Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > pm5.13 | Structured version Visualization version GIF version |
Description: Theorem *5.13 of [WhiteheadRussell] p. 123. (Contributed by NM, 3-Jan-2005.) (Proof shortened by Wolf Lammen, 14-Nov-2012.) |
Ref | Expression |
---|---|
pm5.13 | ⊢ ((𝜑 → 𝜓) ∨ (𝜓 → 𝜑)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm5.14 947 | 1 ⊢ ((𝜑 → 𝜓) ∨ (𝜓 → 𝜑)) |
Colors of variables: wff setvar class |
Syntax hints: → wi 4 ∨ wo 847 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 210 df-or 848 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |