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.intersection.membership_folding
2	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
3	instantiation	27	⊢
	: , :
4	instantiation	9, 6, 7, 8	⊢
	: , : , :
5	instantiation	9, 10, 11, 12	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
7	instantiation	13	⊢
	: , : , :
8	instantiation	17, 18, 14, 19, 15, 21, 22, 23, 26	⊢
	: , : , : , : , :
9	theorem		⊢
	proveit.logic.sets.enumeration.fold
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
11	instantiation	16	⊢
	: , : , : , : , :
12	instantiation	17, 18, 19, 20, 21, 22, 23, 24, 25, 26	⊢
	: , : , : , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
14	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
15	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
17	theorem		⊢
	proveit.logic.booleans.disjunction.or_if_any
18	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
19	instantiation	27	⊢
	: , :
20	instantiation	27	⊢
	: , :
21	instantiation	28	⊢
	: , :
22	instantiation	28	⊢
	: , :
23	instantiation	28	⊢
	: , :
24	instantiation	28	⊢
	: , :
25	instantiation	28	⊢
	: , :
26	assumption		⊢
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
28	axiom		⊢
	proveit.logic.equality.equality_in_bool