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	⊢
	: , : , :
1	theorem		⊢
	proveit.logic.sets.intersection.membership_unfolding
2	reference	6	⊢
3	reference	7	⊢
4	instantiation	5, 6, 7, 8, 9	⊢
	: , : , :
5	theorem		⊢
	proveit.logic.sets.intersection.membership_folding
6	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
7	instantiation	10	⊢
	: , :
8	instantiation	13, 20, 11, 12	⊢
	: , : , :
9	instantiation	13, 14, 15, 16	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	27	⊢
	: , : , :
12	instantiation	18, 19, 22, 23, 24, 29	⊢
	: , : , : , : , :
13	theorem		⊢
	proveit.logic.sets.enumeration.fold
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
15	instantiation	17	⊢
	: , : , : , : , :
16	instantiation	18, 19, 20, 21, 22, 23, 24, 25, 26, 29	⊢
	: , : , : , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
18	theorem		⊢
	proveit.logic.booleans.disjunction.or_if_any
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
20	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
21	instantiation	27	⊢
	: , : , :
22	instantiation	30	⊢
	: , :
23	instantiation	28, 29	⊢
	:
24	instantiation	30	⊢
	: , :
25	instantiation	30	⊢
	: , :
26	instantiation	30	⊢
	: , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
28	theorem		⊢
	proveit.logic.booleans.in_bool_if_true
29	assumption		⊢
30	axiom		⊢
	proveit.logic.equality.equality_in_bool