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Theorem ax12or 1448
Description: Another name for ax-i12 1443. (Contributed by NM, 3-Feb-2015.)
Assertion
Ref Expression
ax12or (∀𝑧 𝑧 = 𝑥 ∨ (∀𝑧 𝑧 = 𝑦 ∨ ∀𝑧(𝑥 = 𝑦 → ∀𝑧 𝑥 = 𝑦)))

Proof of Theorem ax12or
StepHypRef Expression
1 ax-i12 1443 1 (∀𝑧 𝑧 = 𝑥 ∨ (∀𝑧 𝑧 = 𝑦 ∨ ∀𝑧(𝑥 = 𝑦 → ∀𝑧 𝑥 = 𝑦)))
Colors of variables: wff set class
Syntax hints:  wi 4  wo 664  wal 1287
This theorem was proved from axioms:  ax-i12 1443
This theorem is referenced by:  hbequid  1451  hbae  1653  equvini  1688  equveli  1689
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