Show the Proof¶

In [1]:

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

Out[1]:

	step type	requirements	statement
0	instantiation	1, 2	, ⊢
	: , : , :
1	reference	6	⊢
2	instantiation	3, 4, 5	, ⊢
	: , : , :
3	axiom		⊢
	proveit.logic.equality.equals_transitivity
4	instantiation	6, 7	⊢
	: , : , :
5	instantiation	8, 9, 10, 11, 12, 13, 14, 15, 16	, ⊢
	: , : , : , : , : , :
6	axiom		⊢
	proveit.logic.equality.substitution
7	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_2
8	theorem		⊢
	proveit.numbers.addition.disassociation
9	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
12	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13	instantiation	17	⊢
	: , :
14	instantiation	26, 20, 18	⊢
	: , : , :
15	instantiation	26, 20, 19	⊢
	: , : , :
16	instantiation	26, 20, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
18	assumption		⊢
19	assumption		⊢
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	instantiation	26, 22, 23	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	26, 24, 25	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	instantiation	26, 27, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat3