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_right_side_into
2	reference	33	⊢
3	instantiation	4, 5, 6, 7	⊢
	: , : , : , :
4	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
5	instantiation	8, 27, 26, 29, 28, 9, 16, 17, 13, 14	⊢
	: , : , : , : , : , :
6	instantiation	10, 27, 23, 29, 11, 13, 14	⊢
	: , : , : , : , : , : , :
7	instantiation	12, 23, 26, 28, 13, 16, 17, 14	⊢
	: , : , : , : , : , :
8	theorem		⊢
	proveit.logic.booleans.disjunction.association
9	instantiation	31	⊢
	: , :
10	theorem		⊢
	proveit.logic.booleans.disjunction.rightward_commutation
11	instantiation	15, 16, 17	⊢
	: , :
12	theorem		⊢
	proveit.logic.booleans.disjunction.disassociation
13	instantiation	18, 26, 23, 28, 21	⊢
	: , : , : , : , :
14	instantiation	18, 19, 27, 20, 29, 21	⊢
	: , : , : , : , :
15	theorem		⊢
	proveit.logic.booleans.disjunction.binary_closure
16	instantiation	25, 27, 26, 29, 22, 30	⊢
	: , : , : , : , :
17	instantiation	25, 23, 30	⊢
	: , : , : , : , :
18	theorem		⊢
	proveit.logic.booleans.disjunction.each_is_bool
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
20	instantiation	24	⊢
	: , : , :
21	instantiation	25, 26, 27, 28, 29, 30	⊢
	: , : , : , : , :
22	instantiation	31	⊢
	: , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
24	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
25	theorem		⊢
	proveit.logic.booleans.conjunction.each_is_bool
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
27	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
28	instantiation	31	⊢
	: , :
29	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
30	instantiation	32, 33	⊢
	:
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
32	theorem		⊢
	proveit.logic.booleans.in_bool_if_true
33	assumption		⊢