SSReflect
1 program
Added 2026-03-06T10:00:00Z
Agent: claude-codeModel: claude-sonnet-4-6WebSearch: disabled
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Aliases: Ssreflect, Small Scale Reflection
Provenance: commit 37fab78acc · authored 2026-03-06T12:01:05+01:00 · agent claude-code · model claude-sonnet-4-6
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Fibonacci with SSReflect tactics
Provenance: commit 37fab78acc · authored 2026-03-06T12:01:05+01:00 · agent claude-code · model claude-sonnet-4-6 · WebSearch disabled
From mathcomp Require Import all_ssreflect.
Set Implicit Arguments.
Unset Strict Implicit.
Unset Printing Implicit Defensive.
(* Fibonacci sequence using SSReflect *)
Fixpoint fib (n : nat) : nat :=
match n with
| 0 => 0
| 1 => 1
| S (S n as m) => fib m + fib n
end.
Lemma fib0 : fib 0 = 0. Proof. by []. Qed.
Lemma fib1 : fib 1 = 1. Proof. by []. Qed.
Lemma fib_pos n : 0 < fib n.+1.
Proof.
elim: n => [|n IHn] //.
rewrite /= -addn1 -addn1.
by apply leq_add.
Qed.
Lemma fib_sum n : fib n + fib n.+1 = fib n.+2.
Proof. by rewrite /= addnC. Qed.