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