, 15, 16	⊢
	: , :
10	theorem		⊢
	proveit.logic.equality.equals_reversal
11	instantiation	17, 18, 24, 23, 19	⊢
	: , : , :
12	axiom		⊢
	proveit.logic.equality.substitution
13	instantiation	20, 21, 22	⊢
	: , :
14	theorem		⊢
	proveit.numbers.addition.commutation
15	instantiation	50, 25, 23	⊢
	: , : , :
16	instantiation	50, 25, 24	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
18	instantiation	50, 25, 26	⊢
	: , : , :
19	instantiation	27, 49	⊢
	:
20	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
21	instantiation	50, 28, 29	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
23	instantiation	30, 31, 32	⊢
	: , : , :
24	instantiation	50, 34, 33	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	50, 34, 35	⊢
	: , : , :
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	50, 36, 37	⊢
	: , : , :
30	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
31	instantiation	38, 39	⊢
	: , :
32	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
33	instantiation	50, 41, 40	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
35	instantiation	50, 41, 42	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
37	instantiation	50, 43, 44	⊢
	: , : , :
38	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
40	instantiation	45, 46	⊢
	:
41	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
42	instantiation	50, 51, 47	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
44	instantiation	50, 48, 49	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.negation.int_closure
46	instantiation	50, 51, 52	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
48	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
49	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
50	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
51	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
52	theorem		⊢
	proveit.numbers.numerals.decimals.nat1