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, 8, 9, 10, 11, 16*, 18*	⊢
	: , : , : , :
3	instantiation	12, 23, 24	⊢
	: , :
4	instantiation	13, 14	⊢
	: , :
5	theorem		⊢
	proveit.core_expr_types.tuples.general_len
6	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
7	instantiation	15	⊢
	: , :
8	instantiation	15	⊢
	: , :
9	instantiation	15	⊢
	: , :
10	instantiation	17, 42, 16	⊢
	: , : , :
11	instantiation	17, 35, 18	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.addition.commutation
13	theorem		⊢
	proveit.logic.equality.equals_reversal
14	instantiation	19, 20	⊢
	: , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	instantiation	21, 23, 25	⊢
	: , : , :
17	theorem		⊢
	proveit.logic.equality.sub_left_side_into
18	instantiation	22, 23, 24, 25	⊢
	: , : , :
19	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len
20	instantiation	26, 35, 42	⊢
	: , :
21	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
22	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
23	instantiation	40, 28, 27	⊢
	: , : , :
24	instantiation	40, 28, 29	⊢
	: , : , :
25	instantiation	30	⊢
	:
26	theorem		⊢
	proveit.numbers.addition.add_nat_closure_bin
27	instantiation	40, 31, 32	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
29	instantiation	33, 34, 35	⊢
	: , : , :
30	axiom		⊢
	proveit.logic.equality.equals_reflexivity
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	40, 36, 37	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
34	instantiation	38, 39	⊢
	: , :
35	assumption		⊢
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	instantiation	40, 41, 42	⊢
	: , : , :
38	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_within_real
40	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements