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	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	7, 3, 4	⊢
	: , : , :
3	instantiation	5, 6	⊢
	: , : , :
4	instantiation	7, 8, 9	⊢
	: , : , :
5	axiom		⊢
	proveit.logic.equality.substitution
6	instantiation	10, 18	⊢
	:
7	axiom		⊢
	proveit.logic.equality.equals_transitivity
8	instantiation	11, 12, 13, 40, 14, 15, 16, 19, 18	⊢
	: , : , : , : , : , :
9	instantiation	17, 18, 19, 20	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.negation.double_negation
11	theorem		⊢
	proveit.numbers.addition.disassociation
12	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
14	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
15	instantiation	21	⊢
	: , :
16	instantiation	41, 24, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_31
18	instantiation	41, 24, 23	⊢
	: , : , :
19	instantiation	41, 24, 25	⊢
	: , : , :
20	instantiation	26	⊢
	:
21	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
22	instantiation	41, 30, 27	⊢
	: , : , :
23	instantiation	28, 29, 43	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
25	instantiation	41, 30, 31	⊢
	: , : , :
26	axiom		⊢
	proveit.logic.equality.equals_reflexivity
27	instantiation	41, 35, 32	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
29	instantiation	33, 34	⊢
	: , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	41, 35, 36	⊢
	: , : , :
32	instantiation	37, 38	⊢
	:
33	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	instantiation	41, 39, 40	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.negation.int_closure
38	instantiation	41, 42, 43	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
41	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
43	assumption		⊢