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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	13, 4	, ⊢
	: , : , :
3	instantiation	5, 6, 7, 8, 9, 10, 11, 12	, , , ⊢
	: , : , : , : , : , : , : , : , : , :
4	instantiation	13, 14	, ⊢
	: , : , :
5	theorem		⊢
	proveit.linear_algebra.tensors.factor_scalar_from_tensor_prod
6	instantiation	15, 21, 23	, ⊢
	: , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
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	16, 17	⊢
	:
11	assumption		⊢
12	assumption		⊢
13	axiom		⊢
	proveit.logic.equality.substitution
14	instantiation	18, 19, 20	, ⊢
	: , :
15	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
16	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
17	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
18	axiom		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_extends_number_mult
19	instantiation	34, 22, 21	⊢
	: , : , :
20	instantiation	34, 22, 23	⊢
	: , : , :
21	assumption		⊢
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
23	instantiation	34, 24, 25	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	34, 26, 27	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	34, 28, 29	⊢
	: , : , :
28	instantiation	30, 31, 32	⊢
	: , :
29	assumption		⊢
30	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
31	instantiation	34, 35, 33	⊢
	: , : , :
32	instantiation	34, 35, 36	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
34	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat4