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^, 5^	, , ⊢
	: , :
1	theorem		⊢
	proveit.numbers.exponentiation.even_pow_is_even_fn_rev
2	instantiation	6, 7, 14, 33, 15, 16	, , ⊢
	: , :
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
5	instantiation	8, 9, 10, 11	, , ⊢
	: , : , : , :
6	theorem		⊢
	proveit.numbers.addition.add_complex_closure
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
8	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
9	instantiation	12, 13, 14, 33, 15, 16, 17^, 18^	, , ⊢
	: , :
10	instantiation	19, 20, 21	, , ⊢
	: , : , :
11	instantiation	22	⊢
	:
12	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_sum
13	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
14	instantiation	23	⊢
	: , : , :
15	instantiation	32, 29	⊢
	:
16	instantiation	32, 31	⊢
	:
17	instantiation	24, 29	⊢
	:
18	instantiation	24, 31	⊢
	:
19	axiom		⊢
	proveit.logic.equality.equals_transitivity
20	instantiation	25, 27, 26, 28, 30, 29, 31	, , ⊢
	: , : , : , : , : , : , :
21	instantiation	25, 26, 27, 28, 29, 30, 31	, , ⊢
	: , : , : , : , : , : , :
22	axiom		⊢
	proveit.logic.equality.equals_reflexivity
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
24	theorem		⊢
	proveit.numbers.negation.double_negation
25	theorem		⊢
	proveit.numbers.addition.leftward_commutation
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
27	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
28	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
29	assumption		⊢
30	instantiation	32, 33	⊢
	:
31	assumption		⊢
32	theorem		⊢
	proveit.numbers.negation.complex_closure
33	assumption		⊢
^*equality replacement requirements