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	8	⊢
2	instantiation	4, 5	, , , ⊢
	: , : , :
3	instantiation	6, 7	, , , ⊢
	: , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	8, 9, 10	, , , ⊢
	: , : , :
6	theorem		⊢
	proveit.logic.equality.equals_reversal
7	instantiation	11, 18, 12	, , , ⊢
	: , :
8	axiom		⊢
	proveit.logic.equality.equals_transitivity
9	instantiation	13, 25, 27, 26, 28, 14, 32, 18, 33, 30	, , , ⊢
	: , : , : , : , : , : , :
10	instantiation	15, 27, 16, 25, 17, 28, 18, 32, 33, 30	, , , ⊢
	: , : , : , : , : , :
11	theorem		⊢
	proveit.numbers.negation.pos_times_neg
12	instantiation	19, 20, 21	, , ⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
14	instantiation	34	⊢
	: , :
15	theorem		⊢
	proveit.numbers.multiplication.association
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
17	instantiation	22	⊢
	: , : , :
18	assumption		⊢
19	theorem		⊢
	proveit.logic.equality.sub_right_side_into
20	instantiation	31, 23, 30	, , ⊢
	: , :
21	instantiation	24, 25, 26, 27, 28, 29, 32, 33, 30	, , ⊢
	: , : , : , : , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
23	instantiation	31, 32, 33	, ⊢
	: , :
24	theorem		⊢
	proveit.numbers.multiplication.disassociation
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	34	⊢
	: , :
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
32	assumption		⊢
33	assumption		⊢
34	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq