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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 5, 6, 41, 7, 8, 14, 9, 10, 13, 11	,  ⊢
	: , : , : , : , : , : , : , :
3	instantiation	12, 13, 14, 15	,  ⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	instantiation	16	⊢
	: , :
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	instantiation	42, 20, 17	⊢
	: , : , :
10	instantiation	42, 20, 18	⊢
	: , : , :
11	instantiation	22	⊢
	:
12	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
13	instantiation	42, 20, 19	⊢
	: , : , :
14	instantiation	42, 20, 21	,  ⊢
	: , : , :
15	instantiation	22	⊢
	:
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
17	instantiation	42, 27, 23	⊢
	: , : , :
18	instantiation	42, 27, 24	⊢
	: , : , :
19	instantiation	25, 26, 44	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	instantiation	42, 27, 28	,  ⊢
	: , : , :
22	axiom		⊢
	proveit.logic.equality.equals_reflexivity
23	instantiation	42, 32, 29	⊢
	: , : , :
24	instantiation	42, 32, 38	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
26	instantiation	30, 31	⊢
	: , :
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	42, 32, 33	,  ⊢
	: , : , :
29	instantiation	34, 39	⊢
	:
30	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	42, 35, 36	,  ⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.negation.int_closure
35	instantiation	37, 38, 39	⊢
	: , :
36	assumption		⊢
37	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
38	instantiation	42, 40, 41	⊢
	: , : , :
39	instantiation	42, 43, 44	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
42	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
44	assumption		⊢