kbuzzard / FilterGame

An interactive game introducing the concept of a filter.
MIT License
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Done level 9, issue with applying le_antisymm in level 10 #10

Closed IgorPietrzak closed 4 months ago

IgorPietrzak commented 4 months ago

Level 9 also finished now - found a proof without specialize. Can't split up 𝓟 A = 𝓟 B using le_antisymm in level 10 as we only have a one way implication: ∀ {𝓧 : Type} {𝓕 𝓖 : Filter 𝓧}, 𝓕 ≤ 𝓖 → 𝓖 ≤ 𝓕 → 𝓕 = 𝓖. Not sure how else to go about it.