Metamath Recent Proofs http://us2.metamath.org:8888/mpeuni/mmrecent.html Recent proofs for Metamath proof system en 9324 : hhssba The base set of a subspace. ... http://us2.metamath.org:8888/mpeuni/hhssba.html 17-May-2008   ⊢ W = ⟨⟨( +h ↾ (H × H)), ( ·h ↾ (ℂ × H))⟩, (normh ↾ H)⟩    &
   ⊢ H ∈ Sℋ    ⇒
   ⊢ H = (Base ‘W)
    ]]> 4775 : card1 A set has cardinality one iff it is a si... http://us2.metamath.org:8888/mpeuni/card1.html 17-May-2008   ⊢ ((card ‘A) = 1o ↔ ∃x A = {x})
    ]]> 1128 : ax10o Show that ax-10o... http://us2.metamath.org:8888/mpeuni/ax10o.html 17-May-2008ax-10o 1125 can be derived from ax-10 1127. An open problem is whether this theorem can be derived from ax-10 1127 and the others when ax-11 1124 is replaced with ax-11o 1205.

This theorem should not be referenced in any proof. Instead, use ax-10o 1125 above so that uses of ax-10o 1125 can be more easily identified.
   ⊢ (∀x x = y → (∀xφ → ∀yφ))
    ]]> 1126 : ax10 Derivation of ax-10... http://us2.metamath.org:8888/mpeuni/ax10.html 17-May-2008ax-10 1127 from original version ax-10o 1125.

This theorem should not be referenced in any proof. Instead, use ax-10 1127 below so that uses of ax-10 1127 can be more easily identified.
   ⊢ (∀x x = y → ∀y y = x)
    ]]> 8528 : psasym A poset is antisymmetric. ... http://us2.metamath.org:8888/mpeuni/psasym.html 16-May-2008   ⊢ ((R ∈ Poset ⋀ ARB ⋀ BRA) → A = B)
    ]]> 8526 : psrel A poset is a relation. ... http://us2.metamath.org:8888/mpeuni/psrel.html 16-May-2008   ⊢ (A ∈ Poset → Rel A)
    ]]> 3449 : rnresv The range of a universal restriction. ... http://us2.metamath.org:8888/mpeuni/rnresv.html 16-May-2008   ⊢ ran ( A ↾ V) = ran A
    ]]> 8527 : pslem Lemma for psref... http://us2.metamath.org:8888/mpeuni/pslem.html 15-May-2008   ⊢ (R ∈ Poset → ((A ∈ S ⋀ B ∈ T ⋀ C ∈ U) → (((ARB ⋀ BRC) → ARC) ⋀ ((A ∈ ∪∪R → ARA) ⋀ ((ARB ⋀ BRA) → A = B)))))
    ]]> 8525 : isps The predicate ... http://us2.metamath.org:8888/mpeuni/isps.html 15-May-2008   ⊢ (R ∈ A → (R ∈ Poset ↔ (Rel R ⋀ (R ∘ R) ⊆ R ⋀ (R ∩ ◡R) = (I ↾ ∪∪R))))
    ]]> 3448 : dfrel3 Alternate definition of relation. ... http://us2.metamath.org:8888/mpeuni/dfrel3.html 15-May-2008   ⊢ (Rel R ↔ (R ↾ V) = R)]]>