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	31, 4	⊢
	: , : , :
3	instantiation	5, 30, 6^*	⊢
	: , :
4	modus ponens	7, 8	⊢
5	axiom		⊢
	proveit.numbers.summation.sum_single
6	instantiation	9, 10, 11, 12, 13	⊢
	: , : , :
7	instantiation	14, 15	⊢
	: , : , : , : , : , :
8	generalization	16	⊢
9	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
10	instantiation	35, 19, 17	⊢
	: , : , :
11	instantiation	35, 19, 18	⊢
	: , : , :
12	instantiation	35, 19, 20	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.add_7_2
14	axiom		⊢
	proveit.core_expr_types.lambda_maps.lambda_substitution
15	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
16	instantiation	31, 21	⊢
	: , : , :
17	instantiation	35, 24, 22	⊢
	: , : , :
18	instantiation	35, 24, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	35, 24, 25	⊢
	: , : , :
21	instantiation	31, 26	⊢
	: , : , :
22	instantiation	35, 29, 27	⊢
	: , : , :
23	instantiation	35, 29, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	35, 29, 30	⊢
	: , : , :
26	instantiation	31, 32	⊢
	: , : , :
27	instantiation	35, 36, 33	⊢
	: , : , :
28	instantiation	35, 36, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	35, 36, 37	⊢
	: , : , :
31	axiom		⊢
	proveit.logic.equality.substitution
32	theorem		⊢
	proveit.numbers.numerals.decimals.add_8_1
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat7
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat9
^*equality replacement requirements