[Lattice L46-7]Home PageHome Quantum Logic Explorer < Previous   Next >
Related theorems
Unicode version

Theorem leao4 157
Description: L.e. absorption.
Assertion
Ref Expression
leao4 (b ^ a) =< (c v a)

Proof of Theorem leao4
StepHypRef Expression
1 lear 153 . 2 (b ^ a) =< a
2 leor 151 . 2 a =< (c v a)
31, 2letr 129 1 (b ^ a) =< (c v a)
Colors of variables: term
Syntax hints:   =< wle 2   v wo 6   ^ wa 7
This theorem is referenced by:  u3lem15 777  bi4 822  negantlem9 841  negantlem10 843  mh 861  marsdenlem4 865  cancellem 873
This theorem was proved from axioms:  ax-a1 29  ax-a2 30  ax-a3 31  ax-a5 33  ax-r1 34  ax-r2 35  ax-r4 36  ax-r5 37
This theorem depends on definitions:  df-a 39  df-le1 122  df-le2 123
metamath.org