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	theorem		⊢
	proveit.logic.equality.lhs_via_equality
2	instantiation	4, 5, 6	⊢
	: , :
3	instantiation	7	⊢
	: , : , : , :
4	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
5	axiom		⊢
	proveit.logic.booleans.true_axiom
6	assumption		⊢
7	instantiation	8, 20, 9*, 10*, 11*	⊢
	:
8	axiom		⊢
	proveit.core_expr_types.tuples.tuple_eq_def
9	instantiation	13, 20, 43, 14, 12, 25	⊢
	: , : , : , : , : , : , :
10	instantiation	13, 20, 43, 14, 15, 26	⊢
	: , : , : , : , : , : , :
11	instantiation	16, 17, 18	⊢
	: , : , :
12	instantiation	19, 20	⊢
	: , :
13	theorem		⊢
	proveit.core_expr_types.tuples.tuple_portion_substitution
14	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
15	instantiation	19, 20	⊢
	: , :
16	axiom		⊢
	proveit.logic.equality.equals_transitivity
17	instantiation	21, 22, 23, 24, 25, 26	⊢
	: , : , : , :
18	instantiation	27, 28	⊢
	:
19	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
20	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
21	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
22	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
23	instantiation	29	⊢
	: , :
24	instantiation	29	⊢
	: , :
25	instantiation	30, 31	⊢
	: , : , :
26	instantiation	30, 31	⊢
	: , : , :
27	axiom		⊢
	proveit.logic.booleans.eq_true_intro
28	instantiation	32	⊢
	:
29	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
30	axiom		⊢
	proveit.core_expr_types.tuples.empty_range_def
31	instantiation	33, 34	⊢
	:
32	axiom		⊢
	proveit.logic.equality.equals_reflexivity
33	theorem		⊢
	proveit.numbers.addition.elim_zero_left
34	instantiation	41, 35, 36	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
36	instantiation	41, 37, 38	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
38	instantiation	41, 39, 40	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
40	instantiation	41, 42, 43	⊢
	: , : , :
41	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements