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	theorem		⊢
	proveit.logic.equality.sub_right_side_into
2	instantiation	4, 5, 6	⊢
	: , : , :
3	instantiation	7, 16, 8	⊢
	: , :
4	axiom		⊢
	proveit.logic.equality.equals_transitivity
5	instantiation	9, 10, 42, 11, 12, 13, 16, 14, 17	⊢
	: , : , : , : , : , :
6	instantiation	15, 16, 17, 18	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.addition.commutation
8	instantiation	43, 23, 19	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.addition.disassociation
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
11	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
12	instantiation	20	⊢
	: , :
13	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
14	instantiation	43, 23, 21	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
16	instantiation	43, 23, 22	⊢
	: , : , :
17	instantiation	43, 23, 24	⊢
	: , : , :
18	instantiation	25	⊢
	:
19	instantiation	43, 30, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21	instantiation	43, 30, 27	⊢
	: , : , :
22	instantiation	28, 29, 45	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	instantiation	43, 30, 31	⊢
	: , : , :
25	axiom		⊢
	proveit.logic.equality.equals_reflexivity
26	instantiation	43, 35, 32	⊢
	: , : , :
27	instantiation	43, 35, 37	⊢
	: , : , :
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	43, 35, 38	⊢
	: , : , :
32	instantiation	36, 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	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
37	instantiation	39, 40	⊢
	:
38	instantiation	43, 41, 42	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.negation.int_closure
40	instantiation	43, 44, 45	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
43	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
45	assumption		⊢