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, 4, 5	⊢
	: , : , :
1	theorem		⊢
	proveit.logic.sets.unification.nonmembership_folding
2	reference	32	⊢
3	instantiation	20	⊢
	: , :
4	instantiation	21, 6, 8	⊢
	: , : , :
5	instantiation	21, 7, 8	⊢
	: , : , :
6	instantiation	12, 24, 9, 10, 14, 11	⊢
	: , : , :
7	instantiation	12, 28, 13, 14, 18	⊢
	: , : , :
8	assumption		⊢
9	instantiation	15	⊢
	: , : , :
10	instantiation	26, 27, 16, 17	⊢
	: , :
11	instantiation	21, 18, 19	⊢
	: , : , :
12	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_fold
13	instantiation	20	⊢
	: , :
14	instantiation	21, 22, 23	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
17	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
18	instantiation	26, 27, 24, 25	⊢
	: , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21	theorem		⊢
	proveit.logic.equality.sub_left_side_into
22	instantiation	26, 27, 28, 29	⊢
	: , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
25	instantiation	31, 30	⊢
	:
26	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
27	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
29	instantiation	31, 32	⊢
	:
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
31	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
32	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2