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	, , , ⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	5, 6, 7	, , , ⊢
	: , : , :
3	instantiation	8	⊢
	:
4	instantiation	9, 10	, ⊢
	: , :
5	axiom		⊢
	proveit.logic.equality.equals_transitivity
6	instantiation	20, 11	, ⊢
	: , : , :
7	instantiation	12, 13, 14, 15, 16, 17, 18, 19	, , , ⊢
	: , : , : , : , : , : , : , : , : , :
8	axiom		⊢
	proveit.logic.equality.equals_reflexivity
9	theorem		⊢
	proveit.logic.equality.equals_reversal
10	instantiation	20, 21	, ⊢
	: , : , :
11	instantiation	20, 21	, ⊢
	: , : , :
12	theorem		⊢
	proveit.linear_algebra.tensors.factor_scalar_from_tensor_prod
13	instantiation	22, 28, 30	, ⊢
	: , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
15	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
16	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
17	instantiation	23, 24	⊢
	:
18	assumption		⊢
19	assumption		⊢
20	axiom		⊢
	proveit.logic.equality.substitution
21	instantiation	25, 26, 27	, ⊢
	: , :
22	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
23	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
24	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
25	axiom		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_extends_number_mult
26	instantiation	41, 29, 28	⊢
	: , : , :
27	instantiation	41, 29, 30	⊢
	: , : , :
28	assumption		⊢
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	41, 31, 32	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	41, 33, 34	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
34	instantiation	41, 35, 36	⊢
	: , : , :
35	instantiation	37, 38, 39	⊢
	: , :
36	assumption		⊢
37	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
38	instantiation	41, 42, 40	⊢
	: , : , :
39	instantiation	41, 42, 43	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
41	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat4