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