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, 5	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
2	reference	18	⊢
3	instantiation	43, 25, 6	⊢
	: , : , :
4	reference	19	⊢
5	instantiation	7, 8, 9	⊢
	: , : , :
6	instantiation	43, 32, 10	⊢
	: , : , :
7	axiom		⊢
	proveit.logic.equality.equals_transitivity
8	instantiation	11, 42, 12, 13, 14, 15, 18, 16, 19	⊢
	: , : , : , : , : , :
9	instantiation	17, 18, 19, 20	⊢
	: , : , :
10	instantiation	43, 37, 21	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.addition.disassociation
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
13	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
14	instantiation	22	⊢
	: , :
15	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
16	instantiation	43, 25, 23	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
18	instantiation	43, 25, 24	⊢
	: , : , :
19	instantiation	43, 25, 26	⊢
	: , : , :
20	instantiation	27	⊢
	:
21	instantiation	28, 34, 38	⊢
	: , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
23	instantiation	43, 32, 29	⊢
	: , : , :
24	instantiation	30, 31, 45	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	43, 32, 33	⊢
	: , : , :
27	axiom		⊢
	proveit.logic.equality.equals_reflexivity
28	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
29	instantiation	43, 37, 34	⊢
	: , : , :
30	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
31	instantiation	35, 36	⊢
	: , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	43, 37, 38	⊢
	: , : , :
34	instantiation	39, 40	⊢
	:
35	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
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.nat1
43	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
45	assumption		⊢