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

Theorem u1lemc3 673
Description: Commutation theorem for Sasaki implication.
Hypothesis
Ref Expression
ulemc3.1 a C b
Assertion
Ref Expression
u1lemc3 a C (b ->1 a)

Proof of Theorem u1lemc3
StepHypRef Expression
1 ulemc3.1 . 2 a C b
2 comid 179 . 2 a C a
31, 2u1lemc2 668 1 a C (b ->1 a)
Colors of variables: term
Syntax hints:   C wc 3   ->1 wi1 13
This theorem was proved from axioms:  ax-a1 29  ax-a2 30  ax-a3 31  ax-a4 32  ax-a5 33  ax-r1 34  ax-r2 35  ax-r4 36  ax-r5 37  ax-r3 421
This theorem depends on definitions:  df-b 38  df-a 39  df-t 40  df-f 41  df-i1 43  df-le1 122  df-le2 123  df-c1 124  df-c2 125
metamath.org