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Post by Eugene 2.0 on Feb 27, 2020 18:06:27 GMT
It's from Kleene [1967]. So, the question for h and h1 is - does "P1" and "P2" imply "C"?
V - square root; ^ - degree; v - or; & - and; ⊃ - material implication; ≡ - material equivalence.
(h)
P1) [x+3 = V3-x] ⊃ [x^2+6x+9 = 3-x] P2) [x^2+6x+9 = 3-x] ≡ [(x+6)(x+1) = 0] ≡ [x = -6] v [x = -1] C) [x+3 = V3-x] ⊃ [x = -6] v [x = -1]
(h1)
P1) [x+3 = V3-x] ⊃ [x^2+6x+9 = 3-x]
P2) [x^2+6x+9 = 3-x] ≡ [(x+6)(x+1) = 0] ≡ [x = -6] v [x = -1]
C) {[x = -6] ⊃ [x+3 = V3-x]} & {[x = -1] ⊃ [x+3 = V3-x]}
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