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, 6, 7, 8, 9, 10, 11^*	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.association
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	33	⊢
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	12	⊢
	: , :
6	instantiation	12	⊢
	: , :
7	instantiation	42, 30, 13	⊢
	: , : , :
8	instantiation	42, 30, 14	⊢
	: , : , :
9	reference	24	⊢
10	instantiation	15, 24	⊢
	:
11	instantiation	16, 17, 18	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13	instantiation	42, 36, 19	⊢
	: , : , :
14	instantiation	42, 36, 20	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.negation.complex_closure
16	axiom		⊢
	proveit.logic.equality.equals_transitivity
17	instantiation	21, 22	⊢
	: , : , :
18	instantiation	23, 24, 25, 26	⊢
	: , : , :
19	instantiation	42, 39, 27	⊢
	: , : , :
20	instantiation	42, 39, 28	⊢
	: , : , :
21	axiom		⊢
	proveit.logic.equality.substitution
22	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_3
23	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
24	instantiation	42, 30, 29	⊢
	: , : , :
25	instantiation	42, 30, 31	⊢
	: , : , :
26	instantiation	32	⊢
	:
27	instantiation	42, 43, 33	⊢
	: , : , :
28	instantiation	42, 43, 34	⊢
	: , : , :
29	instantiation	42, 36, 35	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	instantiation	42, 36, 37	⊢
	: , : , :
32	axiom		⊢
	proveit.logic.equality.equals_reflexivity
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
35	instantiation	42, 39, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
37	instantiation	42, 39, 40	⊢
	: , : , :
38	instantiation	42, 43, 41	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
40	instantiation	42, 43, 44	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
42	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
^*equality replacement requirements