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	6	⊢
2	instantiation	4, 5	⊢
	: , : , :
3	instantiation	6, 7, 8	⊢
	: , : , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	9, 10	⊢
	:
6	axiom		⊢
	proveit.logic.equality.equals_transitivity
7	instantiation	11, 12, 13, 39, 14, 15, 20, 21, 16	⊢
	: , : , : , : , : , :
8	instantiation	17, 21, 20, 18	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.negation.double_negation
10	instantiation	19, 20, 21	⊢
	: , :
11	theorem		⊢
	proveit.numbers.addition.disassociation
12	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
14	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
15	instantiation	22	⊢
	: , :
16	instantiation	37, 25, 23	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
18	instantiation	24	⊢
	:
19	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
20	assumption		⊢
21	instantiation	37, 25, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
23	instantiation	37, 27, 28	⊢
	: , : , :
24	axiom		⊢
	proveit.logic.equality.equals_reflexivity
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	37, 29, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
28	instantiation	37, 31, 32	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
30	instantiation	37, 33, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
32	instantiation	37, 35, 36	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
34	instantiation	37, 38, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
36	instantiation	40, 41	⊢
	:
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
40	theorem		⊢
	proveit.numbers.negation.int_neg_closure
41	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1