ProofLaws.monotone.k: def of minebender-game@1.0.0.0 Import: import minebender-game@1.0.0.0/proof_laws.bend as ProofLaws Lines 533-541 of minebender-game@1.0.0.0/proof_laws.bend: https://jend.leeeet.dev/read.txt?path=minebender-game@1.0.0.0/proof_laws.bend&start_line=533&end_line=541 import Base import minebender-game@1.0.0.0/types.bend as T import minebender-game@1.0.0.0/game.bend as G import minebender-game@1.0.0.0/LAWS.bend as L def monotone.k(+w: Nat, +h: Nat, +layout: T.Grid(Bool), +g: G.Game, +a: T.Action, +q: T.Pos, vis: {L.revealed(G.knowledge(g), q) == True{} : Bool}, c1: Canon(w, h, layout, g), c2: Canon(w, h, layout, G.step(g, a))) -> {L.seen(G.knowledge(G.step(g, a)), q) == L.seen(G.knowledge(g), q) : T.Seen}: match c1: case (eg, f1): match c2: case (eg2, f2): monotone.k2(w, h, layout, g, a, q, vis, eg, eg2) Uses (14): https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Sigma https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/LAWS.bend&name=revealed https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/LAWS.bend&name=seen https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=Game https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=knowledge https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=step https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_laws.bend&name=Canon https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_laws.bend&name=monotone.k2 https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Action https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Grid https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Pos https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Seen