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, 8, 9, 10^*	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.association
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	30	⊢
4	reference	29	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	11	⊢
	: , :
7	instantiation	31, 14, 12	⊢
	: , : , :
8	instantiation	31, 14, 13	⊢
	: , : , :
9	instantiation	31, 14, 15	⊢
	: , : , :
10	instantiation	16, 17, 18	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	31, 21, 19	⊢
	: , : , :
13	instantiation	31, 21, 20	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
15	instantiation	31, 21, 22	⊢
	: , : , :
16	axiom		⊢
	proveit.logic.equality.equals_transitivity
17	instantiation	23, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_3
19	instantiation	31, 27, 25	⊢
	: , : , :
20	instantiation	31, 27, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	31, 27, 28	⊢
	: , : , :
23	axiom		⊢
	proveit.logic.equality.substitution
24	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_2
25	instantiation	31, 32, 29	⊢
	: , : , :
26	instantiation	31, 32, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	instantiation	31, 32, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
^*equality replacement requirements