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, 11^*	, , ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.association
2	reference	38	⊢
3	reference	20	⊢
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
5	instantiation	26	⊢
	: , :
6	instantiation	12	⊢
	: , : , : , :
7	instantiation	36, 27, 13	⊢
	: , : , :
8	reference	30	⊢
9	assumption		⊢
10	assumption		⊢
11	instantiation	14, 15, 16^*	⊢
	: , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
13	instantiation	36, 32, 17	⊢
	: , : , :
14	theorem		⊢
	proveit.logic.equality.equals_reversal
15	instantiation	18, 19, 20, 38, 21, 22, 23, 30, 24^*	⊢
	: , : , : , : , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
17	instantiation	36, 34, 25	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
19	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
20	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
21	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
22	instantiation	26	⊢
	: , :
23	instantiation	36, 27, 28	⊢
	: , : , :
24	instantiation	29, 30	⊢
	:
25	instantiation	36, 37, 31	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
28	instantiation	36, 32, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat9
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	36, 34, 35	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
35	instantiation	36, 37, 38	⊢
	: , : , :
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.nat1
^*equality replacement requirements