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^*	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.association
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	reference	26	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	11	⊢
	: , :
7	reference	24	⊢
8	instantiation	12, 23	⊢
	:
9	instantiation	41, 29, 13	⊢
	: , : , :
10	instantiation	14, 15, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	theorem		⊢
	proveit.numbers.negation.complex_closure
13	instantiation	41, 33, 17	⊢
	: , : , :
14	axiom		⊢
	proveit.logic.equality.equals_transitivity
15	instantiation	18, 19	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.add_5_1
17	instantiation	41, 37, 20	⊢
	: , : , :
18	axiom		⊢
	proveit.logic.equality.substitution
19	instantiation	21, 22, 23, 24, 25	⊢
	: , : , :
20	instantiation	41, 42, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
22	instantiation	41, 29, 27	⊢
	: , : , :
23	instantiation	41, 29, 28	⊢
	: , : , :
24	instantiation	41, 29, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.add_5_3
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
27	instantiation	41, 33, 31	⊢
	: , : , :
28	instantiation	41, 33, 32	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	41, 33, 34	⊢
	: , : , :
31	instantiation	41, 37, 35	⊢
	: , : , :
32	instantiation	41, 37, 36	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
34	instantiation	41, 37, 38	⊢
	: , : , :
35	instantiation	41, 42, 39	⊢
	: , : , :
36	instantiation	41, 42, 40	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
38	instantiation	41, 42, 43	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
41	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
^*equality replacement requirements