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.sets.enumeration.enum_set_def
2	reference	24	⊢
3	instantiation	4, 5, 6, 7	, , , ⊢
	: , : , : , :
4	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
5	instantiation	8, 9, 10, 11, 12, 13, 14, 15, 19^, 20^, 22^*	, ⊢
	: , : , : , :
6	assumption		⊢
7	instantiation	16, 17	⊢
	: , :
8	theorem		⊢
	proveit.core_expr_types.tuples.general_len
9	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
10	instantiation	18	⊢
	: , : , :
11	instantiation	18	⊢
	: , : , :
12	instantiation	18	⊢
	: , : , :
13	instantiation	21, 36, 19	⊢
	: , : , :
14	instantiation	21, 48, 20	⊢
	: , : , :
15	instantiation	21, 41, 22	⊢
	: , : , :
16	theorem		⊢
	proveit.logic.equality.equals_reversal
17	instantiation	23, 24	⊢
	: , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
19	instantiation	27, 28, 25, 30	⊢
	: , : , :
20	instantiation	26, 28, 30	⊢
	: , : , :
21	theorem		⊢
	proveit.logic.equality.sub_left_side_into
22	instantiation	27, 28, 29, 30	⊢
	: , : , :
23	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len
24	assumption		⊢
25	instantiation	46, 33, 31	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
27	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
28	instantiation	46, 33, 32	⊢
	: , : , :
29	instantiation	46, 33, 34	⊢
	: , : , :
30	instantiation	35	⊢
	:
31	instantiation	39, 40, 36	⊢
	: , : , :
32	instantiation	46, 37, 38	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
34	instantiation	39, 40, 41	⊢
	: , : , :
35	axiom		⊢
	proveit.logic.equality.equals_reflexivity
36	assumption		⊢
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
38	instantiation	46, 42, 43	⊢
	: , : , :
39	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
40	instantiation	44, 45	⊢
	: , :
41	assumption		⊢
42	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
43	instantiation	46, 47, 48	⊢
	: , : , :
44	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_within_real
46	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements