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	4, 5	⊢
	: , : , :
3	instantiation	6, 7, 8	⊢
	: , : , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	9, 17	⊢
	:
6	axiom		⊢
	proveit.logic.equality.equals_transitivity
7	instantiation	10, 11, 12, 39, 13, 14, 15, 18, 17	⊢
	: , : , : , : , : , :
8	instantiation	16, 17, 18, 19	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.negation.double_negation
10	theorem		⊢
	proveit.numbers.addition.disassociation
11	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
13	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
14	instantiation	20	⊢
	: , :
15	instantiation	40, 23, 21	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_31
17	instantiation	40, 23, 22	⊢
	: , : , :
18	instantiation	40, 23, 24	⊢
	: , : , :
19	instantiation	25	⊢
	:
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21	instantiation	40, 29, 26	⊢
	: , : , :
22	instantiation	27, 28, 42	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	instantiation	40, 29, 30	⊢
	: , : , :
25	axiom		⊢
	proveit.logic.equality.equals_reflexivity
26	instantiation	40, 34, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
28	instantiation	32, 33	⊢
	: , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
30	instantiation	40, 34, 35	⊢
	: , : , :
31	instantiation	36, 37	⊢
	:
32	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
35	instantiation	40, 38, 39	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.negation.int_closure
37	instantiation	40, 41, 42	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
40	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
42	assumption		⊢