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	23	⊢
2	instantiation	23, 4, 5	, , , ⊢
	: , : , :
3	instantiation	13, 33, 34, 6, 39, 16, 40, 38, 12	, , , ⊢
	: , : , : , : , : , : , :
4	instantiation	23, 7, 8	, , , ⊢
	: , : , :
5	instantiation	9, 14, 34, 35, 10, 11, 37, 39, 16, 40, 38, 12	, , , ⊢
	: , : , : , : , : , :
6	instantiation	41	⊢
	: , :
7	instantiation	13, 35, 14, 37, 15, 16, 40, 17, 39	, , , ⊢
	: , : , : , : , : , : , :
8	instantiation	27, 18	, , ⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.multiplication.disassociation
10	instantiation	19	⊢
	: , : , :
11	instantiation	41	⊢
	: , :
12	instantiation	20, 39, 40	, ⊢
	: , :
13	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
15	instantiation	19	⊢
	: , : , :
16	assumption		⊢
17	instantiation	20, 21, 22	, , ⊢
	: , :
18	instantiation	23, 24, 25	, , ⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
20	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
21	instantiation	26, 38, 39	, ⊢
	: , :
22	instantiation	26, 40, 38	, ⊢
	: , :
23	axiom		⊢
	proveit.logic.equality.equals_transitivity
24	instantiation	27, 28	, ⊢
	: , : , :
25	instantiation	29, 30	, , ⊢
	: , :
26	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
27	axiom		⊢
	proveit.logic.equality.substitution
28	instantiation	31, 40, 38	, ⊢
	: , :
29	theorem		⊢
	proveit.logic.equality.equals_reversal
30	instantiation	32, 33, 34, 35, 36, 37, 38, 39, 40	, , ⊢
	: , : , : , : , : , :
31	theorem		⊢
	proveit.numbers.multiplication.commutation
32	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
35	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
36	instantiation	41	⊢
	: , :
37	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
38	assumption		⊢
39	assumption		⊢
40	assumption		⊢
41	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq