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.tensors.factor_scalar_from_tensor_prod
2	instantiation	8, 9, 10	, ⊢
	: , :
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
4	reference	15	⊢
5	assumption		⊢
6	modus ponens	11, 12	⊢
7	assumption		⊢
8	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
9	assumption		⊢
10	assumption		⊢
11	instantiation	13, 14, 15	⊢
	: , : , : , : , : , :
12	generalization	16	⊢
13	theorem		⊢
	proveit.linear_algebra.addition.summation_closure
14	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
15	instantiation	17, 18	⊢
	:
16	instantiation	19, 20	, ⊢
	:
17	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
18	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
19	assumption		⊢
20	instantiation	21, 22, 23	⊢
	:
21	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
22	instantiation	38, 24, 36	⊢
	: , : , :
23	instantiation	25, 26	⊢
	: , :
24	instantiation	27, 34, 35	⊢
	: , :
25	theorem		⊢
	proveit.numbers.ordering.relax_less
26	instantiation	28, 29, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
28	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
29	instantiation	31, 32	⊢
	:
30	instantiation	33, 34, 35, 36	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
32	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
33	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
34	instantiation	38, 39, 37	⊢
	: , : , :
35	instantiation	38, 39, 40	⊢
	: , : , :
36	assumption		⊢
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
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.nat4