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	theorem		⊢
	proveit.numbers.absolute_value.abs_even_rev
2	instantiation	4, 5, 12, 31, 13, 14	, , ⊢
	: , :
3	instantiation	6, 7, 8, 9	, , ⊢
	: , : , : , :
4	theorem		⊢
	proveit.numbers.addition.add_complex_closure
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
6	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
7	instantiation	10, 11, 12, 31, 13, 14, 15^, 16^	, , ⊢
	: , :
8	instantiation	17, 18, 19	, , ⊢
	: , : , :
9	instantiation	20	⊢
	:
10	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_sum
11	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
12	instantiation	21	⊢
	: , : , :
13	instantiation	30, 27	⊢
	:
14	instantiation	30, 29	⊢
	:
15	instantiation	22, 27	⊢
	:
16	instantiation	22, 29	⊢
	:
17	axiom		⊢
	proveit.logic.equality.equals_transitivity
18	instantiation	23, 25, 24, 26, 28, 27, 29	, , ⊢
	: , : , : , : , : , : , :
19	instantiation	23, 24, 25, 26, 27, 28, 29	, , ⊢
	: , : , : , : , : , : , :
20	axiom		⊢
	proveit.logic.equality.equals_reflexivity
21	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
22	theorem		⊢
	proveit.numbers.negation.double_negation
23	theorem		⊢
	proveit.numbers.addition.leftward_commutation
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
25	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
26	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
27	assumption		⊢
28	instantiation	30, 31	⊢
	:
29	assumption		⊢
30	theorem		⊢
	proveit.numbers.negation.complex_closure
31	assumption		⊢
^*equality replacement requirements