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	6, 30, 7, 4, 5, 16, 17, 10, 9, 11	, ⊢
	: , : , : , : , : , : , :
3	instantiation	6, 27, 7, 8, 16, 17, 9, 10, 11	, ⊢
	: , : , : , : , : , : , :
4	instantiation	12	⊢
	: , :
5	instantiation	12	⊢
	: , :
6	theorem		⊢
	proveit.numbers.addition.leftward_commutation
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
8	instantiation	13	⊢
	: , : , :
9	instantiation	15, 14, 17	⊢
	: , :
10	assumption		⊢
11	instantiation	15, 16, 17	⊢
	: , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
14	instantiation	28, 19, 18	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
16	instantiation	28, 19, 20	⊢
	: , : , :
17	assumption		⊢
18	instantiation	28, 22, 21	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	28, 22, 23	⊢
	: , : , :
21	instantiation	28, 25, 24	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	28, 25, 26	⊢
	: , : , :
24	instantiation	28, 29, 27	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
26	instantiation	28, 29, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
28	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat2