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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 5, 9, 8, 11, 10, 6, 12, 13	⊢
	: , : , : , : , : , :
3	instantiation	7, 8, 9, 10, 11, 12, 13	⊢
	: , : , : , :
4	theorem		⊢
	proveit.numbers.addition.disassociation
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
6	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
7	theorem		⊢
	proveit.numbers.addition.elim_zero_any
8	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
10	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
11	instantiation	14	⊢
	: , :
12	instantiation	26, 16, 15	⊢
	: , : , :
13	instantiation	26, 16, 17	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	instantiation	26, 18, 19	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
17	instantiation	26, 20, 21	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
19	instantiation	26, 22, 23	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
21	instantiation	26, 24, 25	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
23	assumption		⊢
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
25	instantiation	26, 27, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
28	instantiation	29, 30	⊢
	:
29	theorem		⊢
	proveit.numbers.negation.int_neg_closure
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1