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	20	⊢
2	instantiation	4, 5, 6, 7	, , , ⊢
	: , : , : , :
3	instantiation	14, 31, 8, 34, 9, 17, 37, 18, 36, 38	, , , ⊢
	: , : , : , : , : , : , :
4	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
5	instantiation	25, 10	, , ⊢
	: , : , :
6	instantiation	11, 32, 33, 12, 13, 17, 37, 18, 38, 36	, , , ⊢
	: , : , : , : , : , :
7	instantiation	14, 15, 33, 31, 16, 34, 17, 37, 18, 38, 36	, , , ⊢
	: , : , : , : , : , : , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
9	instantiation	19	⊢
	: , : , : , :
10	instantiation	20, 21, 22	, , ⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.multiplication.disassociation
12	instantiation	39	⊢
	: , :
13	instantiation	39	⊢
	: , :
14	theorem		⊢
	proveit.numbers.multiplication.rightward_commutation
15	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
16	instantiation	23	⊢
	: , : , :
17	assumption		⊢
18	instantiation	24, 36, 37	, ⊢
	: , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
20	axiom		⊢
	proveit.logic.equality.equals_transitivity
21	instantiation	25, 26	, ⊢
	: , : , :
22	instantiation	27, 28	, , ⊢
	: , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
24	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
25	axiom		⊢
	proveit.logic.equality.substitution
26	instantiation	29, 38, 36	, ⊢
	: , :
27	theorem		⊢
	proveit.logic.equality.equals_reversal
28	instantiation	30, 31, 32, 33, 34, 35, 36, 37, 38	, , ⊢
	: , : , : , : , : , :
29	theorem		⊢
	proveit.numbers.multiplication.commutation
30	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
31	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
34	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
35	instantiation	39	⊢
	: , :
36	assumption		⊢
37	assumption		⊢
38	assumption		⊢
39	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq