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	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	4, 8, 37, 36, 9, 5, 11, 12, 13, 17, 6^*	⊢
	: , : , : , : , : , :
3	instantiation	7, 8, 40, 36, 9, 10, 11, 12, 13, 14^*	⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
5	instantiation	15	⊢
	: , : , :
6	instantiation	16, 17	⊢
	:
7	theorem		⊢
	proveit.numbers.addition.association
8	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
9	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
10	instantiation	18	⊢
	: , :
11	instantiation	38, 21, 19	⊢
	: , : , :
12	instantiation	38, 21, 20	⊢
	: , : , :
13	instantiation	38, 21, 22	⊢
	: , : , :
14	instantiation	23, 24, 25	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
16	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
17	assumption		⊢
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
19	instantiation	38, 28, 26	⊢
	: , : , :
20	instantiation	38, 28, 27	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
22	instantiation	38, 28, 29	⊢
	: , : , :
23	axiom		⊢
	proveit.logic.equality.equals_transitivity
24	instantiation	30, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_2
26	instantiation	38, 34, 32	⊢
	: , : , :
27	instantiation	38, 34, 33	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
29	instantiation	38, 34, 35	⊢
	: , : , :
30	axiom		⊢
	proveit.logic.equality.substitution
31	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_3
32	instantiation	38, 39, 36	⊢
	: , : , :
33	instantiation	38, 39, 37	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
35	instantiation	38, 39, 40	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
38	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements