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^*	⊢
	: , : , : , : , :
1	theorem		⊢
	proveit.linear_algebra.addition.vec_sum_index_shift
2	reference	29	⊢
3	reference	27	⊢
4	instantiation	8, 29	⊢
	:
5	instantiation	9, 16, 10	⊢
	: , :
6	instantiation	11, 12, 16, 13, 14	⊢
	: , : , :
7	instantiation	15, 16	⊢
	:
8	theorem		⊢
	proveit.numbers.negation.int_closure
9	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
10	instantiation	17	⊢
	:
11	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
12	instantiation	32, 20, 18	⊢
	: , : , :
13	instantiation	32, 20, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.add_7_1
15	theorem		⊢
	proveit.numbers.negation.double_negation
16	instantiation	32, 20, 21	⊢
	: , : , :
17	axiom		⊢
	proveit.logic.equality.equals_reflexivity
18	instantiation	32, 24, 22	⊢
	: , : , :
19	instantiation	32, 24, 23	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	instantiation	32, 24, 25	⊢
	: , : , :
22	instantiation	32, 28, 26	⊢
	: , : , :
23	instantiation	32, 28, 27	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	32, 28, 29	⊢
	: , : , :
26	instantiation	32, 33, 30	⊢
	: , : , :
27	instantiation	32, 33, 31	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
29	instantiation	32, 33, 34	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat7
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
32	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements