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