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	, ⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 4, 5	, ⊢
	: , : , :
3	axiom		⊢
	proveit.logic.equality.equals_transitivity
4	instantiation	6, 32, 29, 7, 8, 9, 12, 13, 15, 14	, ⊢
	: , : , : , : , : , : , :
5	instantiation	10, 29, 32, 11, 12, 13, 14, 15, 16^*	, ⊢
	: , : , : , : , : , :
6	theorem		⊢
	proveit.numbers.addition.leftward_commutation
7	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
8	instantiation	17	⊢
	: , :
9	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
10	theorem		⊢
	proveit.numbers.addition.association
11	instantiation	17	⊢
	: , :
12	instantiation	30, 21, 18	⊢
	: , : , :
13	instantiation	30, 21, 19	⊢
	: , : , :
14	instantiation	30, 21, 20	⊢
	: , : , :
15	instantiation	30, 21, 22	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_2
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
18	assumption		⊢
19	instantiation	30, 24, 23	⊢
	: , : , :
20	instantiation	30, 24, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
22	assumption		⊢
23	instantiation	30, 27, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	30, 27, 28	⊢
	: , : , :
26	instantiation	30, 31, 29	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	instantiation	30, 31, 32	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
30	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements