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, 20, 25, 21	⊢
	: , : , :
13	axiom		⊢
	proveit.logic.equality.substitution
14	instantiation	22, 23, 24	⊢
	: , :
15	theorem		⊢
	proveit.numbers.addition.commutation
16	instantiation	53, 36, 25	⊢
	: , : , :
17	instantiation	26, 27	⊢
	:
18	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
19	instantiation	53, 36, 28	⊢
	: , : , :
20	instantiation	29, 37	⊢
	:
21	instantiation	30, 52	⊢
	:
22	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
23	instantiation	53, 31, 32	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
25	instantiation	33, 34, 35	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.negation.complex_closure
27	instantiation	53, 36, 37	⊢
	: , : , :
28	instantiation	53, 43, 38	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.negation.real_closure
30	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
31	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
32	instantiation	53, 39, 40	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
34	instantiation	41, 42	⊢
	: , :
35	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
36	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
37	instantiation	53, 43, 44	⊢
	: , : , :
38	instantiation	53, 48, 45	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
40	instantiation	53, 46, 47	⊢
	: , : , :
41	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
43	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
44	instantiation	53, 48, 49	⊢
	: , : , :
45	instantiation	53, 54, 50	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
47	instantiation	53, 51, 52	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
49	instantiation	53, 54, 55	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
51	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
52	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
53	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
54	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
55	theorem		⊢
	proveit.numbers.numerals.decimals.nat1