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	modus ponens	1, 2	, ⊢
1	instantiation	3, 4	⊢
	: , : , : , : , : , : , :
2	generalization	5	, ⊢
3	theorem		⊢
	proveit.core_expr_types.lambda_maps.general_lambda_substitution
4	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
5	instantiation	6, 7, 35, 8, 9, 10, 11, 12, 13, 14	, , ⊢
	: , : , : , : , : , :
6	theorem		⊢
	proveit.numbers.multiplication.association
7	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	instantiation	15	⊢
	: , :
10	instantiation	15	⊢
	: , :
11	instantiation	36, 18, 16	⊢
	: , : , :
12	instantiation	36, 18, 17	⊢
	: , : , :
13	instantiation	36, 18, 21	⊢
	: , : , :
14	instantiation	36, 18, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	assumption		⊢
17	assumption		⊢
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	20, 21, 22	⊢
	: , :
20	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
21	instantiation	36, 24, 23	⊢
	: , : , :
22	instantiation	36, 24, 25	⊢
	: , : , :
23	instantiation	36, 27, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	36, 27, 28	⊢
	: , : , :
26	instantiation	36, 29, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	instantiation	36, 37, 31	⊢
	: , : , :
29	instantiation	32, 33, 34	⊢
	: , :
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
32	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
33	instantiation	36, 37, 35	⊢
	: , : , :
34	instantiation	36, 37, 38	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat4