Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > ax12or | GIF version |
Description: Another name for ax-i12 1485. (Contributed by NM, 3-Feb-2015.) |
Ref | Expression |
---|---|
ax12or | ⊢ (∀𝑧 𝑧 = 𝑥 ∨ (∀𝑧 𝑧 = 𝑦 ∨ ∀𝑧(𝑥 = 𝑦 → ∀𝑧 𝑥 = 𝑦))) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-i12 1485 | 1 ⊢ (∀𝑧 𝑧 = 𝑥 ∨ (∀𝑧 𝑧 = 𝑦 ∨ ∀𝑧(𝑥 = 𝑦 → ∀𝑧 𝑥 = 𝑦))) |
Colors of variables: wff set class |
Syntax hints: → wi 4 ∨ wo 697 ∀wal 1329 |
This theorem was proved from axioms: ax-i12 1485 |
This theorem is referenced by: hbequid 1493 hbae 1696 equvini 1731 equveli 1732 |
Copyright terms: Public domain | W3C validator |