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Add (another) shorter ax-groth equivalent #4273
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rr-grothshortbi $p |- ( A. x E. y e. Univ x e. y <-> | ||
A. x E. y ( x e. y /\ A. z e. y A. f e. ~P y E. w e. y | ||
( ~P z C_ ( y i^i w ) /\ ( z i^i U. f ) C_ U. ( f i^i ~P ~P w ) ) ) | ||
) $= |
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Maybe:
rr-grothshortbi $p |- ( A. x E. y e. Univ x e. y <->
A. x E. y ( x e. y /\ A. z e. y A. f e. ~P y E. w e. y
( ~P z C_ ( y i^i w )
/\ ( z i^i U. f ) C_ U. ( f i^i ~P ~P w ) ) ) ) $=
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Approved. If you have time, however, I made two formatting suggestions.
( ~P z C_ ( y i^i w ) | ||
/\ ( z i^i U. f ) C_ U. ( f i^i ~P ~P w ) ) } $= |
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( ~P z C_ ( y i^i w ) | |
/\ ( z i^i U. f ) C_ U. ( f i^i ~P ~P w ) ) } $= | |
( ~P z C_ ( y i^i w ) /\ ( z i^i U. f ) C_ U. ( f i^i ~P ~P w ) ) } $= |
( ~P z C_ ( y i^i w ) | ||
/\ ( z i^i U. f ) C_ U. ( f i^i ~P ~P w ) ) ) ) $= |
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( ~P z C_ ( y i^i w ) | |
/\ ( z i^i U. f ) C_ U. ( f i^i ~P ~P w ) ) ) ) $= | |
( ~P z C_ ( y i^i w ) /\ ( z i^i U. f ) C_ U. ( f i^i ~P ~P w ) ) ) ) $= |
~ rr-grothshort is similar to ~ rr-groth but shorter.