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	6, 5	⊢
	: , : , :
3	instantiation	6, 7	⊢
	: , : , :
4	instantiation	8, 9	⊢
	:
5	instantiation	10, 9	⊢
	:
6	axiom		⊢
	proveit.logic.equality.substitution
7	instantiation	10, 11	⊢
	:
8	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
9	instantiation	24, 13, 12	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.division.frac_one_denom
11	instantiation	24, 13, 14	⊢
	: , : , :
12	instantiation	15, 16, 17	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
14	instantiation	24, 18, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
16	instantiation	20, 21	⊢
	: , :
17	assumption		⊢
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
19	instantiation	24, 22, 23	⊢
	: , : , :
20	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
23	instantiation	24, 25, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat1