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	reference	6	⊢
2	instantiation	9, 4	⊢
	: , : , :
3	instantiation	5, 26	⊢
	:
4	instantiation	6, 7, 8	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
6	axiom		⊢
	proveit.logic.equality.equals_transitivity
7	instantiation	9, 10	⊢
	: , : , :
8	instantiation	11, 12, 13, 14	⊢
	: , : , : , :
9	axiom		⊢
	proveit.logic.equality.substitution
10	theorem		⊢
	proveit.numbers.negation.negated_zero
11	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
12	instantiation	15, 16, 21, 17, 22, 18, 26, 23, 19, 25	⊢
	: , : , : , : , : , :
13	instantiation	20, 21, 48, 22, 26, 23, 25	⊢
	: , : , : , :
14	instantiation	24, 25, 26, 27	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.addition.disassociation
16	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
17	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
18	instantiation	28	⊢
	: , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
20	theorem		⊢
	proveit.numbers.addition.elim_zero_any
21	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
22	instantiation	28	⊢
	: , :
23	instantiation	46, 31, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
25	instantiation	46, 31, 30	⊢
	: , : , :
26	instantiation	46, 31, 32	⊢
	: , : , :
27	instantiation	33	⊢
	:
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
29	instantiation	46, 35, 34	⊢
	: , : , :
30	instantiation	46, 35, 36	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
32	instantiation	37, 38, 39	⊢
	: , : , :
33	axiom		⊢
	proveit.logic.equality.equals_reflexivity
34	instantiation	46, 41, 40	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	46, 41, 45	⊢
	: , : , :
37	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
38	instantiation	42, 43	⊢
	: , :
39	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
40	instantiation	44, 45	⊢
	:
41	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
42	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
44	theorem		⊢
	proveit.numbers.negation.int_closure
45	instantiation	46, 47, 48	⊢
	: , : , :
46	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat1