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	⊢
	: , : , :
1	reference	35	⊢
2	instantiation	3, 4, 5^*	⊢
	: , :
3	theorem		⊢
	proveit.logic.equality.equals_reversal
4	instantiation	6, 19, 7, 43, 20, 8, 23, 14, 9^*	⊢
	: , : , : , : , : , :
5	instantiation	18, 19, 40, 20, 10, 23, 11^*	⊢
	: , : , : , : , : , :
6	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
8	instantiation	12	⊢
	: , : , : , :
9	instantiation	13, 14	⊢
	:
10	instantiation	25	⊢
	: , :
11	instantiation	29, 15, 16	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
13	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
14	assumption		⊢
15	instantiation	35, 17	⊢
	: , : , :
16	instantiation	18, 19, 40, 43, 20, 21, 22, 23, 24^*	⊢
	: , : , : , : , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
18	theorem		⊢
	proveit.numbers.addition.association
19	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
20	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
21	instantiation	25	⊢
	: , :
22	instantiation	41, 27, 26	⊢
	: , : , :
23	instantiation	41, 27, 28	⊢
	: , : , :
24	instantiation	29, 30, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
26	instantiation	41, 33, 32	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
28	instantiation	41, 33, 34	⊢
	: , : , :
29	axiom		⊢
	proveit.logic.equality.equals_transitivity
30	instantiation	35, 36	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_1
32	instantiation	41, 38, 37	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
34	instantiation	41, 38, 39	⊢
	: , : , :
35	axiom		⊢
	proveit.logic.equality.substitution
36	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
37	instantiation	41, 42, 40	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	41, 42, 43	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
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.nat1
^*equality replacement requirements