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	reference	5	⊢
2	instantiation	4, 9	⊢
	: , : , :
3	instantiation	5, 6, 7	⊢
	: , : , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	axiom		⊢
	proveit.logic.equality.equals_transitivity
6	instantiation	8, 12, 11, 18, 9^*	⊢
	: , : , : , : , :
7	instantiation	10, 18, 11, 12	⊢
	: , : , :
8	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.doubly_scaled_as_singly_scaled
9	instantiation	13, 18, 14^*	⊢
	: , :
10	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.one_as_scalar_mult_id
11	theorem		⊢
	proveit.physics.quantum.algebra.ket_zero_in_qubit_space
12	instantiation	15, 16	⊢
	:
13	axiom		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_extends_number_mult
14	instantiation	17, 18	⊢
	:
15	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
16	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
17	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
18	instantiation	25, 19, 20	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	25, 21, 22	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	25, 23, 24	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	25, 26, 27	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements