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, 7	⊢
	: , : , : , : , : , :
2	generalization	5	, ⊢
3	theorem		⊢
	proveit.linear_algebra.addition.summation_closure
4	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
5	instantiation	6, 7, 8, 9	, , ⊢
	: , : , : , :
6	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
7	instantiation	10, 14, 15, 16	⊢
	: , : , :
8	instantiation	11, 21, 12	⊢
	: , :
9	instantiation	13, 14, 15, 16, 17, 18, 19	, ⊢
	: , : , : , :
10	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
11	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
12	instantiation	20, 21, 22	⊢
	: , :
13	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
14	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
15	instantiation	25	⊢
	: , :
16	instantiation	23, 24	⊢
	:
17	instantiation	25	⊢
	: , :
18	assumption		⊢
19	assumption		⊢
20	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
21	instantiation	39, 27, 26	⊢
	: , : , :
22	instantiation	39, 27, 28	⊢
	: , : , :
23	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
24	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
26	instantiation	39, 30, 29	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	39, 30, 31	⊢
	: , : , :
29	instantiation	39, 32, 33	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
31	instantiation	39, 40, 34	⊢
	: , : , :
32	instantiation	35, 36, 37	⊢
	: , :
33	assumption		⊢
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
35	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
36	instantiation	39, 40, 38	⊢
	: , : , :
37	instantiation	39, 40, 41	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat4