Skip to content

make hypothesis name compatible with user choice #11

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Merged
ZRTMRH merged 1 commit into from
Apr 18, 2026
Merged

make hypothesis name compatible with user choice #11

Changes from all commits
Commits
Show all changes
1 commit
Select commit
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
4 changes: 2 additions & 2 deletions Game/Levels/VectorSpaceWorld/Level04.lean
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -82,14 +82,14 @@ Statement subspace_contains_zero {W : Set V} (hW : isSubspace (K := K) (V := V)
Hint "Start by expanding the subspace definition using obtain. This will give you the three properties: nonempty, closed under addition, and closed under scalar multiplication."
Hint (hidden := true) "Try `obtain ⟨h1, h2, h3⟩ := hW`"
obtain ⟨h1, _h2, h3⟩ := hW
Hint "The nonempty property h1 means there exists some element in W. Use obtain to extract this element."
Hint "The nonempty property {h1} means there exists some element in W. Use obtain to extract this element."
Hint (hidden := true) "Try `obtain ⟨w, hw⟩ := h1`"
obtain ⟨w, hw⟩ := h1
Hint "We want to show 0 ∈ W, but we know that 0 = 0 • w (from Level 1). Rewrite the goal using this fact."
Hint (hidden := true) "Try `rw [(zero_smul_v K V w).symm]`"
rw [(zero_smul_v K V w).symm]
Hint "Now apply the scalar multiplication closure property h3. Since w ∈ W and subspaces are closed under scalar multiplication, 0 • w ∈ W."
Hint (hidden := true) "Try `apply h3`"
Hint (hidden := true) "Try `apply {h3}`"
apply h3
Hint "Finally, provide the proof that w ∈ W, which we have from our obtain step."
Hint (hidden := true) "Try `exact hw`"
Expand Down
Loading