← Session 18 — Lean tier (ii): finite-height proof + certified base points
thinking (387 chars)
Fine. PrintAxioms references declarations by name only — signature changes are safe.
Now let me record the design and update todos, then start implementing. First a sanity check on my planned `pos_of_convex_base` — check Mathlib lemma names:
- `ConvexOn.monotoneOn_deriv` — verify existence in this Mathlib version.
- `exists_deriv_eq_slope` — verify.
Let me grep the vendored Mathlib.
PrintAxioms references only names — safe. Verifying the two Mathlib lemmas my convexity argument needs.
tool: Bash
input
{
"command": "grep -rn \"theorem ConvexOn.monotoneOn_deriv\\b\" D:/Python/Quantum/zeta-23-lean/.lake/packages/mathlib/Mathlib/Analysis/Convex/ | head -3; grep -rn \"theorem exists_deriv_eq_slope\\b\" D:/Python/Quantum/zeta-23-lean/.lake/packages/mathlib/Mathlib/Analysis/ | head -3",
"description": "Verify Mathlib lemma names for convexity argument"
}
raw content_json (database row)
[{"type":"thinking","thinking":"Fine. PrintAxioms references declarations by name only — signature changes are safe.\n\nNow let me record the design and update todos, then start implementing. First a sanity check on my planned `pos_of_convex_base` — check Mathlib lemma names:\n- `ConvexOn.monotoneOn_deriv` — verify existence in this Mathlib version.\n- `exists_deriv_eq_slope` — verify.\n\nLet me grep the vendored Mathlib.","signature":""},{"type":"text","text":"PrintAxioms references only names — safe. Verifying the two Mathlib lemmas my convexity argument needs."},{"type":"tool_use","id":"Bash_24","name":"Bash","input":{"command":"grep -rn \"theorem ConvexOn.monotoneOn_deriv\\b\" D:/Python/Quantum/zeta-23-lean/.lake/packages/mathlib/Mathlib/Analysis/Convex/ | head -3; grep -rn \"theorem exists_deriv_eq_slope\\b\" D:/Python/Quantum/zeta-23-lean/.lake/packages/mathlib/Mathlib/Analysis/ | head -3","description":"Verify Mathlib lemma names for convexity argument"},"extra_content":null}]