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	⊢
	: , : , : , :
1	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
2	reference	45	⊢
3	instantiation	16	⊢
	: , :
4	instantiation	16	⊢
	: , :
5	instantiation	7, 27, 8	⊢
	: , : , :
6	instantiation	9, 40, 45, 10, 11, 12, 13, 28, 27, 14*	⊢
	: , : , : , : , : , :
7	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
8	instantiation	15	⊢
	:
9	theorem		⊢
	proveit.numbers.addition.association
10	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
11	instantiation	16	⊢
	: , :
12	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13	instantiation	43, 35, 17	⊢
	: , : , :
14	instantiation	18, 19, 20	⊢
	: , : , :
15	axiom		⊢
	proveit.logic.equality.equals_reflexivity
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
17	instantiation	21, 22, 23	⊢
	: , : , :
18	theorem		⊢
	proveit.logic.equality.sub_right_side_into
19	instantiation	24, 27, 33, 25	⊢
	: , : , :
20	instantiation	26, 27, 28	⊢
	: , :
21	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
22	instantiation	29, 30	⊢
	: , :
23	assumption		⊢
24	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
25	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
26	theorem		⊢
	proveit.numbers.addition.commutation
27	instantiation	43, 35, 31	⊢
	: , : , :
28	instantiation	32, 33	⊢
	:
29	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
31	instantiation	43, 38, 34	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.negation.complex_closure
33	instantiation	43, 35, 36	⊢
	: , : , :
34	instantiation	43, 41, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
36	instantiation	43, 38, 39	⊢
	: , : , :
37	instantiation	43, 44, 40	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
39	instantiation	43, 41, 42	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
41	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
42	instantiation	43, 44, 45	⊢
	: , : , :
43	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements