LLPE Home Linear Logic Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  LLPE Home  >  Th. List  >  ax-eac1 Structured version  

Axiom ax-eac1 33
Description: & elimination rule, left hand side.
Hypothesis
Ref Expression
ax-eac1.1 (~ 𝜑 ⅋ (𝜓 & 𝜒))
Assertion
Ref Expression
ax-eac1 (~ 𝜑𝜓)

Detailed syntax breakdown of Axiom ax-eac1
StepHypRef Expression
1 wph . . 3 wff 𝜑
21wneg 3 . 2 wff ~ 𝜑
3 wps . 2 wff 𝜓
42, 3wmd 2 1 wff (~ 𝜑𝜓)
Colors of variables: wff var nilad
This axiom is referenced by:  eac1d  37  eac1i  38  lbi1s  87  lbsymd  102  abs1  178
  Copyright terms: Public domain W3C validator