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.equality.four_chain_transitivity
2	instantiation	5, 24, 23, 26, 25, 6, 13, 14, 10, 11	⊢
	: , : , : , : , : , :
3	instantiation	7, 24, 20, 26, 8, 10, 11	⊢
	: , : , : , : , : , : , :
4	instantiation	9, 20, 23, 25, 10, 13, 14, 11	⊢
	: , : , : , : , : , :
5	theorem		⊢
	proveit.logic.booleans.disjunction.association
6	instantiation	28	⊢
	: , :
7	theorem		⊢
	proveit.logic.booleans.disjunction.rightward_commutation
8	instantiation	12, 13, 14	⊢
	: , :
9	theorem		⊢
	proveit.logic.booleans.disjunction.disassociation
10	instantiation	15, 23, 20, 25, 18	⊢
	: , : , : , : , :
11	instantiation	15, 16, 24, 17, 26, 18	⊢
	: , : , : , : , :
12	theorem		⊢
	proveit.logic.booleans.disjunction.binary_closure
13	instantiation	22, 24, 23, 26, 19, 27	⊢
	: , : , : , : , :
14	instantiation	22, 20, 27	⊢
	: , : , : , : , :
15	theorem		⊢
	proveit.logic.booleans.disjunction.each_is_bool
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
17	instantiation	21	⊢
	: , : , :
18	instantiation	22, 23, 24, 25, 26, 27	⊢
	: , : , : , : , :
19	instantiation	28	⊢
	: , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
21	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
22	theorem		⊢
	proveit.logic.booleans.conjunction.each_is_bool
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
24	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
25	instantiation	28	⊢
	: , :
26	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
27	instantiation	29, 30	⊢
	:
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
29	theorem		⊢
	proveit.logic.booleans.in_bool_if_true
30	assumption		⊢