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feat(set_theory/game/pgame): define pgame.identical pgame.memₗ pgame.memᵣ
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pgame.identicalpgame.identical pgame.memₗ pgame.memᵣ
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vihdzp
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Mar 1, 2023
| every right move of `x` is identical to some right move of `y`, and vice versa. -/ | ||
| def identical : Π (x y : pgame), Prop | ||
| | (mk _ _ xL xR) (mk _ _ yL yR) := | ||
| ((∀ i, ∃ j, identical (xL i) (yL j)) ∧ (∀ j, ∃ i, identical (xL i) (yL j))) ∧ |
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Can you use forall_exists_rel in this definition?
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I'm not sure how to show it is well-founded recursion to Lean...
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Ah, me neither unfortunately.
YaelDillies
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Mar 28, 2023
Co-authored-by: Yaël Dillies <[email protected]>
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YaelDillies
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YaelDillies
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Co-authored-by: Yaël Dillies <[email protected]>
YaelDillies
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Mar 30, 2023
YaelDillies
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Mar 30, 2023
Co-authored-by: Yaël Dillies <[email protected]>
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I've separated the |
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I'm closing this as its been replaced by leanprover-community/mathlib4#5901 |
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This PR is the first step to remove
pgame.relabelling(which is only for implementing things in lean and not real identity) and define games with identity aseq.Zulip