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, 3	, , ⊢
	: , : , :
1	theorem		⊢
	proveit.logic.equality.sub_left_side_into
2	instantiation	4, 5, 6, 7, 8, 9	, , ⊢
	: , : , :
3	instantiation	13, 10, 11	⊢
	: , : , :
4	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_fold
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
6	instantiation	12	⊢
	: , : , :
7	assumption		⊢
8	assumption		⊢
9	assumption		⊢
10	instantiation	13, 14, 15	⊢
	: , : , :
11	instantiation	16, 39, 17, 18	⊢
	: , : , : , : , : , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
13	axiom		⊢
	proveit.logic.equality.equals_transitivity
14	instantiation	16, 39, 17, 18	⊢
	: , : , : , : , : , : , :
15	instantiation	19, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.logic.sets.enumeration.leftward_permutation
17	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19	axiom		⊢
	proveit.logic.equality.substitution
20	instantiation	21, 22, 23	⊢
	: , : , :
21	theorem		⊢
	proveit.logic.equality.sub_right_side_into
22	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
23	instantiation	24, 25, 26	⊢
	: , :
24	theorem		⊢
	proveit.numbers.addition.commutation
25	instantiation	37, 28, 27	⊢
	: , : , :
26	instantiation	37, 28, 29	⊢
	: , : , :
27	instantiation	37, 31, 30	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
29	instantiation	37, 31, 32	⊢
	: , : , :
30	instantiation	37, 34, 33	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	37, 34, 35	⊢
	: , : , :
33	instantiation	37, 38, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
35	instantiation	37, 38, 39	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat1