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