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attempt to remove unnecessary axioms #52
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after thinking a bit, I think we don't even need functional extensionality, if we always use equivalence between |
@Ailrun if you feel good, please go ahead and merge it. the next step is cumulativity and the corresponding lemmas for contexts and substitutions (with potential adjustments). The latter part can go in parallel with the realizability proof. I think @Antoine-something can also help get things done in par. maybe you can work out the lemmas for contexts and substitutions? realizability is a bit more difficult so it can be left for Clare. |
#51
Please check my change carefully and see if it makes sense.