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