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