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	reference	14	⊢
2	instantiation	14, 4, 5	, , , ⊢
	: , : , :
3	instantiation	6, 26, 25, 28, 10, 7, 12, 31, 29, 13, 30	, , , ⊢
	: , : , : , : , : , : , :
4	instantiation	18, 8	, , ⊢
	: , : , :
5	instantiation	9, 25, 24, 10, 11, 12, 31, 29, 13, 30	, , , ⊢
	: , : , : , : , : , :
6	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
7	instantiation	32	⊢
	: , :
8	instantiation	14, 15, 16	, , ⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.multiplication.disassociation
10	instantiation	32	⊢
	: , :
11	instantiation	32	⊢
	: , :
12	assumption		⊢
13	instantiation	17, 30, 31	, ⊢
	: , :
14	axiom		⊢
	proveit.logic.equality.equals_transitivity
15	instantiation	18, 19	, ⊢
	: , : , :
16	instantiation	20, 21	, , ⊢
	: , :
17	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
18	axiom		⊢
	proveit.logic.equality.substitution
19	instantiation	22, 31, 29	, ⊢
	: , :
20	theorem		⊢
	proveit.logic.equality.equals_reversal
21	instantiation	23, 24, 25, 26, 27, 28, 29, 30, 31	, , ⊢
	: , : , : , : , : , :
22	theorem		⊢
	proveit.numbers.multiplication.commutation
23	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
26	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
27	instantiation	32	⊢
	: , :
28	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
29	assumption		⊢
30	assumption		⊢
31	assumption		⊢
32	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq