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	4, 43, 46, 5, 6, 7, 13, 10, 8	⊢
	: , : , : , : , : , :
3	instantiation	9, 13, 10, 11	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.disassociation
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	instantiation	12	⊢
	: , :
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	28, 13	⊢
	:
9	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
10	instantiation	44, 35, 14	⊢
	: , : , :
11	instantiation	15	⊢
	:
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13	instantiation	16, 17, 18	⊢
	: , :
14	instantiation	19, 20	⊢
	:
15	axiom		⊢
	proveit.logic.equality.equals_reflexivity
16	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
17	instantiation	44, 35, 20	⊢
	: , : , :
18	instantiation	21, 22, 23	⊢
	: , :
19	theorem		⊢
	proveit.numbers.negation.real_closure
20	instantiation	24, 25, 27, 26	⊢
	: , :
21	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
22	instantiation	44, 35, 27	⊢
	: , : , :
23	instantiation	28, 29	⊢
	:
24	theorem		⊢
	proveit.numbers.division.div_real_closure
25	instantiation	44, 33, 30	⊢
	: , : , :
26	instantiation	31, 32	⊢
	:
27	instantiation	44, 33, 34	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.negation.complex_closure
29	instantiation	44, 35, 36	⊢
	: , : , :
30	instantiation	44, 38, 37	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
32	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
34	instantiation	44, 38, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
36	instantiation	40, 41, 42	⊢
	: , : , :
37	instantiation	44, 45, 43	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	44, 45, 46	⊢
	: , : , :
40	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
41	instantiation	47, 48	⊢
	: , :
42	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
44	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
47	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real