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, 4	⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	13, 5, 6	⊢
	: , : , :
3	instantiation	33	⊢
	:
4	instantiation	7, 8	⊢
	: , :
5	instantiation	18, 19, 52, 42, 20, 9, 24, 10, 11	⊢
	: , : , : , : , : , :
6	instantiation	23, 11, 24, 12	⊢
	: , : , :
7	theorem		⊢
	proveit.logic.equality.equals_reversal
8	instantiation	13, 14, 15	⊢
	: , : , :
9	instantiation	29	⊢
	: , :
10	instantiation	50, 37, 16	⊢
	: , : , :
11	instantiation	50, 37, 17	⊢
	: , : , :
12	instantiation	33	⊢
	:
13	axiom		⊢
	proveit.logic.equality.equals_transitivity
14	instantiation	18, 19, 52, 42, 20, 21, 24, 22, 31	⊢
	: , : , : , : , : , :
15	instantiation	23, 31, 24, 25	⊢
	: , : , :
16	instantiation	50, 26, 27	⊢
	: , : , :
17	instantiation	50, 43, 28	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.addition.disassociation
19	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
20	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
21	instantiation	29	⊢
	: , :
22	instantiation	30, 31	⊢
	:
23	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
24	instantiation	50, 37, 32	⊢
	: , : , :
25	instantiation	33	⊢
	:
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
27	instantiation	50, 34, 35	⊢
	: , : , :
28	instantiation	50, 48, 36	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
30	theorem		⊢
	proveit.numbers.negation.complex_closure
31	instantiation	50, 37, 38	⊢
	: , : , :
32	instantiation	50, 43, 39	⊢
	: , : , :
33	axiom		⊢
	proveit.logic.equality.equals_reflexivity
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
35	instantiation	50, 40, 41	⊢
	: , : , :
36	instantiation	50, 51, 42	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
38	instantiation	50, 43, 44	⊢
	: , : , :
39	instantiation	50, 48, 45	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
41	instantiation	46, 47	⊢
	:
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
43	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
44	instantiation	50, 48, 49	⊢
	: , : , :
45	assumption		⊢
46	theorem		⊢
	proveit.numbers.negation.int_neg_closure
47	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
48	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
49	instantiation	50, 51, 52	⊢
	: , : , :
50	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
51	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
52	theorem		⊢
	proveit.numbers.numerals.decimals.nat2