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	reference	11	⊢
2	modus ponens	5, 6	⊢
3	instantiation	7, 24	⊢
	: , :
4	instantiation	7, 24	⊢
	: , :
5	instantiation	8, 9	⊢
	: , : , : , : , : , : , :
6	generalization	10	⊢
7	theorem		⊢
	proveit.core_expr_types.conditionals.satisfied_condition_reduction
8	theorem		⊢
	proveit.core_expr_types.lambda_maps.general_lambda_substitution
9	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
10	instantiation	11, 12	, ⊢
	: , : , :
11	axiom		⊢
	proveit.logic.equality.substitution
12	instantiation	13, 14, 15	, ⊢
	: , :
13	axiom		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_extends_number_mult
14	instantiation	29, 17, 16	⊢
	: , : , :
15	instantiation	29, 17, 18	⊢
	: , : , :
16	assumption		⊢
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
18	instantiation	29, 19, 20	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
20	instantiation	29, 21, 22	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
22	instantiation	29, 23, 24	⊢
	: , : , :
23	instantiation	25, 26, 27	⊢
	: , :
24	assumption		⊢
25	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
26	instantiation	29, 30, 28	⊢
	: , : , :
27	instantiation	29, 30, 31	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
^*equality replacement requirements